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12312002034 = 232684000113
BaseRepresentation
bin10110111011101101…
…00011110111110010
31011210001012111200100
423131312203313302
5200203333031114
65353412533230
7614050201443
oct133566436762
934701174610
1012312002034
1152488933a2
122477321216
1312129a5507
1484b2372ca
154c0d50909
hex2ddda3df2

12312002034 has 12 divisors (see below), whose sum is σ = 26676004446. Its totient is φ = 4104000672.

The previous prime is 12312001993. The next prime is 12312002057. The reversal of 12312002034 is 43020021321.

It can be written as a sum of positive squares in only one way, i.e., 10079156025 + 2232846009 = 100395^2 + 47253^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 684000113 = 12312002034 / (1 + 2 + 3 + 1 + 2 + 0 + 0 + 2 + 0 + 3 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 12312001998 and 12312002016.

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, 342000039 + ... + 342000074.

Almost surely, 212312002034 is an apocalyptic number.

12312002034 is an abundant number, since it is smaller than the sum of its proper divisors (14364002412).

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

12312002034 is a wasteful number, since it uses less digits than its factorization.

12312002034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684000121 (or 684000118 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12312002034 its reverse (43020021321), we get a palindrome (55332023355).

The spelling of 12312002034 in words is "twelve billion, three hundred twelve million, two thousand, thirty-four".

Divisors: 1 2 3 6 9 18 684000113 1368000226 2052000339 4104000678 6156001017 12312002034