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123242140100 = 22521232421401
BaseRepresentation
bin111001011000111001…
…1011101000111000100
3102210002221211101121102
41302301303131013010
54004344441440400
6132341110435232
711622024622622
oct1626163350704
9383087741542
10123242140100
11482a2a7aa52
121ba75662b18
13b810abb871
145d71b80512
1533149299d5
hex1cb1cdd1c4

123242140100 has 18 divisors (see below), whose sum is σ = 267435444234. Its totient is φ = 49296856000.

The previous prime is 123242140061. The next prime is 123242140103. The reversal of 123242140100 is 1041242321.

It can be written as a sum of positive squares in 3 ways, for example, as 27721584004 + 95520556096 = 166498^2 + 309064^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (123242140103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 616210601 + ... + 616210800.

Almost surely, 2123242140100 is an apocalyptic number.

123242140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123242140100 is an abundant number, since it is smaller than the sum of its proper divisors (144193304134).

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

123242140100 is a wasteful number, since it uses less digits than its factorization.

123242140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232421415 (or 1232421408 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 123242140100 its reverse (1041242321), we get a palindrome (124283382421).

The spelling of 123242140100 in words is "one hundred twenty-three billion, two hundred forty-two million, one hundred forty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1232421401 2464842802 4929685604 6162107005 12324214010 24648428020 30810535025 61621070050 123242140100