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100231311132 = 2232294314471543
BaseRepresentation
bin101110101011001000…
…0000110111100011100
3100120201021220011110200
41131112100012330130
53120233203424012
6114013504503500
710145553041661
oct1352620067434
9316637804420
10100231311132
1139564a64627
121751331ab90
1395b470a734
144bcba73a68
1529196cb3dc
hex1756406f1c

100231311132 has 144 divisors (see below), whose sum is σ = 268553725440. Its totient is φ = 31465977984.

The previous prime is 100231311127. The next prime is 100231311151. The reversal of 100231311132 is 231113132001.

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, 64957953 + ... + 64959495.

Almost surely, 2100231311132 is an apocalyptic number.

100231311132 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 100231311132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134276862720).

100231311132 is an abundant number, since it is smaller than the sum of its proper divisors (168322414308).

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

100231311132 is a wasteful number, since it uses less digits than its factorization.

100231311132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3072 (or 3067 counting only the distinct ones).

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

Adding to 100231311132 its reverse (231113132001), we get a palindrome (331344443133).

The spelling of 100231311132 in words is "one hundred billion, two hundred thirty-one million, three hundred eleven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 29 36 43 58 86 87 116 129 172 174 258 261 348 387 516 522 774 1044 1247 1447 1543 1548 2494 2894 3086 3741 4341 4629 4988 5788 6172 7482 8682 9258 11223 13023 13887 14964 17364 18516 22446 26046 27774 41963 44747 44892 52092 55548 62221 66349 83926 89494 124442 125889 132698 134241 167852 178988 186663 199047 248884 251778 265396 268482 373326 377667 398094 402723 503556 536964 559989 597141 746652 755334 796188 805446 1119978 1194282 1510668 1610892 1804409 1924121 2232721 2239956 2388564 3608818 3848242 4465442 5413227 5772363 6698163 7217636 7696484 8930884 10826454 11544726 13396326 16239681 17317089 20094489 21652908 23089452 26792652 32479362 34634178 40188978 64748909 64958724 69268356 80377956 96007003 129497818 192014006 194246727 258995636 288021009 384028012 388493454 576042018 582740181 776986908 864063027 1152084036 1165480362 1728126054 2330960724 2784203087 3456252108 5568406174 8352609261 11136812348 16705218522 25057827783 33410437044 50115655566 100231311132