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102231333232 = 24741113271727
BaseRepresentation
bin101111100110101110…
…1100101100101110000
3100202212200021211000021
41133031131211211300
53133332210130412
6114544152133224
710246246665130
oct1371535454560
9322780254007
10102231333232
113a3a0a16856
1217991097214
139842b91b72
144d3b536ac0
1529d5095607
hex17cd765970

102231333232 has 160 divisors (see below), whose sum is σ = 235128950784. Its totient is φ = 42152140800.

The previous prime is 102231333209. The next prime is 102231333251. The reversal of 102231333232 is 232333132201.

It is a junction number, because it is equal to n+sod(n) for n = 102231333197 and 102231333206.

It is a congruent number.

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, 140620453 + ... + 140621179.

Almost surely, 2102231333232 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 102231333232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117564475392).

102231333232 is an abundant number, since it is smaller than the sum of its proper divisors (132897617552).

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

102231333232 is a wasteful number, since it uses less digits than its factorization.

102231333232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 102231333232 its reverse (232333132201), we get a palindrome (334564465433).

The spelling of 102231333232 in words is "one hundred two billion, two hundred thirty-one million, three hundred thirty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 41 56 82 112 113 164 226 271 287 328 452 542 574 656 727 791 904 1084 1148 1454 1582 1808 1897 2168 2296 2908 3164 3794 4336 4592 4633 5089 5816 6328 7588 9266 10178 11111 11632 12656 15176 18532 20356 22222 29807 30352 30623 32431 37064 40712 44444 59614 61246 64862 74128 77777 81424 82151 88888 119228 122492 129724 155554 164302 177776 197017 208649 214361 238456 244984 259448 311108 328604 394034 417298 428722 476912 489968 518896 575057 622216 657208 788068 834596 857444 1150114 1244432 1255543 1314416 1379119 1576136 1669192 1714888 2300228 2511086 2758238 3152272 3338384 3368191 3429776 4600456 5022172 5516476 6736382 8077697 8788801 9200912 10044344 11032952 13472764 16155394 17577602 20088688 22065904 22262921 23577337 26945528 32310788 35155204 44525842 47154674 53891056 56543879 64621576 70310408 89051684 94309348 113087758 129243152 140620816 155840447 178103368 188618696 226175516 311680894 356206736 377237392 452351032 623361788 904702064 912779761 1246723576 1825559522 2493447152 3651119044 6389458327 7302238088 12778916654 14604476176 25557833308 51115666616 102231333232