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21223201133031 = 3195389151522749
BaseRepresentation
bin1001101001101011010010…
…10111010101000111100111
32210010220210101012021212120
410310311221113111013213
510240210103442224111
6113045445355321023
74320216465061122
oct464655127250747
983126711167776
1021223201133031
11684278882a837
122469247150173
13bac454520811
145352cbc6d3b9
1526c0e6861406
hex134d695d51e7

21223201133031 has 64 divisors (see below), whose sum is σ = 30893270400000. Its totient is φ = 12917312179200.

The previous prime is 21223201132963. The next prime is 21223201133039. The reversal of 21223201133031 is 13033110232212.

It is not a de Polignac number, because 21223201133031 - 233 = 21214611198439 is a prime.

It is a super-2 number, since 2×212232011330312 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21223201132992 and 21223201133010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21223201133039) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40337845 + ... + 40860593.

It is an arithmetic number, because the mean of its divisors is an integer number (482707350000).

Almost surely, 221223201133031 is an apocalyptic number.

21223201133031 is a deficient number, since it is larger than the sum of its proper divisors (9670069266969).

21223201133031 is a wasteful number, since it uses less digits than its factorization.

21223201133031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523064.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 21223201133031 its reverse (13033110232212), we get a palindrome (34256311365243).

The spelling of 21223201133031 in words is "twenty-one trillion, two hundred twenty-three billion, two hundred one million, one hundred thirty-three thousand, thirty-one".

Divisors: 1 3 19 53 57 89 151 159 267 453 1007 1691 2869 3021 4717 5073 8003 8607 13439 14151 24009 40317 89623 152057 255341 268869 456171 522749 712267 766023 1568247 2136801 9932231 13533073 27705697 29796693 40599219 46524661 78935099 83117091 139573983 236805297 526408243 883968559 1499766881 1579224729 2465807033 2651905677 4183560247 4499300643 7025223811 7397421099 12550680741 21075671433 46850333627 79487644693 133479252409 140551000881 238462934079 372336861983 400437757227 1117010585949 7074400377677 21223201133031