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102333431032 = 23728318117377
BaseRepresentation
bin101111101001110001…
…1000011110011111000
3100210010210101220212021
41133103203003303320
53134034324243112
6115002240324224
710251626545300
oct1372343036370
9323123356767
10102333431032
113a4436103a8
12179bb313674
13985b08b471
144d4ad12600
1529de011907
hex17d38c3cf8

102333431032 has 96 divisors (see below), whose sum is σ = 227152008720. Its totient is φ = 43086919680.

The previous prime is 102333431027. The next prime is 102333431033. The reversal of 102333431032 is 230134333201.

It is a super-2 number, since 2×1023334310322 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102333430988 and 102333431006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102333431033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5880328 + ... + 5897704.

Almost surely, 2102333431032 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 102333431032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113576004360).

102333431032 is an abundant number, since it is smaller than the sum of its proper divisors (124818577688).

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

102333431032 is a wasteful number, since it uses less digits than its factorization.

102333431032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17661 (or 17650 counting only the distinct ones).

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

Adding to 102333431032 its reverse (230134333201), we get a palindrome (332467764233).

The spelling of 102333431032 in words is "one hundred two billion, three hundred thirty-three million, four hundred thirty-one thousand, thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 166 181 196 332 362 392 581 664 724 1162 1267 1448 2324 2534 4067 4648 5068 8134 8869 10136 15023 16268 17377 17738 30046 32536 34754 35476 60092 69508 70952 105161 120184 121639 139016 210322 243278 420644 486556 736127 841288 851473 973112 1442291 1472254 1702946 2884582 2944508 3145237 3405892 5769164 5889016 6290474 6811784 10096037 11538328 12580948 20192074 22016659 25161896 40384148 44033318 70672259 80768296 88066636 141344518 154116613 176133272 261054671 282689036 308233226 522109342 565378072 616466452 1044218684 1232932904 1827382697 2088437368 3654765394 7309530788 12791678879 14619061576 25583357758 51166715516 102333431032