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31002200124 = 22371274796067
BaseRepresentation
bin11100110111111000…
…000000100000111100
32222000121002221111020
4130313320000200330
51001443030400444
622124152424140
72145156232050
oct346770004074
988017087436
1031002200124
1112169a2a8a5
1260126a8050
132c00bc281c
1417015a9c60
15c16ae2119
hex737e0083c

31002200124 has 96 divisors (see below), whose sum is σ = 83511214080. Its totient is φ = 8768233152.

The previous prime is 31002200123. The next prime is 31002200183. The reversal of 31002200124 is 42100220013.

It is a super-2 number, since 2×310022001242 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31002200123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5106939 + ... + 5113005.

It is an arithmetic number, because the mean of its divisors is an integer number (869908480).

Almost surely, 231002200124 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 31002200124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41755607040).

31002200124 is an abundant number, since it is smaller than the sum of its proper divisors (52509013956).

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

31002200124 is a wasteful number, since it uses less digits than its factorization.

31002200124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6687 (or 6685 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 31002200124 its reverse (42100220013), we get a palindrome (73102420137).

The spelling of 31002200124 in words is "thirty-one billion, two million, two hundred thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 479 508 762 889 958 1437 1524 1778 1916 2667 2874 3353 3556 5334 5748 6067 6706 10059 10668 12134 13412 18201 20118 24268 36402 40236 42469 60833 72804 84938 121666 127407 169876 182499 243332 254814 364998 425831 509628 729996 770509 851662 1277493 1541018 1703324 2311527 2554986 2906093 3082036 4623054 5109972 5393563 5812186 8718279 9246108 10787126 11624372 16180689 17436558 20342651 21574252 32361378 34873116 40685302 61027953 64722756 81370604 122055906 244111812 369073811 738147622 1107221433 1476295244 2214442866 2583516677 4428885732 5167033354 7750550031 10334066708 15501100062 31002200124