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101316920 = 2355347791
BaseRepresentation
bin1100000100111…
…11100100111000
321001122102200112
412002133210320
5201414120140
614015323452
72340115415
oct602374470
9231572615
10101316920
11522109a1
1229b20588
1317cb5053
14d65510c
158d64c65
hex609f938

101316920 has 32 divisors (see below), whose sum is σ = 232269120. Its totient is φ = 39761280.

The previous prime is 101316907. The next prime is 101316937. The reversal of 101316920 is 29613101.

It is a happy number.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 21776 + ... + 26015.

It is an arithmetic number, because the mean of its divisors is an integer number (7258410).

Almost surely, 2101316920 is an apocalyptic number.

101316920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101316920 is an abundant number, since it is smaller than the sum of its proper divisors (130952200).

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

101316920 is a wasteful number, since it uses less digits than its factorization.

101316920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47855 (or 47851 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 23.

The square root of 101316920 is about 10065.6306310136. The cubic root of 101316920 is about 466.1875377228.

The spelling of 101316920 in words is "one hundred one million, three hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 53 106 212 265 424 530 1060 2120 47791 95582 191164 238955 382328 477910 955820 1911640 2532923 5065846 10131692 12664615 20263384 25329230 50658460 101316920