Search a number
-
+
100379825 = 5271344123
BaseRepresentation
bin1011111101110…
…10110010110001
320222212211020022
411332322302301
5201144123300
613543253225
72326133360
oct576726261
9228784208
10100379825
1151730937
122974a215
1317a47660
14d48d7d7
158c2c285
hex5fbacb1

100379825 has 24 divisors (see below), whose sum is σ = 153198528. Its totient is φ = 63535680.

The previous prime is 100379819. The next prime is 100379833. The reversal of 100379825 is 528973001.

It is not a de Polignac number, because 100379825 - 24 = 100379809 is a prime.

It is a super-2 number, since 2×1003798252 = 20152218534061250, which contains 22 as substring.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19787 + ... + 24336.

It is an arithmetic number, because the mean of its divisors is an integer number (6383272).

Almost surely, 2100379825 is an apocalyptic number.

It is an amenable number.

100379825 is a deficient number, since it is larger than the sum of its proper divisors (52818703).

100379825 is a wasteful number, since it uses less digits than its factorization.

100379825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44153 (or 44148 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 100379825 is about 10018.9732507877. The cubic root of 100379825 is about 464.7458047222.

The spelling of 100379825 in words is "one hundred million, three hundred seventy-nine thousand, eight hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 175 325 455 2275 44123 220615 308861 573599 1103075 1544305 2867995 4015193 7721525 14339975 20075965 100379825