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102435154032 = 243176712714753
BaseRepresentation
bin101111101100110011…
…1000110100001110000
3100210101212210222120210
41133121213012201300
53134241344412112
6115020312504120
710254303304641
oct1373147064160
9323355728523
10102435154032
113a495a793a2
1217a293ab040
1398761862a3
144d5a6316c8
1529e7e06b3c
hex17d99c6870

102435154032 has 160 divisors (see below), whose sum is σ = 286630797312. Its totient is φ = 31405473792.

The previous prime is 102435154021. The next prime is 102435154033. The reversal of 102435154032 is 230451534201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102435154033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6935968 + ... + 6950720.

Almost surely, 2102435154032 is an apocalyptic number.

102435154032 is a gapful number since it is divisible by the number (12) 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 102435154032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143315398656).

102435154032 is an abundant number, since it is smaller than the sum of its proper divisors (184195643280).

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

102435154032 is a wasteful number, since it uses less digits than its factorization.

102435154032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14975 (or 14969 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 102435154032 its reverse (230451534201), we get a palindrome (332886688233).

The spelling of 102435154032 in words is "one hundred two billion, four hundred thirty-five million, one hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 67 68 102 127 134 136 201 204 254 268 272 381 402 408 508 536 762 804 816 1016 1072 1139 1524 1608 2032 2159 2278 3048 3216 3417 4318 4556 6096 6477 6834 8509 8636 9112 12954 13668 14753 17018 17272 18224 25527 25908 27336 29506 34036 34544 44259 51054 51816 54672 59012 68072 88518 102108 103632 118024 136144 144653 177036 204216 236048 250801 289306 354072 408432 433959 501602 578612 708144 752403 867918 988451 1003204 1157224 1504806 1735836 1873631 1976902 2006408 2314448 2965353 3009612 3471672 3747262 3953804 4012816 5620893 5930706 6019224 6943344 7494524 7907608 11241786 11861412 12038448 14989048 15815216 16803667 22483572 23722824 29978096 31851727 33607334 44967144 47445648 50411001 63703454 67214668 89934288 95555181 100822002 125533277 127406908 134429336 191110362 201644004 251066554 254813816 268858672 376599831 382220724 403288008 502133108 509627632 753199662 764441448 806576016 1004266216 1506399324 1528882896 2008532432 2134065709 3012798648 4268131418 6025597296 6402197127 8536262836 12804394254 17072525672 25608788508 34145051344 51217577016 102435154032