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100131233220 = 22325823675923
BaseRepresentation
bin101110101000001001…
…0010101110111000100
3100120110022120200101100
41131100102111313010
53120032043430340
6113555531500100
710143226303434
oct1352022256704
9316408520340
10100131233220
113951351a607
12174a58b7630
139599a6a635
144bbc6622c4
152910a0d830
hex1750495dc4

100131233220 has 72 divisors (see below), whose sum is σ = 304100911296. Its totient is φ = 26669178432.

The previous prime is 100131233219. The next prime is 100131233227. The reversal of 100131233220 is 22332131001.

100131233220 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 312 + 332 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100131233193 and 100131233202.

It is not an unprimeable number, because it can be changed into a prime (100131233227) 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 23 ways as a sum of consecutive naturals, for example, 189822 + ... + 486101.

It is an arithmetic number, because the mean of its divisors is an integer number (4223623768).

Almost surely, 2100131233220 is an apocalyptic number.

100131233220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131233220 is an abundant number, since it is smaller than the sum of its proper divisors (203969678076).

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

100131233220 is a wasteful number, since it uses less digits than its factorization.

100131233220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676761 (or 676756 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100131233220 its reverse (22332131001), we get a palindrome (122463364221).

The spelling of 100131233220 in words is "one hundred billion, one hundred thirty-one million, two hundred thirty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 823 1646 2469 3292 4115 4938 7407 8230 9876 12345 14814 16460 24690 29628 37035 49380 74070 148140 675923 1351846 2027769 2703692 3379615 4055538 6083307 6759230 8111076 10138845 12166614 13518460 20277690 24333228 30416535 40555380 60833070 121666140 556284629 1112569258 1668853887 2225138516 2781423145 3337707774 5006561661 5562846290 6675415548 8344269435 10013123322 11125692580 16688538870 20026246644 25032808305 33377077740 50065616610 100131233220