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100834525 = 5211616011
BaseRepresentation
bin1100000001010…
…01110011011101
321000201220222001
412000221303131
5201303201100
614001122301
72333036131
oct600516335
9230656861
10100834525
1151a11520
1229929391
1317b765cc
14d56b3c1
158cbbd6a
hex6029cdd

100834525 has 24 divisors (see below), whose sum is σ = 138660768. Its totient is φ = 72120000.

The previous prime is 100834523. The next prime is 100834529. The reversal of 100834525 is 525438001.

It is not a de Polignac number, because 100834525 - 21 = 100834523 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100834493 and 100834502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100834523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13770 + ... + 19780.

It is an arithmetic number, because the mean of its divisors is an integer number (5777532).

Almost surely, 2100834525 is an apocalyptic number.

It is an amenable number.

100834525 is a deficient number, since it is larger than the sum of its proper divisors (37826243).

100834525 is a wasteful number, since it uses less digits than its factorization.

100834525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6093 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 100834525 is about 10041.6395573631. The cubic root of 100834525 is about 465.4464821719.

The spelling of 100834525 in words is "one hundred million, eight hundred thirty-four thousand, five hundred twenty-five".

Divisors: 1 5 11 25 55 61 275 305 671 1525 3355 6011 16775 30055 66121 150275 330605 366671 1653025 1833355 4033381 9166775 20166905 100834525