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212222212118180 = 2251129737917413313
BaseRepresentation
bin110000010000001111010101…
…100100010001011010100100
31000211102020121212000100202222
4300100033111210101122210
5210304022042300240210
62031205312140251512
762462356153221215
oct6020172544213244
91024366555010688
10212222212118180
1161690a31134510
121b976105540b98
139155612a5a914
143a598776bd40c
1519805c04b2655
hexc103d59116a4

212222212118180 has 384 divisors, whose sum is σ = 516742465075200. Its totient is φ = 72496108339200.

The previous prime is 212222212118179. The next prime is 212222212118263. The reversal of 212222212118180 is 81811212222212.

It is a self number, because there is not a number n which added to its sum of digits gives 212222212118180.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 64057412204 + ... + 64057415516.

It is an arithmetic number, because the mean of its divisors is an integer number (1345683502800).

Almost surely, 2212222212118180 is an apocalyptic number.

212222212118180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212222212118180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258371232537600).

212222212118180 is an abundant number, since it is smaller than the sum of its proper divisors (304520252957020).

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

212222212118180 is a wasteful number, since it uses less digits than its factorization.

212222212118180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5255 (or 5253 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 35.

The spelling of 212222212118180 in words is "two hundred twelve trillion, two hundred twenty-two billion, two hundred twelve million, one hundred eighteen thousand, one hundred eighty".