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21231505100 = 225213149310939
BaseRepresentation
bin10011110001011111…
…110000111011001100
32000210122211012122202
4103301133300323030
5321440231130400
613430440501032
71351064546531
oct236137607314
960718735582
1021231505100
1190056a4033
12414647a778
132004880190
141055a96d88
15843e2b4d5
hex4f17f0ecc

21231505100 has 72 divisors (see below), whose sum is σ = 49654165680. Its totient is φ = 7833358080.

The previous prime is 21231505081. The next prime is 21231505109. The reversal of 21231505100 is 150513212.

It is a happy number.

It is a super-2 number, since 2×212315051002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21231505109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1935431 + ... + 1946369.

It is an arithmetic number, because the mean of its divisors is an integer number (689641190).

Almost surely, 221231505100 is an apocalyptic number.

21231505100 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 21231505100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24827082840).

21231505100 is an abundant number, since it is smaller than the sum of its proper divisors (28422660580).

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

21231505100 is a wasteful number, since it uses less digits than its factorization.

21231505100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12459 (or 12452 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The spelling of 21231505100 in words is "twenty-one billion, two hundred thirty-one million, five hundred five thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 1493 2986 5972 7465 10939 14930 19409 21878 29860 37325 38818 43756 54695 74650 77636 97045 109390 142207 149300 194090 218780 273475 284414 388180 485225 546950 568828 711035 970450 1093900 1422070 1940900 2844140 3555175 7110350 14220700 16331927 32663854 65327708 81659635 163319270 212315051 326638540 408298175 424630102 816596350 849260204 1061575255 1633192700 2123150510 4246301020 5307876275 10615752550 21231505100