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21314087100 = 22325223682319
BaseRepresentation
bin10011110110011010…
…110010100010111100
32001000102012210212100
4103312122302202330
5322122401241400
613442550505100
71353116515425
oct236632624274
961012183770
1021314087100
119048279119
12416a065190
132018a05877
141062a3264c
1584b2e0100
hex4f66b28bc

21314087100 has 54 divisors (see below), whose sum is σ = 66807824720. Its totient is φ = 5683756320.

The previous prime is 21314087077. The next prime is 21314087149. The reversal of 21314087100 is 178041312.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 11840260 + ... + 11842059.

Almost surely, 221314087100 is an apocalyptic number.

21314087100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21314087100 is an abundant number, since it is smaller than the sum of its proper divisors (45493737620).

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

21314087100 is a wasteful number, since it uses less digits than its factorization.

21314087100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23682339 (or 23682329 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 21314087100 in words is "twenty-one billion, three hundred fourteen million, eighty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 23682319 47364638 71046957 94729276 118411595 142093914 213140871 236823190 284187828 355234785 426281742 473646380 592057975 710469570 852563484 1065704355 1184115950 1420939140 1776173925 2131408710 2368231900 3552347850 4262817420 5328521775 7104695700 10657043550 21314087100