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100202220100 = 22521002022201
BaseRepresentation
bin101110101010010000…
…1001000101001000100
3100120122021011012002001
41131110201020221010
53120203232020400
6114010545155044
710145050550323
oct1352441105104
9316567135061
10100202220100
113954a5a5054
121750562ba84
1395ab6933c8
144bc7c600ba
152916d81a6a
hex1754848a44

100202220100 has 18 divisors (see below), whose sum is σ = 217438817834. Its totient is φ = 40080888000.

The previous prime is 100202220071. The next prime is 100202220109. The reversal of 100202220100 is 1022202001.

It can be written as a sum of positive squares in 3 ways, for example, as 22236177924 + 77966042176 = 149118^2 + 279224^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100202220109) 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, 501011001 + ... + 501011200.

Almost surely, 2100202220100 is an apocalyptic number.

100202220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202220100 is an abundant number, since it is smaller than the sum of its proper divisors (117236597734).

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

100202220100 is a wasteful number, since it uses less digits than its factorization.

100202220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002022215 (or 1002022208 counting only the distinct ones).

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

Adding to 100202220100 its reverse (1022202001), we get a palindrome (101224422101).

The spelling of 100202220100 in words is "one hundred billion, two hundred two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1002022201 2004044402 4008088804 5010111005 10020222010 20040444020 25050555025 50101110050 100202220100