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55055010100 = 2252550550101
BaseRepresentation
bin110011010001100010…
…001100100100110100
312021002212201021212011
4303101202030210310
51400223040310400
641143015534004
73656212602346
oct632142144464
9167085637764
1055055010100
1121392132a52
12a80598a304
13526511c26c
142943c31296
1516735658ba
hexcd188c934

55055010100 has 18 divisors (see below), whose sum is σ = 119469372134. Its totient is φ = 22022004000.

The previous prime is 55055010061. The next prime is 55055010107. The reversal of 55055010100 is 101055055.

It can be written as a sum of positive squares in 3 ways, for example, as 5462392464 + 49592617636 = 73908^2 + 222694^2 .

It is a super-2 number, since 2×550550101002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55055010107) 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, 275274951 + ... + 275275150.

Almost surely, 255055010100 is an apocalyptic number.

55055010100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55055010100 is an abundant number, since it is smaller than the sum of its proper divisors (64414362034).

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

55055010100 is a wasteful number, since it uses less digits than its factorization.

55055010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550550115 (or 550550108 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 22.

Adding to 55055010100 its reverse (101055055), we get a palindrome (55156065155).

The spelling of 55055010100 in words is "fifty-five billion, fifty-five million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 550550101 1101100202 2202200404 2752750505 5505501010 11011002020 13763752525 27527505050 55055010100