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211631605140 = 223522715538297
BaseRepresentation
bin1100010100011000111…
…0100000010110010100
3202020020222012110002210
43011012032200112110
511431410142331030
6241115555433420
721201266651154
oct3050616402624
9666228173083
10211631605140
118183058430a
1235022bb5870
1316c59059b77
14a358c04764
1557896c5bb0
hex31463a0594

211631605140 has 48 divisors (see below), whose sum is σ = 595178966592. Its totient is φ = 56186478336.

The previous prime is 211631605139. The next prime is 211631605177. The reversal of 211631605140 is 41506136112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211631605098 and 211631605107.

It is a congruent number.

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, 7755529 + ... + 7782768.

It is an arithmetic number, because the mean of its divisors is an integer number (12399561804).

Almost surely, 2211631605140 is an apocalyptic number.

211631605140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211631605140 is an abundant number, since it is smaller than the sum of its proper divisors (383547361452).

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

211631605140 is a wasteful number, since it uses less digits than its factorization.

211631605140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15538536 (or 15538534 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 211631605140 in words is "two hundred eleven billion, six hundred thirty-one million, six hundred five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 227 454 681 908 1135 1362 2270 2724 3405 4540 6810 13620 15538297 31076594 46614891 62153188 77691485 93229782 155382970 186459564 233074455 310765940 466148910 932297820 3527193419 7054386838 10581580257 14108773676 17635967095 21163160514 35271934190 42326321028 52907901285 70543868380 105815802570 211631605140