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107530806900 = 223521132585093
BaseRepresentation
bin110010000100101010…
…1011110011001110100
3101021120000011222012210
41210021111132121310
53230210341310100
6121222102213420
710524466530516
oct1441125363164
9337500158183
10107530806900
1141670378860
1218a0ba24270
13a1a8a95aba
1452c12b1bb6
152be5454c50
hex190955e674

107530806900 has 72 divisors (see below), whose sum is σ = 339406339104. Its totient is φ = 26068073600.

The previous prime is 107530806871. The next prime is 107530806919. The reversal of 107530806900 is 9608035701.

It is a super-2 number, since 2×1075308069002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16289247 + ... + 16295846.

It is an arithmetic number, because the mean of its divisors is an integer number (4713976932).

Almost surely, 2107530806900 is an apocalyptic number.

107530806900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107530806900 is an abundant number, since it is smaller than the sum of its proper divisors (231875532204).

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

107530806900 is a wasteful number, since it uses less digits than its factorization.

107530806900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32585121 (or 32585114 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The spelling of 107530806900 in words is "one hundred seven billion, five hundred thirty million, eight hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 32585093 65170186 97755279 130340372 162925465 195510558 325850930 358436023 391021116 488776395 651701860 716872046 814627325 977552790 1075308069 1433744092 1629254650 1792180115 1955105580 2150616138 2443881975 3258509300 3584360230 4301232276 4887763950 5376540345 7168720460 8960900575 9775527900 10753080690 17921801150 21506161380 26882701725 35843602300 53765403450 107530806900