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100124440144134 = 2375344979532859
BaseRepresentation
bin10110110001000000001001…
…101100000010100100000110
3111010111210200101101211110220
4112301000021230002210012
5101110414323134103014
6552540311030525210
730042515652001260
oct2661001154024406
9433453611354426
10100124440144134
11299a259a24a2aa
12b290954506806
1343b39041aa623
141aa2097b22b30
15b896ee48d6a9
hex5b1009b02906

100124440144134 has 32 divisors (see below), whose sum is σ = 233173898346240. Its totient is φ = 28067228503392.

The previous prime is 100124440144121. The next prime is 100124440144159. The reversal of 100124440144134 is 431441044421001.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100124440144095 and 100124440144104.

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, 22489764204 + ... + 22489768655.

It is an arithmetic number, because the mean of its divisors is an integer number (7286684323320).

Almost surely, 2100124440144134 is an apocalyptic number.

100124440144134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100124440144134 is an abundant number, since it is smaller than the sum of its proper divisors (133049458202106).

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

100124440144134 is a wasteful number, since it uses less digits than its factorization.

100124440144134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44979532924.

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 100124440144134 its reverse (431441044421001), we get a palindrome (531565484565135).

The spelling of 100124440144134 in words is "one hundred trillion, one hundred twenty-four billion, four hundred forty million, one hundred forty-four thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 53 106 159 318 371 742 1113 2226 44979532859 89959065718 134938598577 269877197154 314856730013 629713460026 944570190039 1889140380078 2383915241527 4767830483054 7151745724581 14303491449162 16687406690689 33374813381378 50062220072067 100124440144134