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105112531146 = 23722711025019
BaseRepresentation
bin110000111100100110…
…0011111000011001010
3101001022110202211112010
41201321030133003022
53210232301444041
6120142114200350
710410533526060
oct1417114370312
9331273684463
10105112531146
114063a313457
1218455b830b6
139bb1a7b7bc
145132056030
152b02ebda16
hex187931f0ca

105112531146 has 32 divisors (see below), whose sum is σ = 241315637760. Its totient is φ = 29899848816.

The previous prime is 105112531129. The next prime is 105112531163. The reversal of 105112531146 is 641135211501.

It is an interprime number because it is at equal distance from previous prime (105112531129) and next prime (105112531163).

It is a super-2 number, since 2×1051125311462 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5502976 + ... + 5522043.

It is an arithmetic number, because the mean of its divisors is an integer number (7541113680).

Almost surely, 2105112531146 is an apocalyptic number.

105112531146 is an abundant number, since it is smaller than the sum of its proper divisors (136203106614).

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

105112531146 is a wasteful number, since it uses less digits than its factorization.

105112531146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11025258.

The product of its (nonzero) digits is 3600, while the sum is 30.

Adding to 105112531146 its reverse (641135211501), we get a palindrome (746247742647).

The spelling of 105112531146 in words is "one hundred five billion, one hundred twelve million, five hundred thirty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 14 21 42 227 454 681 1362 1589 3178 4767 9534 11025019 22050038 33075057 66150114 77175133 154350266 231525399 463050798 2502679313 5005358626 7508037939 15016075878 17518755191 35037510382 52556265573 105112531146