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100013202 = 2325556289
BaseRepresentation
bin1011111011000…
…01010010010010
320222012012022200
411331201102102
5201100410302
613531344030
72323045452
oct575412222
9228165280
10100013202
1151500443
12295b2016
1317949813
14d3d5d62
158ba881c
hex5f61492

100013202 has 12 divisors (see below), whose sum is σ = 216695310. Its totient is φ = 33337728.

The previous prime is 100013197. The next prime is 100013213. The reversal of 100013202 is 202310001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 67420521 + 32592681 = 8211^2 + 5709^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2778127 + ... + 2778162.

Almost surely, 2100013202 is an apocalyptic number.

100013202 is an abundant number, since it is smaller than the sum of its proper divisors (116682108).

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

100013202 is a wasteful number, since it uses less digits than its factorization.

100013202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5556297 (or 5556294 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 100013202 is about 10000.6600782148. The cubic root of 100013202 is about 464.1793085477.

Adding to 100013202 its reverse (202310001), we get a palindrome (302323203).

It can be divided in two parts, 10001 and 3202, that added together give a triangular number (13203 = T162).

The spelling of 100013202 in words is "one hundred million, thirteen thousand, two hundred two".

Divisors: 1 2 3 6 9 18 5556289 11112578 16668867 33337734 50006601 100013202