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100252477 = 1327772
BaseRepresentation
bin1011111100110…
…11101100111101
320222122100112201
411332123230331
5201131034402
613540431501
72325063163
oct576335475
9228570481
10100252477
1151654196
12296a8591
1317a016c0
14d459233
158c04687
hex5f9bb3d

100252477 has 6 divisors (see below), whose sum is σ = 108003098. Its totient is φ = 92507424.

The previous prime is 100252459. The next prime is 100252483. The reversal of 100252477 is 774252001.

It can be written as a sum of positive squares in 3 ways, for example, as 3308761 + 96943716 = 1819^2 + 9846^2 .

It is a de Polignac number, because none of the positive numbers 2k-100252477 is a prime.

It is a super-3 number, since 3×1002524773 (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100252577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 34713 + ... + 37489.

Almost surely, 2100252477 is an apocalyptic number.

It is an amenable number.

100252477 is a deficient number, since it is larger than the sum of its proper divisors (7750621).

100252477 is an frugal number, since it uses more digits than its factorization.

100252477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 100252477 is about 10012.6158919635. The cubic root of 100252477 is about 464.5491865447.

The spelling of 100252477 in words is "one hundred million, two hundred fifty-two thousand, four hundred seventy-seven".

Divisors: 1 13 2777 36101 7711729 100252477