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100420405124 = 22137326454269
BaseRepresentation
bin101110110000110000…
…1011100011110000100
3100121012110201010122212
41131201201130132010
53121130110430444
6114044341442552
710153340234264
oct1354141343604
9317173633585
10100420405124
1139651778756
1217566710458
139614946980
144c08c177a4
15292b0ce19e
hex176185c784

100420405124 has 24 divisors (see below), whose sum is σ = 191846366040. Its totient is φ = 45712975104.

The previous prime is 100420405123. The next prime is 100420405153. The reversal of 100420405124 is 421504024001.

It can be written as a sum of positive squares in 4 ways, for example, as 30004475524 + 70415929600 = 173218^2 + 265360^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100420405124.

It is not an unprimeable number, because it can be changed into a prime (100420405123) 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 7 ways as a sum of consecutive naturals, for example, 13223339 + ... + 13230930.

It is an arithmetic number, because the mean of its divisors is an integer number (7993598585).

Almost surely, 2100420405124 is an apocalyptic number.

It is an amenable number.

100420405124 is a deficient number, since it is larger than the sum of its proper divisors (91425960916).

100420405124 is a wasteful number, since it uses less digits than its factorization.

100420405124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26454359 (or 26454357 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

Adding to 100420405124 its reverse (421504024001), we get a palindrome (521924429125).

The spelling of 100420405124 in words is "one hundred billion, four hundred twenty million, four hundred five thousand, one hundred twenty-four".

Divisors: 1 2 4 13 26 52 73 146 292 949 1898 3796 26454269 52908538 105817076 343905497 687810994 1375621988 1931161637 3862323274 7724646548 25105101281 50210202562 100420405124