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2231031102132 = 2237131677299479
BaseRepresentation
bin100000011101110011110…
…100001111101010110100
321220021200101121212001110
4200131303310033222310
5243023122430232012
64424531015155020
7320121013320420
oct40356364175264
97807611555043
102231031102132
117901a1992338
1230047b975a70
13132501755331
1479da7d01b80
153d07a85273c
hex20773d0fab4

2231031102132 has 96 divisors (see below), whose sum is σ = 6003706705920. Its totient is φ = 631635039360.

The previous prime is 2231031102073. The next prime is 2231031102149. The reversal of 2231031102132 is 2312011301322.

It is a super-3 number, since 3×22310311021323 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 2231031102099 and 2231031102108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7299969 + ... + 7599447.

It is an arithmetic number, because the mean of its divisors is an integer number (62538611520).

Almost surely, 22231031102132 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 2231031102132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3001853352960).

2231031102132 is an abundant number, since it is smaller than the sum of its proper divisors (3772675603788).

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

2231031102132 is a wasteful number, since it uses less digits than its factorization.

2231031102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300301 (or 300299 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2231031102132 its reverse (2312011301322), we get a palindrome (4543042403454).

The spelling of 2231031102132 in words is "two trillion, two hundred thirty-one billion, thirty-one million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 131 262 393 524 677 786 917 1354 1572 1834 2031 2708 2751 3668 4062 4739 5502 8124 9478 11004 14217 18956 28434 56868 88687 177374 266061 299479 354748 532122 598958 620809 898437 1064244 1197916 1241618 1796874 1862427 2096353 2483236 3593748 3724854 4192706 6289059 7449708 8385412 12578118 25156236 39231749 78463498 117695247 156926996 202747283 235390494 274622243 405494566 470780988 549244486 608241849 810989132 823866729 1098488972 1216483698 1419230981 1647733458 2432967396 2838461962 3295466916 4257692943 5676923924 8515385886 17030771772 26559894073 53119788146 79679682219 106239576292 159359364438 185919258511 318718728876 371838517022 557757775533 743677034044 1115515551066 2231031102132