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31000202212 = 22721073174663
BaseRepresentation
bin11100110111110000…
…011000101111100100
32222000110100102212111
4130313300120233210
51001442022432322
622124041530404
72145133241200
oct346760305744
988013312774
1031000202212
1112168895831
126011aa3a04
132c00673325
141701209b00
15c1684a177
hex737c18be4

31000202212 has 72 divisors (see below), whose sum is σ = 63911985984. Its totient is φ = 13117301568.

The previous prime is 31000202209. The next prime is 31000202227. The reversal of 31000202212 is 21220200013.

It is a super-2 number, since 2×310002022122 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31000202192 and 31000202201.

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 23 ways as a sum of consecutive naturals, for example, 6645793 + ... + 6650455.

It is an arithmetic number, because the mean of its divisors is an integer number (887666472).

Almost surely, 231000202212 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 31000202212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31955992992).

31000202212 is an abundant number, since it is smaller than the sum of its proper divisors (32911783772).

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

31000202212 is a wasteful number, since it uses less digits than its factorization.

31000202212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105 (or 5096 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 31000202212 its reverse (21220200013), we get a palindrome (52220402225).

The spelling of 31000202212 in words is "thirty-one billion, two hundred two thousand, two hundred twelve".

Divisors: 1 2 4 7 14 28 49 98 107 196 214 317 428 634 749 1268 1498 2219 2996 4438 4663 5243 8876 9326 10486 15533 18652 20972 31066 32641 33919 62132 65282 67838 130564 135676 228487 237433 456974 474866 498941 913948 949732 997882 1478171 1662031 1995764 2956342 3324062 3492587 5912684 6648124 6985174 10347197 13970348 20694394 24448109 41388788 48896218 72430379 97792436 144860758 158164297 289721516 316328594 632657188 1107150079 2214300158 4428600316 7750050553 15500101106 31000202212