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105050531521 = 136127173419
BaseRepresentation
bin110000111010101111…
…1111110011011000001
3101001011011002221000201
41201311133332123001
53210120414002041
6120132021245201
710406151533125
oct1416537763301
9331134087021
10105050531521
11406083171a1
1218439263801
139ba1c81630
145127b17585
152aec823631
hex18757fe6c1

105050531521 has 48 divisors (see below), whose sum is σ = 118516245120. Its totient is φ = 92527142400.

The previous prime is 105050531507. The next prime is 105050531557. The reversal of 105050531521 is 125135050501.

It is not a de Polignac number, because 105050531521 - 29 = 105050531009 is a prime.

It is a super-2 number, since 2×1050505315212 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105050531521.

It is not an unprimeable number, because it can be changed into a prime (105050531581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250717050 + ... + 250717468.

It is an arithmetic number, because the mean of its divisors is an integer number (2469088440).

Almost surely, 2105050531521 is an apocalyptic number.

It is an amenable number.

105050531521 is a deficient number, since it is larger than the sum of its proper divisors (13465713599).

105050531521 is an equidigital number, since it uses as much as digits as its factorization.

105050531521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105050531521 in words is "one hundred five billion, fifty million, five hundred thirty-one thousand, five hundred twenty-one".

Divisors: 1 13 61 71 73 419 793 923 949 3721 4331 4453 5183 5447 25559 29749 30587 48373 56303 57889 67379 264191 271633 316163 332267 386737 397631 1559099 1814689 1865807 2171677 3434483 3531229 4110119 19285943 20268287 23590957 24255491 28231801 110696029 113814227 132472297 250717259 1439048377 1479584951 1722139861 8080810117 105050531521