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212314310142024 = 23319465601557329
BaseRepresentation
bin110000010001100101000111…
…000010010110100001001000
31000211202001100022200201120010
4300101211013002112201020
5210312024201344021044
62031315503024431520
762502126346421316
oct6021450702264110
91024661308621503
10212314310142024
1161716aa2063a02
121b98bb28a785a0
1391611cc42840c
143a600d30b10b6
151982bb0b15bb9
hexc11947096848

212314310142024 has 32 divisors (see below), whose sum is σ = 558721868796000. Its totient is φ = 67046624255232.

The previous prime is 212314310142023. The next prime is 212314310142071. The reversal of 212314310142024 is 420241013413212.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 212314310141982 and 212314310142000.

It is not an unprimeable number, because it can be changed into a prime (212314310142023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 232800778209 + ... + 232800779120.

It is an arithmetic number, because the mean of its divisors is an integer number (17460058399875).

Almost surely, 2212314310142024 is an apocalyptic number.

212314310142024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212314310142024 is an abundant number, since it is smaller than the sum of its proper divisors (346407558653976).

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

212314310142024 is a wasteful number, since it uses less digits than its factorization.

212314310142024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465601557357 (or 465601557353 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

Adding to 212314310142024 its reverse (420241013413212), we get a palindrome (632555323555236).

The spelling of 212314310142024 in words is "two hundred twelve trillion, three hundred fourteen billion, three hundred ten million, one hundred forty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 465601557329 931203114658 1396804671987 1862406229316 2793609343974 3724812458632 5587218687948 8846429589251 11174437375896 17692859178502 26539288767753 35385718357004 53078577535506 70771436714008 106157155071012 212314310142024