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105522040134 = 23271963896899
BaseRepresentation
bin110001001000110011…
…0101000110101000110
3101002101000100001020200
41202101212220311012
53212102120241014
6120250503311330
710423635353610
oct1422146506506
9332330301220
10105522040134
114082a493635
121854b14b546
139c4886c304
1451705b3db0
152b28e0ea09
hex18919a8d46

105522040134 has 96 divisors (see below), whose sum is σ = 275127840000. Its totient is φ = 28553746752.

The previous prime is 105522040121. The next prime is 105522040139. The reversal of 105522040134 is 431040225501.

105522040134 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 220 + 401 + 34 = 666.

It is a super-2 number, since 2×1055220401342 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105522040098 and 105522040107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105522040139) 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, 15291817 + ... + 15298715.

It is an arithmetic number, because the mean of its divisors is an integer number (2865915000).

Almost surely, 2105522040134 is an apocalyptic number.

105522040134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105522040134 is an abundant number, since it is smaller than the sum of its proper divisors (169605799866).

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

105522040134 is a wasteful number, since it uses less digits than its factorization.

105522040134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13322 (or 13319 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 105522040134 its reverse (431040225501), we get a palindrome (536562265635).

The spelling of 105522040134 in words is "one hundred five billion, five hundred twenty-two million, forty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 6389 6899 12778 13798 19167 20697 38334 41394 44723 48293 57501 62091 89446 96586 115002 121391 124182 131081 134169 144879 242782 262162 268338 289758 364173 393243 402507 434637 728346 786486 805014 849737 869274 917567 1092519 1179729 1699474 1835134 2185038 2359458 2549211 2752701 5098422 5505402 7647633 8258103 15295266 16516206 44077711 88155422 132233133 264466266 308543977 396699399 617087954 793398798 837476509 925631931 1674953018 1851263862 2512429527 2776895793 5024859054 5553791586 5862335563 7537288581 11724671126 15074577162 17587006689 35174013378 52761020067 105522040134