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105422040520 = 2359727170629
BaseRepresentation
bin110001000101110100…
…1001010110111001000
3101002010001011112120021
41202023221022313020
53211401020244040
6120232532110224
710421312362546
oct1421351126710
9332101145507
10105422040520
1140788aa2425
1218521765374
139c30c28a44
1451611c2d96
152b2025a24a
hex188ba4adc8

105422040520 has 32 divisors (see below), whose sum is σ = 239644956600. Its totient is φ = 41734084608.

The previous prime is 105422040509. The next prime is 105422040527. The reversal of 105422040520 is 25040224501.

It can be written as a sum of positive squares in 4 ways, for example, as 72179270244 + 33242770276 = 268662^2 + 182326^2 .

It is a super-2 number, since 2×1054220405202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105422040527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13581435 + ... + 13589194.

Almost surely, 2105422040520 is an apocalyptic number.

105422040520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105422040520 is an abundant number, since it is smaller than the sum of its proper divisors (134222916080).

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

105422040520 is a wasteful number, since it uses less digits than its factorization.

105422040520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27170737 (or 27170733 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The spelling of 105422040520 in words is "one hundred five billion, four hundred twenty-two million, forty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97 194 388 485 776 970 1940 3880 27170629 54341258 108682516 135853145 217365032 271706290 543412580 1086825160 2635551013 5271102026 10542204052 13177755065 21084408104 26355510130 52711020260 105422040520