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10100031315521 = 72331611311571613
BaseRepresentation
bin1001001011111001100011…
…0001110101111001000001
31022202112221112210120220012
42102332120301311321001
52310434331004044041
633251520151154305
72061463122450560
oct222763061657101
938675845716805
1010100031315521
113244443408a14
121171554075995
135835762b0954
1426cbb63c1bd7
15127ad1cb63eb
hex92f98c75e41

10100031315521 has 128 divisors (see below), whose sum is σ = 12822639869952. Its totient is φ = 7767467136000.

The previous prime is 10100031315463. The next prime is 10100031315529. The reversal of 10100031315521 is 12551313000101.

10100031315521 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100031315521 - 230 = 10098957573697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10100031315529) 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, 6261642911 + ... + 6261644523.

It is an arithmetic number, because the mean of its divisors is an integer number (100176873984).

Almost surely, 210100031315521 is an apocalyptic number.

It is an amenable number.

10100031315521 is a deficient number, since it is larger than the sum of its proper divisors (2722608554431).

10100031315521 is a wasteful number, since it uses less digits than its factorization.

10100031315521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023.

The product of its (nonzero) digits is 450, while the sum is 23.

Adding to 10100031315521 its reverse (12551313000101), we get a palindrome (22651344315622).

The spelling of 10100031315521 in words is "ten trillion, one hundred billion, thirty-one million, three hundred fifteen thousand, five hundred twenty-one".

Divisors: 1 7 23 31 61 131 157 161 217 427 713 917 1099 1403 1613 1891 3013 3611 4061 4867 4991 7991 9577 9821 11291 13237 20567 21091 25277 28427 34069 37099 43493 50003 55937 67039 93403 98393 111941 143969 183793 211303 220271 247721 253241 259693 296887 304451 350021 473041 637577 653821 688751 783587 1150069 1254587 1286551 1479121 1541897 1734047 1772687 2078209 2263039 3050183 3311287 4463039 4859969 5697583 5824543 6550393 6828401 7850471 8050483 8782109 12889483 14664271 15447701 15841273 21351281 28855501 33174571 34019783 38892197 39883081 40771801 45852751 47798807 54953297 70154209 90226381 102649897 108133907 150659039 180560833 201988507 232221997 272245379 296458109 355297123 399573973 478878731 491079463 763015133 894520531 1028411701 1054613273 1263925831 2023648831 2075206763 2487079861 2797017811 3352151117 5341105931 6261643717 7198881907 9190201379 11014210813 14165541817 23653469123 46543923113 62733113761 64331409653 77099475691 165574283861 325807461791 439131796327 1442861616503 10100031315521