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100012202031 = 375851813961
BaseRepresentation
bin101110100100100110…
…0010001100000101111
3100120011000121021021210
41131021030101200233
53114311110431111
6113540040325503
710140252455640
oct1351114214057
9316130537253
10100012202031
113946230a725
1217471a73893
13957b1c2691
144baa9196c7
15290534a0a6
hex174931182f

100012202031 has 16 divisors (see below), whose sum is σ = 152425779968. Its totient is φ = 57139992000.

The previous prime is 100012202029. The next prime is 100012202063. The reversal of 100012202031 is 130202210001.

It is not a de Polignac number, because 100012202031 - 21 = 100012202029 is a prime.

It is a super-2 number, since 2×1000122020312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100012201998 and 100012202016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012202021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284110 + ... + 529851.

It is an arithmetic number, because the mean of its divisors is an integer number (9526611248).

Almost surely, 2100012202031 is an apocalyptic number.

100012202031 is a deficient number, since it is larger than the sum of its proper divisors (52413577937).

100012202031 is an equidigital number, since it uses as much as digits as its factorization.

100012202031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819822.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100012202031 its reverse (130202210001), we get a palindrome (230214412032).

The spelling of 100012202031 in words is "one hundred billion, twelve million, two hundred two thousand, thirty-one".

Divisors: 1 3 7 21 5851 17553 40957 122871 813961 2441883 5697727 17093181 4762485811 14287457433 33337400677 100012202031