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100424124020 = 225111672733373
BaseRepresentation
bin101110110000110111…
…1101000011001110100
3100121012201201002000202
41131201233220121310
53121132033432040
6114044553300032
710153413653453
oct1354157503164
9317181632022
10100424124020
1139653888820
1217567a04618
1396156495bc
144c09504b9a
15292b5b6015
hex1761be8674

100424124020 has 48 divisors (see below), whose sum is σ = 231440243328. Its totient is φ = 36299180160.

The previous prime is 100424124013. The next prime is 100424124067. The reversal of 100424124020 is 20421424001.

It is a super-3 number, since 3×1004241240203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100424123983 and 100424124001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1329947 + ... + 1403426.

It is an arithmetic number, because the mean of its divisors is an integer number (4821671736).

Almost surely, 2100424124020 is an apocalyptic number.

100424124020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100424124020 is an abundant number, since it is smaller than the sum of its proper divisors (131016119308).

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

100424124020 is a wasteful number, since it uses less digits than its factorization.

100424124020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733560 (or 2733558 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 100424124020 its reverse (20421424001), we get a palindrome (120845548021).

The spelling of 100424124020 in words is "one hundred billion, four hundred twenty-four million, one hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 167 220 334 668 835 1670 1837 3340 3674 7348 9185 18370 36740 2733373 5466746 10933492 13666865 27333730 30067103 54667460 60134206 120268412 150335515 300671030 456473291 601342060 912946582 1825893164 2282366455 4564732910 5021206201 9129465820 10042412402 20084824804 25106031005 50212062010 100424124020