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102232031000 = 23531128573253
BaseRepresentation
bin101111100110110000…
…0001111111100011000
3100202212201121021011112
41133031200033330120
53133332344443000
6114544215115452
710246255632341
oct1371540177430
9322781537145
10102232031000
113a3a1353020
1217991372b88
139843077648
144d3b6790c8
1529d5182235
hex17cd80ff18

102232031000 has 128 divisors (see below), whose sum is σ = 261142090560. Its totient is φ = 37150848000.

The previous prime is 102232030993. The next prime is 102232031039. The reversal of 102232031000 is 130232201.

It is a happy number.

It is a super-2 number, since 2×1022320310002 (a number of 23 digits) contains 22 as substring.

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, 31425374 + ... + 31428626.

Almost surely, 2102232031000 is an apocalyptic number.

102232031000 is a gapful number since it is divisible by the number (10) 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 102232031000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130571045280).

102232031000 is an abundant number, since it is smaller than the sum of its proper divisors (158910059560).

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

102232031000 is a wasteful number, since it uses less digits than its factorization.

102232031000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6142 (or 6128 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 102232031000 its reverse (130232201), we get a palindrome (102362263201).

The spelling of 102232031000 in words is "one hundred two billion, two hundred thirty-two million, thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 2857 3253 5500 5714 6506 11000 11428 13012 14285 16265 22856 26024 28570 31427 32530 35783 57140 62854 65060 71425 71566 81325 114280 125708 130120 142850 143132 157135 162650 178915 251416 285700 286264 314270 325300 357125 357830 406625 571400 628540 650600 714250 715660 785675 813250 894575 1257080 1428500 1431320 1571350 1626500 1789150 2857000 3142700 3253000 3578300 3928375 4472875 6285400 7156600 7856750 8945750 9293821 15713500 17891500 18587642 31427000 35783000 37175284 46469105 74350568 92938210 102232031 185876420 204464062 232345525 371752840 408928124 464691050 511160155 817856248 929382100 1022320310 1161727625 1858764200 2044640620 2323455250 2555800775 4089281240 4646910500 5111601550 9293821000 10223203100 12779003875 20446406200 25558007750 51116015500 102232031000