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21132211012 = 221121759101431
BaseRepresentation
bin10011101011100100…
…111111001101000100
32000112201222112202221
4103223210333031010
5321234321223022
613412532342124
71345450554433
oct235344771504
960481875687
1021132211012
118a64644a00
124119174944
131cba125a93
14104680b11a
1583a365cc7
hex4eb93f344

21132211012 has 144 divisors (see below), whose sum is σ = 44305470720. Its totient is φ = 8778880000.

The previous prime is 21132210977. The next prime is 21132211073. The reversal of 21132211012 is 21011223112.

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 47 ways as a sum of consecutive naturals, for example, 49030437 + ... + 49030867.

It is an arithmetic number, because the mean of its divisors is an integer number (307676880).

Almost surely, 221132211012 is an apocalyptic number.

21132211012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21132211012 is an abundant number, since it is smaller than the sum of its proper divisors (23173259708).

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

21132211012 is a wasteful number, since it uses less digits than its factorization.

21132211012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 21132211012 its reverse (21011223112), we get a palindrome (42143434124).

It can be divided in two parts, 211 and 32211012, that added together give a palindrome (32211223).

The spelling of 21132211012 in words is "twenty-one billion, one hundred thirty-two million, two hundred eleven thousand, twelve".

Divisors: 1 2 4 11 17 22 34 44 59 68 101 118 121 187 202 236 242 374 404 431 484 649 748 862 1003 1111 1298 1717 1724 2006 2057 2222 2596 3434 4012 4114 4444 4741 5959 6868 7139 7327 8228 9482 11033 11918 12221 14278 14654 18887 18964 22066 23836 24442 25429 28556 29308 37774 43531 44132 48884 50858 52151 65549 75548 80597 87062 101303 101716 104302 121363 131098 161194 174124 202606 207757 208604 242726 262196 279719 322388 405212 415514 432293 478841 485452 559438 721039 740027 831028 864586 886567 957682 1114333 1118876 1442078 1480054 1729172 1773134 1915364 2228666 2568329 2884156 2960108 3076909 3546268 4457332 4755223 5136658 5267251 6153818 8140297 9510446 10273316 10534502 12257663 12307636 16280594 19020892 21069004 24515326 28251619 32561188 43661593 49030652 52307453 56503238 87323186 89543267 104614906 113006476 174646372 179086534 209229812 310767809 358173068 480277523 621535618 960555046 1243071236 1921110092 5283052753 10566105506 21132211012