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100380361 = 4322332
BaseRepresentation
bin1011111101110…
…10111011001001
320222212211222011
411332322323021
5201144132421
613543255521
72326135054
oct576727311
9228784864
10100380361
1151731284
122974a5a1
1317a47983
14d48da9b
158c2c4e1
hex5fbaec9

100380361 has 9 divisors (see below), whose sum is σ = 103212039. Its totient is φ = 97625136.

The previous prime is 100380317. The next prime is 100380373. The reversal of 100380361 is 163083001.

The square root of 100380361 is 10019.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 20385225 + 79995136 = 4515^2 + 8944^2 .

It is not a de Polignac number, because 100380361 - 27 = 100380233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100380061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 430701 + ... + 430933.

Almost surely, 2100380361 is an apocalyptic number.

100380361 is the 10019-th square number.

100380361 is the 5010-th centered octagonal number.

It is an amenable number.

100380361 is a deficient number, since it is larger than the sum of its proper divisors (2831678).

100380361 is an frugal number, since it uses more digits than its factorization.

100380361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The cubic root of 100380361 is about 464.7466319246.

The spelling of 100380361 in words is "one hundred million, three hundred eighty thousand, three hundred sixty-one".

Divisors: 1 43 233 1849 10019 54289 430817 2334427 100380361