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102100132232 = 23732310131597
BaseRepresentation
bin101111100010110100…
…1000110000110001000
3100202112112102010001222
41133011221012012020
53133100113212412
6114523144101212
710243064543000
oct1370551060610
9322475363058
10102100132232
113a33395457a
1217955164808
139821945837
144d27d43000
1529c87cb072
hex17c5a46188

102100132232 has 128 divisors (see below), whose sum is σ = 233333568000. Its totient is φ = 41787212544.

The previous prime is 102100132229. The next prime is 102100132247. The reversal of 102100132232 is 232231001201.

102100132232 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 102100132232.

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, 63931658 + ... + 63933254.

It is an arithmetic number, because the mean of its divisors is an integer number (1822918500).

Almost surely, 2102100132232 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 102100132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116666784000).

102100132232 is an abundant number, since it is smaller than the sum of its proper divisors (131233435768).

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

102100132232 is a wasteful number, since it uses less digits than its factorization.

102100132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660 (or 2642 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 102100132232 its reverse (232231001201), we get a palindrome (334331133433).

The spelling of 102100132232 in words is "one hundred two billion, one hundred million, one hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 23 28 46 49 56 92 98 161 184 196 322 343 392 644 686 1013 1127 1288 1372 1597 2026 2254 2744 3194 4052 4508 6388 7091 7889 8104 9016 11179 12776 14182 15778 22358 23299 28364 31556 36731 44716 46598 49637 56728 63112 73462 78253 89432 93196 99274 146924 156506 163093 186392 198548 257117 293848 313012 326186 347459 397096 514234 547771 626024 652372 694918 1028468 1095542 1141651 1304744 1389836 1617761 1799819 2056936 2191084 2283302 2779672 3235522 3599638 4382168 4566604 6471044 7199276 7991557 9133208 11324327 12598733 12942088 14398552 15983114 22648654 25197466 31966228 37208503 45297308 50394932 63932456 74417006 79270289 90594616 100789864 148834012 158540578 260459521 297668024 317081156 520919042 554892023 634162312 1041838084 1109784046 1823216647 2083676168 2219568092 3646433294 4439136184 7292866588 12762516529 14585733176 25525033058 51050066116 102100132232