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21312003100 = 2252619673613
BaseRepresentation
bin10011110110010010…
…110101110000011100
32001000021021221011011
4103312102311300130
5322121333044400
613442434105004
71353063015553
oct236622656034
961007257134
1021312003100
119047085403
12416941b164
13201845612b
14106264cd9a
1584b02c8ba
hex4f64b5c1c

21312003100 has 72 divisors (see below), whose sum is σ = 47066827808. Its totient is φ = 8374060800.

The previous prime is 21312003019. The next prime is 21312003149. The reversal of 21312003100 is 130021312.

It is a super-2 number, since 2×213120031002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5896894 + ... + 5900506.

Almost surely, 221312003100 is an apocalyptic number.

21312003100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21312003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533413904).

21312003100 is an abundant number, since it is smaller than the sum of its proper divisors (25754824708).

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

21312003100 is a wasteful number, since it uses less digits than its factorization.

21312003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4655 (or 4648 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 21312003100 its reverse (130021312), we get a palindrome (21442024412).

The spelling of 21312003100 in words is "twenty-one billion, three hundred twelve million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 967 1220 1525 1934 3050 3613 3868 4835 6100 7226 9670 14452 18065 19340 24175 36130 48350 58987 72260 90325 96700 117974 180650 220393 235948 294935 361300 440786 589870 881572 1101965 1179740 1474675 2203930 2949350 3493771 4407860 5509825 5898700 6987542 11019650 13975084 17468855 22039300 34937710 69875420 87344275 174688550 213120031 349377100 426240062 852480124 1065600155 2131200310 4262400620 5328000775 10656001550 21312003100