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10032314032 = 24131953211227
BaseRepresentation
bin10010101011111100…
…01111011010110000
3221220011120100122101
421111332033122300
5131021233022112
64335255150144
7503416155646
oct112576173260
927804510571
1010032314032
114288a86024
121b3b975354
13c3b5c27c0
146b2575196
153dab42757
hex255f8f6b0

10032314032 has 160 divisors (see below), whose sum is σ = 22656049920. Its totient is φ = 4264565760.

The previous prime is 10032314029. The next prime is 10032314063. The reversal of 10032314032 is 23041323001.

It is a Harshad number since it is a multiple of its sum of digits (19).

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 31 ways as a sum of consecutive naturals, for example, 44195103 + ... + 44195329.

It is an arithmetic number, because the mean of its divisors is an integer number (141600312).

Almost surely, 210032314032 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 10032314032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328024960).

10032314032 is an abundant number, since it is smaller than the sum of its proper divisors (12623735888).

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

10032314032 is a wasteful number, since it uses less digits than its factorization.

10032314032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 10032314032 its reverse (23041323001), we get a palindrome (33073637033).

The spelling of 10032314032 in words is "ten billion, thirty-two million, three hundred fourteen thousand, thirty-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 53 76 104 106 152 208 211 212 227 247 304 422 424 454 494 689 844 848 908 988 1007 1378 1688 1816 1976 2014 2743 2756 2951 3376 3632 3952 4009 4028 4313 5486 5512 5902 8018 8056 8626 10972 11024 11183 11804 12031 13091 16036 16112 17252 21944 22366 23608 24062 26182 32072 34504 43888 44732 47216 47897 48124 52117 52364 56069 64144 69008 89464 95794 96248 104234 104728 112138 145379 156403 178928 191588 192496 208468 209456 212477 224276 228589 290758 312806 383176 416936 424954 448552 457178 581516 622661 625612 766352 833872 849908 897104 910043 914356 1163032 1245322 1251224 1699816 1820086 1828712 2326064 2490644 2502448 2538541 2762201 2971657 3399632 3640172 3657424 4981288 5077082 5524402 5943314 7280344 9962576 10154164 11048804 11830559 11886628 14560688 20308328 22097608 23661118 23773256 33001033 40616656 44195216 47322236 47546512 48232279 66002066 94644472 96464558 132004132 189288944 192929116 264008264 385858232 528016528 627019627 771716464 1254039254 2508078508 5016157016 10032314032