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100316381 = 1124173277
BaseRepresentation
bin1011111101010…
…11010011011101
320222202121012112
411332223103131
5201140111011
613542043405
72325450404
oct576532335
9228677175
10100316381
1151698200
1229719565
1317a24809
14d47463b
158c1858b
hex5fab4dd

100316381 has 24 divisors (see below), whose sum is σ = 114915192. Its totient is φ = 87436800.

The previous prime is 100316357. The next prime is 100316383. The reversal of 100316381 is 183613001.

It can be written as a sum of positive squares in 4 ways, for example, as 116281 + 100200100 = 341^2 + 10010^2 .

It is not a de Polignac number, because 100316381 - 210 = 100315357 is a prime.

It is a super-2 number, since 2×1003163812 = 20126752593874322, which contains 22 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 (100316383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 362015 + ... + 362291.

It is an arithmetic number, because the mean of its divisors is an integer number (4788133).

Almost surely, 2100316381 is an apocalyptic number.

100316381 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100316381 is a deficient number, since it is larger than the sum of its proper divisors (14598811).

100316381 is a wasteful number, since it uses less digits than its factorization.

100316381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 100316381 is about 10015.8065576368. The cubic root of 100316381 is about 464.6478715403.

Adding to 100316381 its reverse (183613001), we get a palindrome (283929382).

The spelling of 100316381 in words is "one hundred million, three hundred sixteen thousand, three hundred eighty-one".

Divisors: 1 11 41 73 121 277 451 803 2993 3047 4961 8833 11357 20221 32923 33517 124927 222431 362153 829061 1374197 2446741 9119671 100316381