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212615145140 = 22510630757257
BaseRepresentation
bin1100011000000011011…
…0011010011010110100
3202022210111220110100012
43012000312122122310
511440413434121030
6241401332235352
721234541625546
oct3060066323264
9668714813305
10212615145140
1182195785492
123525846bb58
1317084a52cb8
14a40d6a9696
1557e5c05095
hex3180d9a6b4

212615145140 has 12 divisors (see below), whose sum is σ = 446491804836. Its totient is φ = 85046058048.

The previous prime is 212615145133. The next prime is 212615145173. The reversal of 212615145140 is 41541516212.

It is a happy number.

212615145140 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 60143638564 + 152471506576 = 245242^2 + 390476^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212615145097 and 212615145106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5315378609 + ... + 5315378648.

It is an arithmetic number, because the mean of its divisors is an integer number (37207650403).

Almost surely, 2212615145140 is an apocalyptic number.

212615145140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212615145140 is an abundant number, since it is smaller than the sum of its proper divisors (233876659696).

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

212615145140 is a wasteful number, since it uses less digits than its factorization.

212615145140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10630757266 (or 10630757264 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The spelling of 212615145140 in words is "two hundred twelve billion, six hundred fifteen million, one hundred forty-five thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 10630757257 21261514514 42523029028 53153786285 106307572570 212615145140