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21011021012212 = 227211101197489791
BaseRepresentation
bin1001100011100000000100…
…11100011001110011110100
32202101122010011212100201021
410301300002130121303310
510223221032334342322
6112404155123110524
74265665454566600
oct461600234316364
982348104770637
1021011021012212
1167707a6672590
1224340b0512444
13b9543b952c7a
14528d20284500
15266828e3c4c7
hex131c02719cf4

21011021012212 has 144 divisors (see below), whose sum is σ = 47362126242816. Its totient is φ = 8063902560000.

The previous prime is 21011021012209. The next prime is 21011021012227. The reversal of 21011021012212 is 21221012011012.

It is a super-2 number, since 2×210110210122122 (a number of 27 digits) contains 22 as substring.

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, 42653037 + ... + 43142827.

It is an arithmetic number, because the mean of its divisors is an integer number (328903654464).

Almost surely, 221011021012212 is an apocalyptic number.

21011021012212 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21011021012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23681063121408).

21011021012212 is an abundant number, since it is smaller than the sum of its proper divisors (26351105230604).

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

21011021012212 is a wasteful number, since it uses less digits than its factorization.

21011021012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490118 (or 490109 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21011021012212 its reverse (21221012011012), we get a palindrome (42232033023224).

The spelling of 21011021012212 in words is "twenty-one trillion, eleven billion, twenty-one million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 101 154 196 197 202 308 394 404 539 707 788 1078 1111 1379 1414 2156 2167 2222 2758 2828 4334 4444 4949 5516 7777 8668 9653 9898 15169 15554 19306 19796 19897 30338 31108 38612 39794 54439 60676 79588 106183 108878 139279 212366 217756 218867 278558 424732 437734 489791 557116 875468 974953 979582 1532069 1949906 1959164 3064138 3428537 3899812 5387701 6128276 6857074 10724483 10775402 13714148 21448966 21550804 23999759 37713907 42897932 47999518 49468891 75427814 95999036 96488827 98937782 150855628 192977654 197875564 263997349 346282237 385955308 527994698 544157801 675421789 692564474 1055989396 1061377097 1088315602 1350843578 1385128948 2122754194 2176631204 2423975659 2701687156 3809104607 4245508388 4727952523 4847951318 7429639679 7618209214 9455905046 9695902636 9745371527 14859279358 15236418428 18911810092 19490743054 26663732249 29718558716 38981486108 52007477753 53327464498 68217600689 104014955506 106654928996 107199086797 136435201378 208029911012 214398173594 272870402756 428796347188 477523204823 750393607579 955046409646 1500787215158 1910092819292 3001574430316 5252755253053 10505510506106 21011021012212