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212454322400001 = 31121734427859731
BaseRepresentation
bin110000010011100111100000…
…011010101110101100000001
31000212020102202000110101002110
4300103213200122232230001
5210321322423013300001
62031504100205205533
762515214110113213
oct6023474032565401
91025212660411073
10212454322400001
116177041035a700
121b9b30a28608a9
1391714836bc946
143a66bb61b05b3
1519866579593d6
hexc139e06aeb01

212454322400001 has 24 divisors (see below), whose sum is σ = 329681184793632. Its totient is φ = 121186066249600.

The previous prime is 212454322399973. The next prime is 212454322400027. The reversal of 212454322400001 is 100004223454212.

It is a happy number.

It is not a de Polignac number, because 212454322400001 - 215 = 212454322367233 is a prime.

It is not an unprimeable number, because it can be changed into a prime (212454322400051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17213923695 + ... + 17213936036.

It is an arithmetic number, because the mean of its divisors is an integer number (13736716033068).

Almost surely, 2212454322400001 is an apocalyptic number.

It is an amenable number.

212454322400001 is a deficient number, since it is larger than the sum of its proper divisors (117226862393631).

212454322400001 is a wasteful number, since it uses less digits than its factorization.

212454322400001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34427859773 (or 34427859762 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 212454322400001 its reverse (100004223454212), we get a palindrome (312458545854213).

The spelling of 212454322400001 in words is "two hundred twelve trillion, four hundred fifty-four billion, three hundred twenty-two million, four hundred thousand, one".

Divisors: 1 3 11 17 33 51 121 187 363 561 2057 6171 34427859731 103283579193 378706457041 585273615427 1136119371123 1755820846281 4165771027451 6438009769697 12497313082353 19314029309091 70818107466667 212454322400001