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10323130404224 = 2711591025912113
BaseRepresentation
bin1001011000111000101010…
…0001010100110110000000
31100112212210201002120010102
42112032022201110312000
52323113232340413344
633542214115021532
72113551536432531
oct226161241246600
940485721076112
1010323130404224
113320018a98370
1211a883759a8a8
1359b60c073a41
142798dc1c6688
1512d7dd0bee4e
hex9638a854d80

10323130404224 has 128 divisors (see below), whose sum is σ = 22819577904000. Its totient is φ = 4611970539520.

The previous prime is 10323130404217. The next prime is 10323130404227. The reversal of 10323130404224 is 42240403132301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×103231304042242 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323130404227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 852229592 + ... + 852241704.

It is an arithmetic number, because the mean of its divisors is an integer number (178277952375).

Almost surely, 210323130404224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10323130404224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11409788952000).

10323130404224 is an abundant number, since it is smaller than the sum of its proper divisors (12496447499776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10323130404224 is a wasteful number, since it uses less digits than its factorization.

10323130404224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22456 (or 22444 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 10323130404224 its reverse (42240403132301), we get a palindrome (52563533536525).

The spelling of 10323130404224 in words is "ten trillion, three hundred twenty-three billion, one hundred thirty million, four hundred four thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 59 64 88 118 128 176 236 352 472 649 704 944 1298 1408 1888 2596 3776 5192 7552 10259 10384 12113 20518 20768 24226 41036 41536 48452 82072 83072 96904 112849 133243 164144 193808 225698 266486 328288 387616 451396 532972 605281 656576 714667 775232 902792 1065944 1210562 1313152 1429334 1550464 1805584 2131888 2421124 2858668 3611168 4263776 4842248 5717336 6658091 7222336 7861337 8527552 9684496 11434672 13316182 14444672 15722674 17055104 19368992 22869344 26632364 31445348 38737984 45738688 53264728 62890696 77475968 91477376 106529456 124267267 125781392 213058912 248534534 251562784 426117824 497069068 503125568 852235648 994138136 1006251136 1366939937 1988276272 2733879874 3976552544 5467759748 7331768753 7953105088 10935519496 14663537506 15906210176 21871038992 29327075012 43742077984 58654150024 80649456283 87484155968 117308300048 161298912566 174968311936 234616600096 322597825132 469233200192 645195650264 938466400384 1290391300528 2580782601056 5161565202112 10323130404224