Search a number
-
+
21220010120 = 235899776101
BaseRepresentation
bin10011110000110011…
…111010100010001000
32000202212012012111202
4103300303322202020
5321424310310440
613425350243332
71350565052501
oct236063724210
960685165452
1021220010120
118aaa162751
124142656548
13200238700a
141054343ba8
15842e0a615
hex4f0cfa888

21220010120 has 64 divisors (see below), whose sum is σ = 48338823600. Its totient is φ = 8382668800.

The previous prime is 21220010107. The next prime is 21220010137. The reversal of 21220010120 is 2101002212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12601858564 + 8618151556 = 112258^2 + 92834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3475070 + ... + 3481170.

Almost surely, 221220010120 is an apocalyptic number.

21220010120 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 21220010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24169411800).

21220010120 is an abundant number, since it is smaller than the sum of its proper divisors (27118813480).

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

21220010120 is a wasteful number, since it uses less digits than its factorization.

21220010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7178 (or 7174 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21220010120 its reverse (2101002212), we get a palindrome (23321012332).

The spelling of 21220010120 in words is "twenty-one billion, two hundred twenty million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 977 1780 1954 3560 3908 4885 6101 7816 9770 12202 19540 24404 30505 39080 48808 61010 86953 122020 173906 244040 347812 434765 542989 695624 869530 1085978 1739060 2171956 2714945 3478120 4343912 5429890 5960677 10859780 11921354 21719560 23842708 29803385 47685416 59606770 119213540 238427080 530500253 1061000506 2122001012 2652501265 4244002024 5305002530 10610005060 21220010120