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105522031530 = 2345130274113
BaseRepresentation
bin110001001000110011…
…0100110101110101010
3101002101000022121110000
41202101212212232222
53212102120002110
6120250503203430
710423635316536
oct1422146465652
9332330277400
10105522031530
114082a488123
121854b146576
139c48868416
1451705b0bc6
152b28e0c1c0
hex18919a6baa

105522031530 has 40 divisors (see below), whose sum is σ = 283737020292. Its totient is φ = 28139208192.

The previous prime is 105522031523. The next prime is 105522031541. The reversal of 105522031530 is 35130225501.

It is a happy number.

105522031530 is a `hidden beast` number, since 10 + 552 + 20 + 31 + 53 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105519076569 + 2954961 = 324837^2 + 1719^2 .

It is a super-2 number, since 2×1055220315302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105522031494 and 105522031503.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 65136247 + ... + 65137866.

Almost surely, 2105522031530 is an apocalyptic number.

105522031530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105522031530 is an abundant number, since it is smaller than the sum of its proper divisors (178214988762).

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

105522031530 is a wasteful number, since it uses less digits than its factorization.

105522031530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130274132 (or 130274123 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 105522031530 in words is "one hundred five billion, five hundred twenty-two million, thirty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 130274113 260548226 390822339 651370565 781644678 1172467017 1302741130 1954111695 2344934034 3517401051 3908223390 5862335085 7034802102 10552203153 11724670170 17587005255 21104406306 35174010510 52761015765 105522031530