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105738383320 = 2356161017103
BaseRepresentation
bin110001001111001111…
…1111010111111011000
3101002221002102102022021
41202132133322333120
53213023011231240
6120324152304224
710432203300013
oct1423637727730
9332832372267
10105738383320
1140930619459
12185ab6a2074
139c8162942b
14519120c37a
152b3cde654a
hex189e7fafd8

105738383320 has 64 divisors (see below), whose sum is σ = 241885232640. Its totient is φ = 41589312000.

The previous prime is 105738383297. The next prime is 105738383323. The reversal of 105738383320 is 23383837501.

It is a super-2 number, since 2×1057383833202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105738383323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14882889 + ... + 14889991.

It is an arithmetic number, because the mean of its divisors is an integer number (3779456760).

Almost surely, 2105738383320 is an apocalyptic number.

105738383320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105738383320 is an abundant number, since it is smaller than the sum of its proper divisors (136146849320).

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

105738383320 is a wasteful number, since it uses less digits than its factorization.

105738383320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13276 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 105738383320 in words is "one hundred five billion, seven hundred thirty-eight million, three hundred eighty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 61 122 244 305 488 610 1220 2440 6101 7103 12202 14206 24404 28412 30505 35515 48808 56824 61010 71030 122020 142060 244040 284120 372161 433283 744322 866566 1488644 1733132 1860805 2166415 2977288 3466264 3721610 4332830 7443220 8665660 14886440 17331320 43335403 86670806 173341612 216677015 346683224 433354030 866708060 1733416120 2643459583 5286919166 10573838332 13217297915 21147676664 26434595830 52869191660 105738383320