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1322101131312 = 243137907267959
BaseRepresentation
bin10011001111010011010…
…111100100100000110000
311200101120111112020210010
4103033103113210200300
5133130130342200222
62451210451334520
7164342620123503
oct23172327444060
94611514466703
101322101131312
1146a777692275
12194294bb1440
139789ab97b30
1447dc093313a
15245ce37d80c
hex133d35e4830

1322101131312 has 80 divisors (see below), whose sum is σ = 3678632052480. Its totient is φ = 406747382016.

The previous prime is 1322101131269. The next prime is 1322101131313. The reversal of 1322101131312 is 2131311012231.

It is a super-3 number, since 3×13221011313123 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1322101131313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4799989 + ... + 5067947.

It is an arithmetic number, because the mean of its divisors is an integer number (45982900656).

Almost surely, 21322101131312 is an apocalyptic number.

1322101131312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322101131312 is an abundant number, since it is smaller than the sum of its proper divisors (2356530921168).

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

1322101131312 is a wasteful number, since it uses less digits than its factorization.

1322101131312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275890 (or 275884 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1322101131312 its reverse (2131311012231), we get a palindrome (3453412143543).

The spelling of 1322101131312 in words is "one trillion, three hundred twenty-two billion, one hundred one million, one hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 7907 15814 23721 31628 47442 63256 94884 102791 126512 189768 205582 267959 308373 379536 411164 535918 616746 803877 822328 1071836 1233492 1607754 1644656 2143672 2466984 3215508 3483467 4287344 4933968 6431016 6966934 10450401 12862032 13933868 20900802 27867736 41801604 55735472 83603208 167206416 2118751813 4237503626 6356255439 8475007252 12712510878 16950014504 25425021756 27543773569 33900029008 50850043512 55087547138 82631320707 101700087024 110175094276 165262641414 220350188552 330525282828 440700377104 661050565656 1322101131312