Search a number
-
+
100332123301220 = 2255016606165061
BaseRepresentation
bin10110110100000001100100…
…100100011010010101100100
3111011020122202011220100002212
4112310001210210122111210
5101122320142031114340
6553215535141422552
730063520355466206
oct2664014444322544
9434218664810085
10100332123301220
1129a72683a500a8
12b30505510aa58
1343ca3811c56a5
141aac15a392776
15b8ed071c3a65
hex5b406491a564

100332123301220 has 12 divisors (see below), whose sum is σ = 210697458932604. Its totient is φ = 40132849320480.

The previous prime is 100332123301219. The next prime is 100332123301261. The reversal of 100332123301220 is 22103321233001.

100332123301220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 45669996329764 + 54662126971456 = 6757958^2 + 7393384^2 .

It is a super-2 number, since 2×1003321233012202 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2508303082511 + ... + 2508303082550.

It is an arithmetic number, because the mean of its divisors is an integer number (17558121577717).

Almost surely, 2100332123301220 is an apocalyptic number.

100332123301220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100332123301220 is an abundant number, since it is smaller than the sum of its proper divisors (110365335631384).

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

100332123301220 is a wasteful number, since it uses less digits than its factorization.

100332123301220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5016606165070 (or 5016606165068 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 100332123301220 its reverse (22103321233001), we get a palindrome (122435444534221).

The spelling of 100332123301220 in words is "one hundred trillion, three hundred thirty-two billion, one hundred twenty-three million, three hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5016606165061 10033212330122 20066424660244 25083030825305 50166061650610 100332123301220