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21450012100 = 22521131162701
BaseRepresentation
bin10011111110100001…
…010011010111000100
32001100212222111220121
4103332201103113010
5322412200341400
613504244111324
71356360044266
oct237641232704
961325874817
1021450012100
119107a77630
1241a7695544
13203ac1716a
141076ad5b36
158581de21a
hex4fe8535c4

21450012100 has 72 divisors (see below), whose sum is σ = 50942114496. Its totient is φ = 7774800000.

The previous prime is 21450012079. The next prime is 21450012127. The reversal of 21450012100 is 121005412.

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, 310750 + ... + 373450.

It is an arithmetic number, because the mean of its divisors is an integer number (707529368).

Almost surely, 221450012100 is an apocalyptic number.

21450012100 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 21450012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25471057248).

21450012100 is an abundant number, since it is smaller than the sum of its proper divisors (29492102396).

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

21450012100 is a wasteful number, since it uses less digits than its factorization.

21450012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63037 (or 63030 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 21450012100 its reverse (121005412), we get a palindrome (21571017512).

The spelling of 21450012100 in words is "twenty-one billion, four hundred fifty million, twelve thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 311 550 622 1100 1244 1555 3110 3421 6220 6842 7775 13684 15550 17105 31100 34210 62701 68420 85525 125402 171050 250804 313505 342100 627010 689711 1254020 1379422 1567525 2758844 3135050 3448555 6270100 6897110 13794220 17242775 19500011 34485550 39000022 68971100 78000044 97500055 195000110 214500121 390000220 429000242 487500275 858000484 975000550 1072500605 1950001100 2145001210 4290002420 5362503025 10725006050 21450012100