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100132221012 = 22371117526081
BaseRepresentation
bin101110101000001011…
…0000111000001010100
3100120110101102212101020
41131100112013001110
53120032322033022
6114000005001140
710143240556335
oct1352026070124
9316411385336
10100132221012
113951403476a
12174a60b31b0
13959a025125
144bbc83c28c
152910b5635c
hex1750587054

100132221012 has 24 divisors (see below), whose sum is σ = 236932581312. Its totient is φ = 32907302400.

The previous prime is 100132220977. The next prime is 100132221031. The reversal of 100132221012 is 210122231001.

It is a junction number, because it is equal to n+sod(n) for n = 100132220982 and 100132221000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 58762189 + ... + 58763892.

It is an arithmetic number, because the mean of its divisors is an integer number (9872190888).

Almost surely, 2100132221012 is an apocalyptic number.

100132221012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100132221012 is an abundant number, since it is smaller than the sum of its proper divisors (136800360300).

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

100132221012 is a wasteful number, since it uses less digits than its factorization.

100132221012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117526159 (or 117526157 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 100132221012 its reverse (210122231001), we get a palindrome (310254452013).

The spelling of 100132221012 in words is "one hundred billion, one hundred thirty-two million, two hundred twenty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 71 142 213 284 426 852 117526081 235052162 352578243 470104324 705156486 1410312972 8344351751 16688703502 25033055253 33377407004 50066110506 100132221012