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230011402024 = 231729103683829
BaseRepresentation
bin1101011000110110111…
…1110111011100101000
3210222200220000212111201
43112031233313130220
512232030404331044
6253355450333544
722421616441625
oct3261557673450
9728626025451
10230011402024
1189602492798
12386b242a2b4
13188c7b77021
14b1bdc5734c
155eb30a17d4
hex358dbf7728

230011402024 has 128 divisors (see below), whose sum is σ = 478247328000. Its totient is φ = 103217393664.

The previous prime is 230011402021. The next prime is 230011402051. The reversal of 230011402024 is 420204110032.

It is a super-2 number, since 2×2300114020242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 230011401992 and 230011402010.

It is not an unprimeable number, because it can be changed into a prime (230011402021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277456042 + ... + 277456870.

It is an arithmetic number, because the mean of its divisors is an integer number (3736307250).

Almost surely, 2230011402024 is an apocalyptic number.

It is an amenable number.

230011402024 is an abundant number, since it is smaller than the sum of its proper divisors (248235925976).

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

230011402024 is a wasteful number, since it uses less digits than its factorization.

230011402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

Adding to 230011402024 its reverse (420204110032), we get a palindrome (650215512056).

The spelling of 230011402024 in words is "two hundred thirty billion, eleven million, four hundred two thousand, twenty-four".

Divisors: 1 2 4 8 17 29 34 58 68 103 116 136 206 232 412 493 683 824 829 986 1366 1658 1751 1972 2732 2987 3316 3502 3944 5464 5974 6632 7004 11611 11948 14008 14093 19807 23222 23896 24041 28186 39614 46444 48082 50779 56372 70349 79228 85387 92888 96164 101558 112744 140698 158456 170774 192328 203116 281396 336719 341548 406232 408697 562792 566207 673438 683096 817394 1132414 1195933 1346876 1451579 1634788 2040121 2264828 2391866 2476223 2693752 2903158 3269576 4080242 4529656 4783732 4952446 5806316 8160484 9567464 9625519 9904892 11612632 16320968 16420003 19251038 19809784 32840006 34682057 38502076 42095791 58319321 65680012 69364114 77004152 84191582 116638642 131360024 138728228 168383164 233277284 277456456 279140051 336766328 466554568 558280102 991428457 1116560204 1691260309 1982856914 2233120408 3382520618 3965713828 6765041236 7931427656 13530082472 28751425253 57502850506 115005701012 230011402024