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211431010152 = 233291567193861
BaseRepresentation
bin1100010011101001000…
…1010010111101101000
3202012201222202011111210
43010322101102331220
511431002314311102
6241044032153120
721163312635135
oct3047221227550
9665658664453
10211431010152
118173832532a
1234b879987a0
1316c26624acb
14a33a30958c
155776ca036c
hex313a452f68

211431010152 has 64 divisors (see below), whose sum is σ = 547156108800. Its totient is φ = 68002986240.

The previous prime is 211431010139. The next prime is 211431010183. The reversal of 211431010152 is 251010134112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993702 + ... + 1187562.

It is an arithmetic number, because the mean of its divisors is an integer number (8549314200).

Almost surely, 2211431010152 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 211431010152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273578054400).

211431010152 is an abundant number, since it is smaller than the sum of its proper divisors (335725098648).

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

211431010152 is a wasteful number, since it uses less digits than its factorization.

211431010152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195466 (or 195462 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 211431010152 its reverse (251010134112), we get a palindrome (462441144264).

The spelling of 211431010152 in words is "two hundred eleven billion, four hundred thirty-one million, ten thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 232 348 696 1567 3134 4701 6268 9402 12536 18804 37608 45443 90886 136329 181772 193861 272658 363544 387722 545316 581583 775444 1090632 1163166 1550888 2326332 4652664 5621969 11243938 16865907 22487876 33731814 44975752 67463628 134927256 303780187 607560374 911340561 1215120748 1822681122 2430241496 3645362244 7290724488 8809625423 17619250846 26428876269 35238501692 52857752538 70477003384 105715505076 211431010152