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100607319 = 333726197
BaseRepresentation
bin1011111111100…
…10010101010111
321000022101022000
411333302111113
5201223413234
613552210343
72331101541
oct577622527
9230271260
10100607319
115187684a
12298399b3
1317ac7077
14d50c691
158c74899
hex5ff2557

100607319 has 8 divisors (see below), whose sum is σ = 149047920. Its totient is φ = 67071528.

The previous prime is 100607281. The next prime is 100607323. The reversal of 100607319 is 913706001.

It is not a de Polignac number, because 100607319 - 27 = 100607191 is a prime.

It is a super-2 number, since 2×1006073192 = 20243665272735522, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3726197 = 100607319 / (1 + 0 + 0 + 6 + 0 + 7 + 3 + 1 + 9).

It is a junction number, because it is equal to n+sod(n) for n = 100607292 and 100607301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100607389) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1863072 + ... + 1863125.

It is an arithmetic number, because the mean of its divisors is an integer number (18630990).

Almost surely, 2100607319 is an apocalyptic number.

100607319 is a deficient number, since it is larger than the sum of its proper divisors (48440601).

100607319 is an equidigital number, since it uses as much as digits as its factorization.

100607319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3726206 (or 3726200 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 100607319 is about 10030.3199849257. The cubic root of 100607319 is about 465.0966292422.

The spelling of 100607319 in words is "one hundred million, six hundred seven thousand, three hundred nineteen".

Divisors: 1 3 9 27 3726197 11178591 33535773 100607319