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100010357 = 1922941233
BaseRepresentation
bin1011111011000…
…00100101110101
320222012001102022
411331200211311
5201100312412
613531322525
72323034246
oct575404565
9228161368
10100010357
11514a9297
12295b0445
1317948435
14d3d4ccd
158ba7a72
hex5f60975

100010357 has 24 divisors (see below), whose sum is σ = 112334040. Its totient is φ = 88865280.

The previous prime is 100010353. The next prime is 100010359. The reversal of 100010357 is 753010001.

It can be written as a sum of positive squares in 4 ways, for example, as 130321 + 99880036 = 361^2 + 9994^2 .

It is not a de Polignac number, because 100010357 - 22 = 100010353 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429113 + ... + 429345.

It is an arithmetic number, because the mean of its divisors is an integer number (4680585).

Almost surely, 2100010357 is an apocalyptic number.

It is an amenable number.

100010357 is a deficient number, since it is larger than the sum of its proper divisors (12323683).

100010357 is a wasteful number, since it uses less digits than its factorization.

100010357 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 100010357 is about 10000.5178365923. The cubic root of 100010357 is about 464.1749071199.

Adding to 100010357 its reverse (753010001), we get a palindrome (853020358).

The spelling of 100010357 in words is "one hundred million, ten thousand, three hundred fifty-seven".

Divisors: 1 19 29 41 233 361 551 779 1189 4427 6757 9553 10469 14801 22591 84113 128383 181507 277037 429229 2439277 3448633 5263703 100010357