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100644214031 = 294380709073
BaseRepresentation
bin101110110111011011…
…1001101010100001111
3100121210001211210202122
41131232313031110033
53122104404322111
6114122454443155
710162025463344
oct1355667152417
9317701753678
10100644214031
1139757042699
12176096634bb
13964c118c8a
144c2a8367cb
152940a8ccdb
hex176edcd50f

100644214031 has 8 divisors (see below), whose sum is σ = 106535977680. Its totient is φ = 94913868672.

The previous prime is 100644214009. The next prime is 100644214061. The reversal of 100644214031 is 130412446001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100644214031 is a prime.

It is a super-2 number, since 2×1006442140312 (a number of 23 digits) 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 (100644214001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40353290 + ... + 40355783.

It is an arithmetic number, because the mean of its divisors is an integer number (13316997210).

Almost surely, 2100644214031 is an apocalyptic number.

100644214031 is a deficient number, since it is larger than the sum of its proper divisors (5891763649).

100644214031 is an equidigital number, since it uses as much as digits as its factorization.

100644214031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80709145.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 100644214031 in words is "one hundred billion, six hundred forty-four million, two hundred fourteen thousand, thirty-one".

Divisors: 1 29 43 1247 80709073 2340563117 3470490139 100644214031