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31002231040 = 2851111511913
BaseRepresentation
bin11100110111111000…
…001000000100000000
32222000121011111220021
4130313320020010000
51001443032343130
622124153223224
72145156421144
oct346770100400
988017144807
1031002231040
1112169a51050
126012701b14
132c00c03911
1417015b7224
15c16aeb37a
hex737e08100

31002231040 has 144 divisors (see below), whose sum is σ = 81123710976. Its totient is φ = 11257856000.

The previous prime is 31002231023. The next prime is 31002231053. The reversal of 31002231040 is 4013220013.

It is a happy number.

It is a super-2 number, since 2×310022310402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16205124 + ... + 16207036.

It is an arithmetic number, because the mean of its divisors is an integer number (563359104).

Almost surely, 231002231040 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 31002231040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40561855488).

31002231040 is an abundant number, since it is smaller than the sum of its proper divisors (50121479936).

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

31002231040 is a wasteful number, since it uses less digits than its factorization.

31002231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096 (or 3082 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 31002231040 its reverse (4013220013), we get a palindrome (35015451053).

The spelling of 31002231040 in words is "thirty-one billion, two million, two hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1151 1280 1408 1760 1913 2302 2816 3520 3826 4604 5755 7040 7652 9208 9565 11510 12661 14080 15304 18416 19130 21043 23020 25322 30608 36832 38260 42086 46040 50644 61216 63305 73664 76520 84172 92080 101288 105215 122432 126610 147328 153040 168344 184160 202576 210430 244864 253220 294656 306080 336688 368320 405152 420860 489728 506440 612160 673376 736640 810304 841720 1012880 1224320 1346752 1473280 1620608 1683440 2025760 2201863 2448640 2693504 3241216 3366880 4051520 4403726 5387008 6733760 8103040 8807452 11009315 13467520 16206080 17614904 22018630 24220493 26935040 35229808 44037260 48440986 70459616 88074520 96881972 121102465 140919232 176149040 193763944 242204930 281838464 352298080 387527888 484409860 563676928 704596160 775055776 968819720 1409192320 1550111552 1937639440 2818384640 3100223104 3875278880 6200446208 7750557760 15501115520 31002231040