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102435130512 = 243211134974511
BaseRepresentation
bin101111101100110011…
…1000000110010010000
3100210101212202210022200
41133121213000302100
53134241343134022
6115020312203200
710254303146241
oct1373147006220
9323355683280
10102435130512
113a495a62760
1217a29399500
139876178680
144d5a626cc8
1529e7deebac
hex17d99c0c90

102435130512 has 120 divisors (see below), whose sum is σ = 336794360448. Its totient is φ = 28653177600.

The previous prime is 102435130493. The next prime is 102435130541. The reversal of 102435130512 is 215031534201.

102435130512 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 351 + 305 + 1 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2466664 + ... + 2507847.

Almost surely, 2102435130512 is an apocalyptic number.

102435130512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102435130512 is an abundant number, since it is smaller than the sum of its proper divisors (234359229936).

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

102435130512 is a wasteful number, since it uses less digits than its factorization.

102435130512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4974549 (or 4974540 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 102435130512 its reverse (215031534201), we get a palindrome (317466664713).

The spelling of 102435130512 in words is "one hundred two billion, four hundred thirty-five million, one hundred thirty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 3432 5148 6864 10296 20592 4974511 9949022 14923533 19898044 29847066 39796088 44770599 54719621 59694132 64668643 79592176 89541198 109439242 119388264 129337286 164158863 179082396 194005929 218878484 238776528 258674572 328317726 358164792 388011858 437756968 492476589 517349144 582017787 656635452 711355073 716329584 776023716 875513936 984953178 1034698288 1164035574 1313270904 1422710146 1552047432 1969906356 2134065219 2328071148 2626541808 2845420292 3104094864 3939812712 4268130438 4656142296 5690840584 6402195657 7879625424 8536260876 9312284592 11381681168 12804391314 17072521752 25608782628 34145043504 51217565256 102435130512