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105113231454 = 2371117235310979
BaseRepresentation
bin110000111100100111…
…1001010000001011110
3101001022112002102011110
41201321033022001132
53210232441401304
6120142141202450
710410542503560
oct1417117120136
9331275072143
10105113231454
114063a751620
1218456260426
139bb1c6549a
145132199330
152b030ab289
hex18793ca05e

105113231454 has 256 divisors, whose sum is σ = 295074938880. Its totient is φ = 24112957440.

The previous prime is 105113231453. The next prime is 105113231459. The reversal of 105113231454 is 454132311501.

It is a super-2 number, since 2×1051132314542 (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 (105113231453) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9568537 + ... + 9579515.

It is an arithmetic number, because the mean of its divisors is an integer number (1152636480).

Almost surely, 2105113231454 is an apocalyptic number.

105113231454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105113231454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147537469440).

105113231454 is an abundant number, since it is smaller than the sum of its proper divisors (189961707426).

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

105113231454 is a wasteful number, since it uses less digits than its factorization.

105113231454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095.

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 105113231454 its reverse (454132311501), we get a palindrome (559245542955).

The spelling of 105113231454 in words is "one hundred five billion, one hundred thirteen million, two hundred thirty-one thousand, four hundred fifty-four".