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102692532330 = 232523219710949
BaseRepresentation
bin101111110100011110…
…0111011000001101010
3100211001211010011020100
41133220330323001222
53140303242013310
6115102025210230
710263550056663
oct1375074730152
9324054104210
10102692532330
113a608291533
1217a9b630976
1398b75b013b
144d828ac36a
152a107e6ec0
hex17e8f3b06a

102692532330 has 144 divisors (see below), whose sum is σ = 280556476200. Its totient is φ = 26058692352.

The previous prime is 102692532329. The next prime is 102692532343. The reversal of 102692532330 is 33235296201.

102692532330 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 92 + 532 + 3 + 30 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 85631731641 + 17060800689 = 292629^2 + 130617^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9373696 + ... + 9384644.

Almost surely, 2102692532330 is an apocalyptic number.

102692532330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102692532330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140278238100).

102692532330 is an abundant number, since it is smaller than the sum of its proper divisors (177863943870).

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

102692532330 is a wasteful number, since it uses less digits than its factorization.

102692532330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11205 (or 11179 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 102692532330 in words is "one hundred two billion, six hundred ninety-two million, five hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 197 207 230 345 394 414 529 591 690 985 1035 1058 1182 1587 1773 1970 2070 2645 2955 3174 3546 4531 4761 5290 5910 7935 8865 9062 9522 10949 13593 15870 17730 21898 22655 23805 27186 32847 40779 45310 47610 54745 65694 67965 81558 98541 104213 109490 135930 164235 197082 203895 208426 251827 312639 328470 407790 492705 503654 521065 625278 755481 937917 985410 1042130 1259135 1510962 1563195 1875834 2156953 2266443 2518270 3126390 3777405 4313906 4532886 4689585 5792021 6470859 7554810 9379170 10784765 11332215 11584042 12941718 17376063 19412577 21569530 22664430 28960105 32354295 34752126 38825154 49609919 52128189 57920210 64708590 86880315 97062885 99219838 104256378 148829757 173760630 194125770 248049595 260640945 297659514 446489271 496099190 521281890 744148785 892978542 1141028137 1488297570 2232446355 2282056274 3423084411 4464892710 5705140685 6846168822 10269253233 11410281370 17115422055 20538506466 34230844110 51346266165 102692532330