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102423123234 = 232176122932393
BaseRepresentation
bin101111101100011100…
…1001101010100100010
3100210101001011202102200
41133120321031110202
53134230304420414
6115015202554030
710254066116505
oct1373071152442
9323331152380
10102423123234
113a48a201493
1217a25368916
139873833283
144d58bbd13c
1529e6d2c109
hex17d8e4d522

102423123234 has 96 divisors (see below), whose sum is σ = 239026670064. Its totient is φ = 31578992640.

The previous prime is 102423123193. The next prime is 102423123247. The reversal of 102423123234 is 432321324201.

102423123234 is a `hidden beast` number, since 1 + 0 + 2 + 423 + 1 + 2 + 3 + 234 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4138992225 + 98284131009 = 64335^2 + 313503^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 102423123198 and 102423123207.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42799942 + ... + 42802334.

Almost surely, 2102423123234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102423123234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119513335032).

102423123234 is an abundant number, since it is smaller than the sum of its proper divisors (136603546830).

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

102423123234 is a wasteful number, since it uses less digits than its factorization.

102423123234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4772 (or 4769 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 102423123234 its reverse (432321324201), we get a palindrome (534744447435).

The spelling of 102423123234 in words is "one hundred two billion, four hundred twenty-three million, one hundred twenty-three thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 61 102 122 153 183 306 366 549 1037 1098 2074 2293 2393 3111 4586 4786 6222 6879 7179 9333 13758 14358 18666 20637 21537 38981 40681 41274 43074 77962 81362 116943 122043 139873 145973 233886 244086 279746 291946 350829 366129 419619 437919 701658 732258 839238 875838 1258857 1313757 2377841 2481541 2517714 2627514 4755682 4963082 5487149 7133523 7444623 10974298 14267046 14889246 16461447 21400569 22333869 32922894 42801138 44667738 49384341 93281533 98768682 186563066 279844599 334716089 559689198 669432178 839533797 1004148267 1679067594 2008296534 3012444801 5690173513 6024889602 11380347026 17070520539 34141041078 51211561617 102423123234