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105521131532 = 22232939550649
BaseRepresentation
bin110001001000110001…
…1001011000000001100
3101002100221121212212202
41202101203023000030
53212101402202112
6120250432021032
710423624550615
oct1422143130014
9332327555782
10105521131532
1140829a22a23
121854a991778
139c4861188b
145170418c0c
152b28cd06c2
hex18918cb00c

105521131532 has 24 divisors (see below), whose sum is σ = 199335276000. Its totient is φ = 48726398336.

The previous prime is 105521131531. The next prime is 105521131553. The reversal of 105521131532 is 235131125501.

It is a super-2 number, since 2×1055211315322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 105521131495 and 105521131504.

It is not an unprimeable number, because it can be changed into a prime (105521131531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19772657 + ... + 19777992.

It is an arithmetic number, because the mean of its divisors is an integer number (8305636500).

Almost surely, 2105521131532 is an apocalyptic number.

It is an amenable number.

105521131532 is a deficient number, since it is larger than the sum of its proper divisors (93814144468).

105521131532 is a wasteful number, since it uses less digits than its factorization.

105521131532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39550705 (or 39550703 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105521131532 in words is "one hundred five billion, five hundred twenty-one million, one hundred thirty-one thousand, five hundred thirty-two".

Divisors: 1 2 4 23 29 46 58 92 116 667 1334 2668 39550649 79101298 158202596 909664927 1146968821 1819329854 2293937642 3638659708 4587875284 26380282883 52760565766 105521131532