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22121313114321 = 35251362686097
BaseRepresentation
bin1010000011110100001010…
…00000101001100011010001
32220022202222100100002100000
411001322011000221203101
510344413422124124241
6115014220240120213
74442132522003001
oct501720500514321
986282870302300
1022121313114321
117059661608193
122593313006069
13c46052aac695
1456696a5ca001
1528565d249eb6
hex141e850298d1

22121313114321 has 24 divisors (see below), whose sum is σ = 33268470397344. Its totient is φ = 14688786888000.

The previous prime is 22121313114269. The next prime is 22121313114347. The reversal of 22121313114321 is 12341131312122.

22121313114321 is a `hidden beast` number, since 2 + 2 + 1 + 21 + 3 + 1 + 311 + 4 + 321 = 666.

It is not a de Polignac number, because 22121313114321 - 27 = 22121313114193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22121313114371) 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 23 ways as a sum of consecutive naturals, for example, 181282056 + ... + 181404041.

It is an arithmetic number, because the mean of its divisors is an integer number (1386186266556).

Almost surely, 222121313114321 is an apocalyptic number.

It is an amenable number.

22121313114321 is a deficient number, since it is larger than the sum of its proper divisors (11147157283023).

22121313114321 is an equidigital number, since it uses as much as digits as its factorization.

22121313114321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362686363 (or 362686351 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

Adding to 22121313114321 its reverse (12341131312122), we get a palindrome (34462444426443).

The spelling of 22121313114321 in words is "twenty-two trillion, one hundred twenty-one billion, three hundred thirteen million, one hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 27 81 243 251 753 2259 6777 20331 60993 362686097 1088058291 3264174873 9792524619 29377573857 88132721571 91034210347 273102631041 819307893123 2457923679369 7373771038107 22121313114321