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21012240222324 = 2232131271511233969
BaseRepresentation
bin1001100011100010010110…
…00111010100100001110100
32202101202021011000122120100
410301301023013110201310
510223231031444103244
6112404520115034100
74266040620654201
oct461611307244164
982352234018510
1021012240222324
1167712718aa14a
12243439089b930
13b955a4412180
14528dd8174ca8
1526689aebeb69
hex131c4b1d4874

21012240222324 has 144 divisors (see below), whose sum is σ = 57688781230080. Its totient is φ = 6410124241920.

The previous prime is 21012240222301. The next prime is 21012240222329. The reversal of 21012240222324 is 42322204221012.

21012240222324 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 22 + 402 + 2 + 232 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21012240222329) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89690812 + ... + 89924780.

It is an arithmetic number, because the mean of its divisors is an integer number (400616536320).

Almost surely, 221012240222324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012240222324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844390615040).

21012240222324 is an abundant number, since it is smaller than the sum of its proper divisors (36676541007756).

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

21012240222324 is a wasteful number, since it uses less digits than its factorization.

21012240222324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235630 (or 235625 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 21012240222324 its reverse (42322204221012), we get a palindrome (63334444443336).

The spelling of 21012240222324 in words is "twenty-one trillion, twelve billion, two hundred forty million, two hundred twenty-two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 127 156 234 254 381 468 508 762 1143 1511 1524 1651 2286 3022 3302 4533 4572 4953 6044 6604 9066 9906 13599 14859 18132 19643 19812 27198 29718 39286 54396 58929 59436 78572 117858 176787 191897 233969 235716 353574 383794 467938 575691 701907 707148 767588 935876 1151382 1403814 1727073 2105721 2302764 2494661 2807628 3041597 3454146 4211442 4989322 6083194 6908292 7483983 8422884 9124791 9978644 12166388 14967966 18249582 22451949 27374373 29714063 29935932 36499164 44903898 54748746 59428126 89142189 89807796 109497492 118856252 178284378 267426567 353527159 356568756 386282819 534853134 707054318 772565638 1060581477 1069706268 1158848457 1414108636 1545131276 2121162954 2317696914 3181744431 3476545371 4242325908 4595853067 4635393828 6363488862 6953090742 9191706134 12726977724 13787559201 13906181484 18383412268 27575118402 41362677603 44897949193 55150236804 82725355206 89795898386 134693847579 165450710412 179591796772 269387695158 404081542737 538775390316 583673339509 808163085474 1167346679018 1616326170948 1751020018527 2334693358036 3502040037054 5253060055581 7004080074108 10506120111162 21012240222324