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21320113323201 = 3711315388763331
BaseRepresentation
bin1001101100011111110011…
…10001111111110011000001
32210111011221100120122100020
410312033321301333303001
510243302043002320301
6113202154100044053
74330220166102450
oct466177161776301
983434840518306
1021320113323201
11687a89a17a690
122483b92993629
13bb862a3b2944
14539c82b8ab97
1526e8b995e436
hex1363f9c7fcc1

21320113323201 has 128 divisors (see below), whose sum is σ = 37317378834432. Its totient is φ = 10503863136000.

The previous prime is 21320113323109. The next prime is 21320113323233. The reversal of 21320113323201 is 10232331102312.

It is not a de Polignac number, because 21320113323201 - 29 = 21320113322689 is a prime.

It is a super-2 number, since 2×213201133232012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21320113323701) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 336614106 + ... + 336677436.

It is an arithmetic number, because the mean of its divisors is an integer number (291542022144).

Almost surely, 221320113323201 is an apocalyptic number.

21320113323201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21320113323201 is a deficient number, since it is larger than the sum of its proper divisors (15997265511231).

21320113323201 is a wasteful number, since it uses less digits than its factorization.

21320113323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64323.

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

Adding to 21320113323201 its reverse (10232331102312), we get a palindrome (31552444425513).

The spelling of 21320113323201 in words is "twenty-one trillion, three hundred twenty billion, one hundred thirteen million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 7 11 21 31 33 53 77 93 159 217 231 341 371 583 651 887 1023 1113 1643 1749 2387 2661 4081 4929 6209 7161 9757 11501 12243 18073 18627 27497 29271 34503 47011 54219 63331 68299 82491 126511 141033 189993 192479 204897 302467 329077 379533 443317 517121 577437 696641 907401 987231 1329951 1457341 1551363 1963261 2089923 2117269 3356543 3619847 4372023 4876487 5889783 6351807 10069629 10201387 10859541 13742827 14629461 16030751 21595871 23495801 30604161 36921973 41228481 48092253 56174597 64787613 70487403 104052833 110765919 112215257 151171097 168523791 258453811 312158499 336645771 393222179 453513291 617920567 728369831 775361433 1144581163 1179666537 1741412507 1853761701 2185109493 2977253641 3433743489 4325443969 5224237521 8012068141 8931760923 12189887549 12976331907 19155537577 20840775487 24036204423 32749790051 36569662647 57466612731 62522326461 92294862871 98249370153 134088763039 229248530357 276884588613 402266289117 646064040097 687745591071 1015243491581 1938192120291 3045730474743 7106704441067 21320113323201