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212013131310 = 23253773872159
BaseRepresentation
bin1100010101110011110…
…1111010011000101110
3202021020120002222121200
43011130331322120232
511433200330200220
6241221505110330
721213611611311
oct3053475723056
9667216088550
10212013131310
1181a069815a2
123510a9283a6
1316cba1008b6
14a39375a978
1557ace3a890
hex315cf7a62e

212013131310 has 96 divisors (see below), whose sum is σ = 573888257280. Its totient is φ = 54255204864.

The previous prime is 212013131263. The next prime is 212013131371. The reversal of 212013131310 is 13131310212.

212013131310 is a `hidden beast` number, since 21 + 20 + 1 + 313 + 1 + 310 = 666.

It is a super-2 number, since 2×2120131313102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192990 + ... + 679169.

It is an arithmetic number, because the mean of its divisors is an integer number (5978002680).

Almost surely, 2212013131310 is an apocalyptic number.

212013131310 is an abundant number, since it is smaller than the sum of its proper divisors (361875125970).

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

212013131310 is a wasteful number, since it uses less digits than its factorization.

212013131310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872282 (or 872279 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 212013131310 its reverse (13131310212), we get a palindrome (225144441522).

The spelling of 212013131310 in words is "two hundred twelve billion, thirteen million, one hundred thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 73 74 90 111 146 185 219 222 333 365 370 438 555 657 666 730 1095 1110 1314 1665 2190 2701 3285 3330 5402 6570 8103 13505 16206 24309 27010 40515 48618 81030 121545 243090 872159 1744318 2616477 4360795 5232954 7849431 8721590 13082385 15698862 26164770 32269883 39247155 63667607 64539766 78494310 96809649 127335214 161349415 191002821 193619298 290428947 318338035 322698830 382005642 484048245 573008463 580857894 636676070 955014105 968096490 1146016926 1452144735 1910028210 2355701459 2865042315 2904289470 4711402918 5730084630 7067104377 11778507295 14134208754 21201313131 23557014590 35335521885 42402626262 70671043770 106006565655 212013131310