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105111231414 = 2374517554051
BaseRepresentation
bin110000111100100011…
…1100001101110110110
3101001022101022210121220
41201321013201232312
53210231433401124
6120142030251210
710410516503550
oct1417107415666
9331271283556
10105111231414
11406396059a2
1218455656b06
139bb1715027
145131bd84d0
152b02d13879
hex18791e1bb6

105111231414 has 32 divisors (see below), whose sum is σ = 240307865856. Its totient is φ = 30025077600.

The previous prime is 105111231403. The next prime is 105111231481. The reversal of 105111231414 is 414132111501.

105111231414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1051112314142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 87312 + ... + 466739.

It is an arithmetic number, because the mean of its divisors is an integer number (7509620808).

Almost surely, 2105111231414 is an apocalyptic number.

105111231414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105111231414 is an abundant number, since it is smaller than the sum of its proper divisors (135196634442).

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

105111231414 is a wasteful number, since it uses less digits than its factorization.

105111231414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558580.

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 105111231414 its reverse (414132111501), we get a palindrome (519243342915).

The spelling of 105111231414 in words is "one hundred five billion, one hundred eleven million, two hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 4517 9034 13551 27102 31619 63238 94857 189714 554051 1108102 1662153 3324306 3878357 7756714 11635071 23270142 2502648367 5005296734 7507945101 15015890202 17518538569 35037077138 52555615707 105111231414