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221301313011033 = 32383169922743821
BaseRepresentation
bin110010010100010110111010…
…001001100111110101011001
31002000120012101000002212222120
4302110112322021213311121
5213001300042112323113
62102400230353411453
764420330560411453
oct6224267211476531
91060505330085876
10221301313011033
11645713a5977162
12209a1815b69b89
1396638166ac248
143c9107d9772d3
151a8b84d25aa23
hexc945ba267d59

221301313011033 has 32 divisors (see below), whose sum is σ = 311790507033600. Its totient is φ = 139337374946880.

The previous prime is 221301313011013. The next prime is 221301313011049. The reversal of 221301313011033 is 330110313103122.

It is not a de Polignac number, because 221301313011033 - 214 = 221301312994649 is a prime.

It is a super-2 number, since 2×2213013130110332 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221301313010994 and 221301313011012.

It is not an unprimeable number, because it can be changed into a prime (221301313011013) 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, 1641738 + ... + 21102083.

It is an arithmetic number, because the mean of its divisors is an integer number (9743453344800).

Almost surely, 2221301313011033 is an apocalyptic number.

221301313011033 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

221301313011033 is a deficient number, since it is larger than the sum of its proper divisors (90489194022567).

221301313011033 is a wasteful number, since it uses less digits than its factorization.

221301313011033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22745629.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 221301313011033 its reverse (330110313103122), we get a palindrome (551411626114155).

The spelling of 221301313011033 in words is "two hundred twenty-one trillion, three hundred one billion, three hundred thirteen million, eleven thousand, thirty-three".

Divisors: 1 3 23 69 83 249 1699 1909 5097 5727 39077 117231 141017 423051 3243391 9730173 22743821 68231463 523107883 1569323649 1887737143 5663211429 38641751879 43417954289 115925255637 130253862867 888760293217 2666280879651 3207265405957 9621796217871 73767104337011 221301313011033