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213131272356 = 22341741943777
BaseRepresentation
bin1100011001111110011…
…1010010000010100100
3202101010111002102210000
43012133213102002210
511442443101203411
6241524450501300
721253406631612
oct3063747220244
9671114072700
10213131272356
1182430057502
1235381294830
1317137963812
14a45c05c6b2
1558261a6956
hex319f9d20a4

213131272356 has 120 divisors (see below), whose sum is σ = 604331254296. Its totient is φ = 65233797120.

The previous prime is 213131272303. The next prime is 213131272489. The reversal of 213131272356 is 653272131312.

213131272356 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 31 + 272 + 356 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 213627456 + 212917644900 = 14616^2 + 461430^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 213131272356.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 246061 + ... + 697716.

Almost surely, 2213131272356 is an apocalyptic number.

It is an amenable number.

213131272356 is an abundant number, since it is smaller than the sum of its proper divisors (391199981940).

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

213131272356 is a wasteful number, since it uses less digits than its factorization.

213131272356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943851 (or 943840 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The spelling of 213131272356 in words is "two hundred thirteen billion, one hundred thirty-one million, two hundred seventy-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 41 51 54 68 81 82 102 108 123 153 162 164 204 246 306 324 369 459 492 612 697 738 918 1107 1377 1394 1476 1836 2091 2214 2754 2788 3321 4182 4428 5508 6273 6642 8364 12546 13284 18819 25092 37638 56457 75276 112914 225828 943777 1887554 2831331 3775108 5662662 8493993 11325324 16044209 16987986 25481979 32088418 33975972 38694857 48132627 50963958 64176836 76445937 77389714 96265254 101927916 116084571 144397881 152891874 154779428 192530508 232169142 288795762 305783748 348253713 433193643 464338284 577591524 657812569 696507426 866387286 1044761139 1299580929 1315625138 1393014852 1732774572 1973437707 2089522278 2599161858 2631250276 3134283417 3946875414 4179044556 5198323716 5920313121 6268566834 7893750828 11840626242 12537133668 17760939363 23681252484 35521878726 53282818089 71043757452 106565636178 213131272356