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100830925 = 52135572
BaseRepresentation
bin1100000001010…
…00111011001101
321000201202000201
412000220323031
5201303042200
614001053501
72333022466
oct600507315
9230652021
10100830925
1151a09848
1229927291
1317b74a90
14d569d6d
158cbac6a
hex6028ecd

100830925 has 18 divisors (see below), whose sum is σ = 134890238. Its totient is φ = 74326080.

The previous prime is 100830907. The next prime is 100830943. The reversal of 100830925 is 529038001.

It is an interprime number because it is at equal distance from previous prime (100830907) and next prime (100830943).

It can be written as a sum of positive squares in 9 ways, for example, as 88566921 + 12264004 = 9411^2 + 3502^2 .

It is not a de Polignac number, because 100830925 - 27 = 100830797 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100830893 and 100830902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 180747 + ... + 181303.

Almost surely, 2100830925 is an apocalyptic number.

It is an amenable number.

100830925 is a deficient number, since it is larger than the sum of its proper divisors (34059313).

100830925 is an frugal number, since it uses more digits than its factorization.

100830925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 100830925 is about 10041.4603021672. The cubic root of 100830925 is about 465.4409429736.

Adding to 100830925 its reverse (529038001), we get a palindrome (629868926).

The spelling of 100830925 in words is "one hundred million, eight hundred thirty thousand, nine hundred twenty-five".

Divisors: 1 5 13 25 65 325 557 2785 7241 13925 36205 181025 310249 1551245 4033237 7756225 20166185 100830925