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134307122600 = 23527729713147
BaseRepresentation
bin111110100010101010…
…1000000110110101000
3110211200002112202002002
41331011111000312220
54200030110410400
6141411055430132
712463153464050
oct1750525006650
9424602482062
10134307122600
1151a60962092
1222043225348
13c885318ca1
146701528560
153761052ed5
hex1f45540da8

134307122600 has 96 divisors (see below), whose sum is σ = 356949266880. Its totient is φ = 46038343680.

The previous prime is 134307122539. The next prime is 134307122603. The reversal of 134307122600 is 6221703431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134307122603) by changing a digit.

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, 10209227 + ... + 10222373.

It is an arithmetic number, because the mean of its divisors is an integer number (3718221530).

Almost surely, 2134307122600 is an apocalyptic number.

134307122600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134307122600 is an abundant number, since it is smaller than the sum of its proper divisors (222642144280).

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

134307122600 is a wasteful number, since it uses less digits than its factorization.

134307122600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20467 (or 20458 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The spelling of 134307122600 in words is "one hundred thirty-four billion, three hundred seven million, one hundred twenty-two thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 7297 13147 14594 26294 29188 36485 51079 52588 58376 65735 72970 92029 102158 105176 131470 145940 182425 184058 204316 255395 262940 291880 328675 364850 368116 408632 460145 510790 525880 657350 729700 736232 920290 1021580 1276975 1314700 1459400 1840580 2043160 2300725 2553950 2629400 3681160 4601450 5107900 9202900 10215800 18405800 95933659 191867318 383734636 479668295 671535613 767469272 959336590 1343071226 1918673180 2398341475 2686142452 3357678065 3837346360 4796682950 5372284904 6715356130 9593365900 13430712260 16788390325 19186731800 26861424520 33576780650 67153561300 134307122600