Search a number
-
+
10221010120 = 2351012529953
BaseRepresentation
bin10011000010011100…
…00011110011001000
3222101022122010000101
421201032003303020
5131413034310440
64410115415144
7511200103216
oct114116036310
928338563011
1010221010120
114375548202
121b92bb44b4
13c6b71c8a9
146cd653cb6
153ec4b769a
hex261383cc8

10221010120 has 32 divisors (see below), whose sum is σ = 23224977720. Its totient is φ = 4047923200.

The previous prime is 10221010109. The next prime is 10221010127. The reversal of 10221010120 is 2101012201.

It can be written as a sum of positive squares in 4 ways, for example, as 7866625636 + 2354384484 = 88694^2 + 48522^2 .

It is a super-3 number, since 3×102210101203 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10221010097 and 10221010106.

It is not an unprimeable number, because it can be changed into a prime (10221010127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1260937 + ... + 1269016.

Almost surely, 210221010120 is an apocalyptic number.

10221010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221010120 is an abundant number, since it is smaller than the sum of its proper divisors (13003967600).

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

10221010120 is a wasteful number, since it uses less digits than its factorization.

10221010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2530065 (or 2530061 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221010120 its reverse (2101012201), we get a palindrome (12322022321).

The spelling of 10221010120 in words is "ten billion, two hundred twenty-one million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 101 202 404 505 808 1010 2020 4040 2529953 5059906 10119812 12649765 20239624 25299530 50599060 101198120 255525253 511050506 1022101012 1277626265 2044202024 2555252530 5110505060 10221010120