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21325533552312 = 23311175663383903
BaseRepresentation
bin1001101100101001111001…
…10110100001111010111000
32210111200221002200210212120
410312110330312201322320
510243344143042133222
6113204452002241240
74330501413223623
oct466247466417270
983450832623776
1021325533552312
116882120809a80
122485046056220
13bb8cb23165c2
1453a23899adba
1526ead572315c
hex13653cda1eb8

21325533552312 has 128 divisors (see below), whose sum is σ = 61583576002560. Its totient is φ = 6081968721920.

The previous prime is 21325533552299. The next prime is 21325533552343.

21325533552312 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 254126953 + ... + 254210855.

It is an arithmetic number, because the mean of its divisors is an integer number (481121687520).

Almost surely, 221325533552312 is an apocalyptic number.

21325533552312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21325533552312 is an abundant number, since it is smaller than the sum of its proper divisors (40258042450248).

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

21325533552312 is a wasteful number, since it uses less digits than its factorization.

21325533552312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140573 (or 140569 counting only the distinct ones).

The product of its digits is 810000, while the sum is 42.

It can be divided in two parts, 2132553 and 3552312, that added together give a palindrome (5684865).

The spelling of 21325533552312 in words is "twenty-one trillion, three hundred twenty-five billion, five hundred thirty-three million, five hundred fifty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 132 136 187 204 264 374 408 561 748 1122 1496 2244 4488 56633 83903 113266 167806 169899 226532 251709 335612 339798 453064 503418 622963 671224 679596 922933 962761 1006836 1245926 1359192 1426351 1845866 1868889 1925522 2013672 2491852 2768799 2852702 2888283 3691732 3737778 3851044 4279053 4983704 5537598 5705404 5776566 7383464 7475556 7702088 8558106 10590371 11075196 11410808 11553132 14951112 15689861 17116212 21180742 22150392 23106264 31379722 31771113 34232424 42361484 47069583 62759444 63542226 84722968 94139166 125518888 127084452 188278332 254168904 376556664 4751678599 9503357198 14255035797 19006714396 28510071594 38013428792 52268464589 57020143188 80778536183 104536929178 114040286376 156805393767 161557072366 209073858356 242335608549 313610787534 323114144732 418147716712 484671217098 627221575068 646228289464 888563898013 969342434196 1254443150136 1777127796026 1938684868392 2665691694039 3554255592052 5331383388078 7108511184104 10662766776156 21325533552312