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31002110020 = 2257674098081
BaseRepresentation
bin11100110111110111…
…101010100001000100
32222000120221100220001
4130313313222201010
51001443020010040
622124150451044
72145155405260
oct346767524104
988016840801
1031002110020
1112169979132
126012663a84
132c00b907cb
1417015850a0
15c16ac559a
hex737dea844

31002110020 has 96 divisors (see below), whose sum is σ = 75709589760. Its totient is φ = 10443755520.

The previous prime is 31002110003. The next prime is 31002110123. The reversal of 31002110020 is 2001120013.

It is a super-2 number, since 2×310021100202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 31002109979 and 31002110006.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3832380 + ... + 3840460.

It is an arithmetic number, because the mean of its divisors is an integer number (788641560).

Almost surely, 231002110020 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 31002110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37854794880).

31002110020 is an abundant number, since it is smaller than the sum of its proper divisors (44707479740).

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

31002110020 is a wasteful number, since it uses less digits than its factorization.

31002110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8573 (or 8571 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 31002110020 its reverse (2001120013), we get a palindrome (33003230033).

The spelling of 31002110020 in words is "thirty-one billion, two million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 67 70 134 140 268 335 409 469 670 818 938 1340 1636 1876 2045 2345 2863 4090 4690 5726 8081 8180 9380 11452 14315 16162 27403 28630 32324 40405 54806 56567 57260 80810 109612 113134 137015 161620 191821 226268 274030 282835 383642 541427 548060 565670 767284 959105 1082854 1131340 1918210 2165708 2707135 3305129 3789989 3836420 5414270 6610258 7579978 10828540 13220516 15159956 16525645 18949945 23135903 33051290 37899890 46271806 66102580 75799780 92543612 115679515 221443643 231359030 442887286 462718060 885774572 1107218215 1550105501 2214436430 3100211002 4428872860 6200422004 7750527505 15501055010 31002110020