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104531122134 = 2336785333871
BaseRepresentation
bin110000101011010001…
…0100101011111010110
3100222210221202012022000
41201112202211133112
53203034431402014
6120004304420130
710360243610055
oct1412642453726
9328727665260
10104531122134
114037110323a
1218313317646
139b1b491bba
1450b8b4c39c
152abbe24509
hex18568a57d6

104531122134 has 64 divisors (see below), whose sum is σ = 236041774080. Its totient is φ = 34282401120.

The previous prime is 104531122123. The next prime is 104531122139. The reversal of 104531122134 is 431221135401.

104531122134 is a `hidden beast` number, since 1 + 0 + 4 + 531 + 122 + 1 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 104531122098 and 104531122107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104531122139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3069219 + ... + 3103089.

It is an arithmetic number, because the mean of its divisors is an integer number (3688152720).

Almost surely, 2104531122134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104531122134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118020887040).

104531122134 is an abundant number, since it is smaller than the sum of its proper divisors (131510651946).

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

104531122134 is a wasteful number, since it uses less digits than its factorization.

104531122134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34802 (or 34796 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 104531122134 its reverse (431221135401), we get a palindrome (535752257535).

The spelling of 104531122134 in words is "one hundred four billion, five hundred thirty-one million, one hundred twenty-two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 54 67 134 201 402 603 853 1206 1706 1809 2559 3618 5118 7677 15354 23031 33871 46062 57151 67742 101613 114302 171453 203226 304839 342906 514359 609678 914517 1028718 1543077 1829034 2269357 3086154 4538714 6808071 13616142 20424213 28891963 40848426 57783926 61272639 86675889 122545278 173351778 260027667 520055334 780083001 1560166002 1935761521 3871523042 5807284563 11614569126 17421853689 34843707378 52265561067 104531122134