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107300434675 = 52717674311249
BaseRepresentation
bin110001111101110011…
…0101011001011110011
3101020221221200211221011
41203323212223023303
53224222402402200
6121143152411351
710516001434420
oct1437346531363
9336857624834
10107300434675
1141562330795
1218966846b57
13a170136285
14529c864d47
152bd00eb5ba
hex18fb9ab2f3

107300434675 has 96 divisors (see below), whose sum is σ = 163918080000. Its totient is φ = 68003020800.

The previous prime is 107300434673. The next prime is 107300434727. The reversal of 107300434675 is 576434003701.

It is not a de Polignac number, because 107300434675 - 21 = 107300434673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107300434673) 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 95 ways as a sum of consecutive naturals, for example, 85908451 + ... + 85909699.

It is an arithmetic number, because the mean of its divisors is an integer number (1707480000).

Almost surely, 2107300434675 is an apocalyptic number.

107300434675 is a deficient number, since it is larger than the sum of its proper divisors (56617645325).

107300434675 is a wasteful number, since it uses less digits than its factorization.

107300434675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1776 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 107300434675 in words is "one hundred seven billion, three hundred million, four hundred thirty-four thousand, six hundred seventy-five".

Divisors: 1 5 7 17 25 35 67 85 119 175 335 425 431 469 595 1139 1249 1675 2155 2345 2975 3017 5695 6245 7327 7973 8743 10775 11725 15085 21233 28475 28877 31225 36635 39865 43715 51289 75425 83683 106165 144385 148631 183175 199325 202139 218575 256445 418415 490909 530825 538319 585781 721925 743155 1010695 1282225 1422611 2092075 2454545 2691595 2928905 3436363 3715775 3768233 5053475 7113055 9151423 9958277 12272725 13457975 14644525 17181815 18841165 35565275 36067373 45757115 49791385 64059961 85909075 94205825 180336865 228785575 248956925 252471611 320299805 613145341 901684325 1262358055 1601499025 3065726705 4292017387 6311790275 15328633525 21460086935 107300434675