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222013311004401 = 3727337395533289
BaseRepresentation
bin110010011110101110000000…
…100010011010111011110001
31002010002021011100221111111020
4302132232000202122323301
5213044431230104120101
62104103301305410053
764522634545453500
oct6236560042327361
91063067140844436
10222013311004401
1164816353206854
1220a97800799929
1396b59c475a537
143cb77044d6837
151aa01207d9136
hexc9eb8089aef1

222013311004401 has 48 divisors (see below), whose sum is σ = 349157681611200. Its totient is φ = 125093387930112.

The previous prime is 222013311004399. The next prime is 222013311004421. The reversal of 222013311004401 is 104400113310222.

222013311004401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 222013311004401 - 21 = 222013311004399 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (222013311004421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37356565 + ... + 42889853.

It is an arithmetic number, because the mean of its divisors is an integer number (7274118366900).

Almost surely, 2222013311004401 is an apocalyptic number.

222013311004401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222013311004401 is a deficient number, since it is larger than the sum of its proper divisors (127144370606799).

222013311004401 is a wasteful number, since it uses less digits than its factorization.

222013311004401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5537118 (or 5537111 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 222013311004401 its reverse (104400113310222), we get a palindrome (326413424314623).

The spelling of 222013311004401 in words is "two hundred twenty-two trillion, thirteen billion, three hundred eleven million, four thousand, four hundred one".

Divisors: 1 3 7 21 49 73 147 219 511 1533 3577 3739 10731 11217 26173 78519 183211 272947 549633 818841 1910629 5533289 5731887 13374403 16599867 38733023 40123209 116199069 271131161 403930097 813393483 1211790291 2827510679 8482532037 19792574753 20688967571 59377724259 62066902713 144822772997 434468318991 1013759410979 1510294632683 3041278232937 4530883898049 10572062428781 31716187286343 74004437001467 222013311004401