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10243241232 = 2437411037219
BaseRepresentation
bin10011000101000101…
…10111010100010000
3222102212110120100220
421202202313110100
5131434232204412
64412232113040
7511560054030
oct114242672420
928385416326
1010243241232
114387051824
121b9a535780
13c732046b3
146d259d8c0
153ee40968c
hex2628b7510

10243241232 has 160 divisors (see below), whose sum is σ = 31284664320. Its totient is φ = 2827146240.

The previous prime is 10243241201. The next prime is 10243241249. The reversal of 10243241232 is 23214234201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1415319 + ... + 1422537.

It is an arithmetic number, because the mean of its divisors is an integer number (195529152).

Almost surely, 210243241232 is an apocalyptic number.

10243241232 is a gapful number since it is divisible by the number (12) 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 10243241232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15642332160).

10243241232 is an abundant number, since it is smaller than the sum of its proper divisors (21041423088).

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

10243241232 is a wasteful number, since it uses less digits than its factorization.

10243241232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7381 (or 7375 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 10243241232 its reverse (23214234201), we get a palindrome (33457475433).

The spelling of 10243241232 in words is "ten billion, two hundred forty-three million, two hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 103 112 123 164 168 206 246 287 309 328 336 412 492 574 618 656 721 824 861 984 1148 1236 1442 1648 1722 1968 2163 2296 2472 2884 3444 4223 4326 4592 4944 5768 6888 7219 8446 8652 11536 12669 13776 14438 16892 17304 21657 25338 28876 29561 33784 34608 43314 50533 50676 57752 59122 67568 86628 88683 101066 101352 115504 118244 151599 173256 177366 202132 202704 236488 295979 303198 346512 354732 404264 472976 591958 606396 709464 743557 808528 887937 1183916 1212792 1418928 1487114 1775874 2071853 2230671 2367832 2425584 2974228 3551748 4143706 4461342 4735664 5204899 5948456 6215559 7103496 8287412 8922684 10409798 11896912 12431118 14206992 15614697 16574824 17845368 20819596 24862236 30485837 31229394 33149648 35690736 41639192 49724472 60971674 62458788 83278384 91457511 99448944 121943348 124917576 182915022 213400859 243886696 249835152 365830044 426801718 487773392 640202577 731660088 853603436 1280405154 1463320176 1707206872 2560810308 3414413744 5121620616 10243241232