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100231002324 = 2232102111812309
BaseRepresentation
bin101110101011000111…
…0111011100011010100
3100120201021022110212100
41131112032323203110
53120233114033244
6114013454122100
710145550314445
oct1352616734324
9316637273770
10100231002324
1139564873612
12175131b0330
1395b462cccb
144bcb9d32cc
152919669b69
hex17563bb8d4

100231002324 has 72 divisors (see below), whose sum is σ = 253934520840. Its totient is φ = 33334905600.

The previous prime is 100231002323. The next prime is 100231002331. The reversal of 100231002324 is 423200132001.

It can be written as a sum of positive squares in 4 ways, for example, as 57931676100 + 42299326224 = 240690^2 + 205668^2 .

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 = 100231002297 and 100231002306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100231002323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43407682 + ... + 43409990.

It is an arithmetic number, because the mean of its divisors is an integer number (3526868345).

Almost surely, 2100231002324 is an apocalyptic number.

It is an amenable number.

100231002324 is an abundant number, since it is smaller than the sum of its proper divisors (153703518516).

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

100231002324 is a wasteful number, since it uses less digits than its factorization.

100231002324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4521 (or 4516 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100231002324 its reverse (423200132001), we get a palindrome (523431134325).

The spelling of 100231002324 in words is "one hundred billion, two hundred thirty-one million, two thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1021 1181 2042 2309 2362 3063 3543 4084 4618 4724 6126 6927 7086 9189 9236 10629 12252 13854 14172 18378 20781 21258 27708 36756 41562 42516 83124 1205801 2357489 2411602 2726929 3617403 4714978 4823204 5453858 7072467 7234806 8180787 9429956 10852209 10907716 14144934 14469612 16361574 21217401 21704418 24542361 28289868 32723148 42434802 43408836 49084722 84869604 98169444 2784194509 5568389018 8352583527 11136778036 16705167054 25057750581 33410334108 50115501162 100231002324