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221211121120002 = 233131631933224277
BaseRepresentation
bin110010010011000010111010…
…010010110111001100000010
31002000020120120101011002212000
4302103002322102313030002
5212443310334001320002
62102250553000244430
764410655541113026
oct6223027222671402
91060216511132760
10221211121120002
1164537122a01542
1220988244a70716
139658171bb18a0
143c8a9653a8386
151a8932012761c
hexc930ba4b7302

221211121120002 has 64 divisors (see below), whose sum is σ = 532641953074560. Its totient is φ = 67647383865792.

The previous prime is 221211121119983. The next prime is 221211121120007. The reversal of 221211121120002 is 200021121112122.

221211121120002 is a `hidden beast` number, since 221 + 21 + 11 + 211 + 200 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221211121120007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 966497713 + ... + 966726564.

It is an arithmetic number, because the mean of its divisors is an integer number (8322530516790).

Almost surely, 2221211121120002 is an apocalyptic number.

221211121120002 is an abundant number, since it is smaller than the sum of its proper divisors (311430831954558).

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

221211121120002 is a wasteful number, since it uses less digits than its factorization.

221211121120002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933224464 (or 1933224458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221211121120002 its reverse (200021121112122), we get a palindrome (421232242232124).

The spelling of 221211121120002 in words is "two hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twenty thousand, two".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 163 234 326 351 489 702 978 1467 2119 2934 4238 4401 6357 8802 12714 19071 38142 57213 114426 1933224277 3866448554 5799672831 11599345662 17399018493 25131915601 34798036986 50263831202 52197055479 75395746803 104394110958 150791493606 226187240409 315115557151 452374480818 630231114302 678561721227 945346671453 1357123442454 1890693342906 2836040014359 4096502242963 5672080028718 8193004485926 8508120043077 12289506728889 17016240086154 24579013457778 36868520186667 73737040373334 110605560560001 221211121120002