Search a number
-
+
10220202100 = 2252102202021
BaseRepresentation
bin10011000010010101…
…11110100001110100
3222101021010001121201
421201022332201310
5131412332431400
64410050222244
7511160166403
oct114112764164
928337101551
1010220202100
114375046119
121b92884984
13c6b4c8b84
146cd4c363a
153ec3a806a
hex2612be874

10220202100 has 18 divisors (see below), whose sum is σ = 22177838774. Its totient is φ = 4088080800.

The previous prime is 10220202071. The next prime is 10220202107. The reversal of 10220202100 is 120202201.

It can be written as a sum of positive squares in 3 ways, for example, as 1011112804 + 9209089296 = 31798^2 + 95964^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220202107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51100911 + ... + 51101110.

Almost surely, 210220202100 is an apocalyptic number.

10220202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220202100 is an abundant number, since it is smaller than the sum of its proper divisors (11957636674).

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

10220202100 is a wasteful number, since it uses less digits than its factorization.

10220202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102202035 (or 102202028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220202100 its reverse (120202201), we get a palindrome (10340404301).

The spelling of 10220202100 in words is "ten billion, two hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 102202021 204404042 408808084 511010105 1022020210 2044040420 2555050525 5110101050 10220202100