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21150355300 = 22529710092161
BaseRepresentation
bin10011101100101010…
…001100111101100100
32000121000010101001121
4103230222030331210
5321303442332200
613414421303324
71346061024304
oct235452147544
960530111047
1021150355300
118a73907a88
124123264b44
131cc0b09649
141048db1604
1583bc4be1a
hex4eca8cf64

21150355300 has 72 divisors (see below), whose sum is σ = 46436862920. Its totient is φ = 8360755200.

The previous prime is 21150355277. The next prime is 21150355301. The reversal of 21150355300 is 355305112.

It can be written as a sum of positive squares in 12 ways, for example, as 6646488676 + 14503866624 = 81526^2 + 120432^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (21150355301) 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, 9786220 + ... + 9788380.

Almost surely, 221150355300 is an apocalyptic number.

21150355300 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 21150355300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23218431460).

21150355300 is an abundant number, since it is smaller than the sum of its proper divisors (25286507620).

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

21150355300 is a wasteful number, since it uses less digits than its factorization.

21150355300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3281 (or 3274 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The spelling of 21150355300 in words is "twenty-one billion, one hundred fifty million, three hundred fifty-five thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1009 1940 2018 2161 2425 4036 4322 4850 5045 8644 9700 10090 10805 20180 21610 25225 43220 50450 54025 97873 100900 108050 195746 209617 216100 391492 419234 489365 838468 978730 1048085 1957460 2096170 2180449 2446825 4192340 4360898 4893650 5240425 8721796 9787300 10480850 10902245 20961700 21804490 43608980 54511225 109022450 211503553 218044900 423007106 846014212 1057517765 2115035530 4230071060 5287588825 10575177650 21150355300