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100220100100 = 22522707737013
BaseRepresentation
bin101110101010110010…
…1010101111000000100
3100120200111210120211021
41131111211111320010
53120222321200400
6114012424320524
710145355536521
oct1352545257004
9316614716737
10100220100100
11395596a760a
121750b613144
1395b22b38a3
144bca396148
15291871471a
hex1755955e04

100220100100 has 36 divisors (see below), whose sum is σ = 217491524964. Its totient is φ = 40085476480.

The previous prime is 100220100089. The next prime is 100220100151. The reversal of 100220100100 is 1001022001.

It can be written as a sum of positive squares in 6 ways, for example, as 213627456 + 100006472644 = 14616^2 + 316238^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2689194 + ... + 2726206.

It is an arithmetic number, because the mean of its divisors is an integer number (6041431249).

Almost surely, 2100220100100 is an apocalyptic number.

100220100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220100100 is an abundant number, since it is smaller than the sum of its proper divisors (117271424864).

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

100220100100 is a wasteful number, since it uses less digits than its factorization.

100220100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64104 (or 64097 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100220100100 its reverse (1001022001), we get a palindrome (101221122101).

The spelling of 100220100100 in words is "one hundred billion, two hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 27077 37013 54154 74026 108308 135385 148052 185065 270770 370130 541540 676925 740260 925325 1353850 1850650 2707700 3701300 1002201001 2004402002 4008804004 5011005005 10022010010 20044020020 25055025025 50110050050 100220100100