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221657273332133 = 23791721383318493
BaseRepresentation
bin110010011001100010011011…
…000010011111000110100101
31002001211020011111020202210212
4302121202123002133012211
5213023113043433112013
62103231540130425205
764455131603255252
oct6231423302370645
91061736144222725
10221657273332133
116469935a225a11
1220a3a7b8432205
13968b264062c92
143ca43aac4a429
151a95c336aa6a8
hexc9989b09f1a5

221657273332133 has 32 divisors (see below), whose sum is σ = 234432240215040. Its totient is φ = 209148674042880.

The previous prime is 221657273332129. The next prime is 221657273332139. The reversal of 221657273332133 is 331233372756122.

It is not a de Polignac number, because 221657273332133 - 22 = 221657273332129 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221657273332139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11986000235 + ... + 11986018727.

It is an arithmetic number, because the mean of its divisors is an integer number (7326007506720).

Almost surely, 2221657273332133 is an apocalyptic number.

221657273332133 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221657273332133 is a deficient number, since it is larger than the sum of its proper divisors (12774966882907).

221657273332133 is a wasteful number, since it uses less digits than its factorization.

221657273332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149.

The product of its digits is 5715360, while the sum is 50.

The spelling of 221657273332133 in words is "two hundred twenty-one trillion, six hundred fifty-seven billion, two hundred seventy-three million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 23 79 1721 1817 3833 18493 39583 88159 135959 302807 425339 1460947 3127057 6596593 6964561 31826453 33601781 70883669 151721639 521130847 732008419 1630324387 2514289787 5599809851 11986009481 57828665101 121990794349 128795626573 2805788270027 9637272753571 221657273332133