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12340010404100 = 2252123400104041
BaseRepresentation
bin1011001110010010000111…
…1011111100100100000100
31121200200201112122020210002
42303210201323330210010
53104134320130412400
642124531133020432
72412351650530331
oct263444173744404
947620645566702
1012340010404100
113a28407195975
1214736b0624718
136b68727a4502
1430938c839988
15165ed2e6ded5
hexb3921efc904

12340010404100 has 18 divisors (see below), whose sum is σ = 26777822577114. Its totient is φ = 4936004161600.

The previous prime is 12340010404081. The next prime is 12340010404153. The reversal of 12340010404100 is 140401004321.

It can be written as a sum of positive squares in 3 ways, for example, as 2523719858884 + 9816290545216 = 1588622^2 + 3133096^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61700051921 + ... + 61700052120.

Almost surely, 212340010404100 is an apocalyptic number.

12340010404100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12340010404100 is an abundant number, since it is smaller than the sum of its proper divisors (14437812173014).

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

12340010404100 is a wasteful number, since it uses less digits than its factorization.

12340010404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123400104055 (or 123400104048 counting only the distinct ones).

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

Adding to 12340010404100 its reverse (140401004321), we get a palindrome (12480411408421).

The spelling of 12340010404100 in words is "twelve trillion, three hundred forty billion, ten million, four hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 123400104041 246800208082 493600416164 617000520205 1234001040410 2468002080820 3085002601025 6170005202050 12340010404100