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120200220100 = 22522414987561
BaseRepresentation
bin110111111110001111…
…1011100110111000100
3102111020221220211211201
41233330133130313010
53432132224020400
6131115203512244
711453450004322
oct1577437346704
9374227824751
10120200220100
1146a81988484
121b366988684
13b44781a8bc
145b63b84d12
1531d785506a
hex1bfc7dcdc4

120200220100 has 36 divisors (see below), whose sum is σ = 261916830868. Its totient is φ = 47880576000.

The previous prime is 120200220083. The next prime is 120200220103. The reversal of 120200220100 is 1022002021.

It can be written as a sum of positive squares in 6 ways, for example, as 9945673984 + 110254546116 = 99728^2 + 332046^2 .

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 (120200220103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2469681 + ... + 2517880.

Almost surely, 2120200220100 is an apocalyptic number.

120200220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200220100 is an abundant number, since it is smaller than the sum of its proper divisors (141716610768).

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

120200220100 is a wasteful number, since it uses less digits than its factorization.

120200220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987816 (or 4987809 counting only the distinct ones).

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

Adding to 120200220100 its reverse (1022002021), we get a palindrome (121222222121).

The spelling of 120200220100 in words is "one hundred twenty billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 241 482 964 1205 2410 4820 6025 12050 24100 4987561 9975122 19950244 24937805 49875610 99751220 124689025 249378050 498756100 1202002201 2404004402 4808008804 6010011005 12020022010 24040044020 30050055025 60100110050 120200220100