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101062313 = 11139157421
BaseRepresentation
bin1100000011000…
…01011010101001
321001011111102122
412001201122221
5201332443223
614010041025
72335005212
oct601413251
9231144378
10101062313
1152057680
1229a19175
1317c261b1
14d5ca409
158d145c8
hex60616a9

101062313 has 16 divisors (see below), whose sum is σ = 112015680. Its totient is φ = 90417600.

The previous prime is 101062309. The next prime is 101062319. The reversal of 101062313 is 313260101.

It is a cyclic number.

It is not a de Polignac number, because 101062313 - 22 = 101062309 is a prime.

It is a super-2 number, since 2×1010623132 = 20427182217819938, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101062291 and 101062300.

It is not an unprimeable number, because it can be changed into a prime (101062319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 239843 + ... + 240263.

It is an arithmetic number, because the mean of its divisors is an integer number (7000980).

Almost surely, 2101062313 is an apocalyptic number.

It is an amenable number.

101062313 is a deficient number, since it is larger than the sum of its proper divisors (10953367).

101062313 is a wasteful number, since it uses less digits than its factorization.

101062313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728.

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 101062313 is about 10052.9753307168. The cubic root of 101062313 is about 465.7967041054.

The spelling of 101062313 in words is "one hundred one million, sixty-two thousand, three hundred thirteen".

Divisors: 1 11 139 157 421 1529 1727 4631 21823 58519 66097 240053 643709 727067 9187483 101062313