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105127000404 = 22323727523927
BaseRepresentation
bin110000111101000001…
…1101011100101010100
3101001100110222221121120
41201322003223211110
53210300003003104
6120143352243540
710411100521356
oct1417203534524
9331313887546
10105127000404
11406474a6418
121845a9a05b0
139bb4a766aa
145133d410d6
152b043cacd9
hex187a0eb954

105127000404 has 48 divisors (see below), whose sum is σ = 256313960448. Its totient is φ = 33472584288.

The previous prime is 105127000357. The next prime is 105127000411. The reversal of 105127000404 is 404000721501.

It is a super-2 number, since 2×1051270004042 (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, 61312 + ... + 462615.

It is an arithmetic number, because the mean of its divisors is an integer number (5339874176).

Almost surely, 2105127000404 is an apocalyptic number.

It is an amenable number.

105127000404 is an abundant number, since it is smaller than the sum of its proper divisors (151186960044).

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

105127000404 is a wasteful number, since it uses less digits than its factorization.

105127000404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524684 (or 524682 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

Adding to 105127000404 its reverse (404000721501), we get a palindrome (509127721905).

The spelling of 105127000404 in words is "one hundred five billion, one hundred twenty-seven million, four hundred four", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 727 1454 2181 2908 4362 8724 16721 33442 50163 66884 100326 200652 523927 1047854 1571781 2095708 3143562 6287124 12050321 24100642 36150963 48201284 72301926 144603852 380894929 761789858 1142684787 1523579716 2285369574 4570739148 8760583367 17521166734 26281750101 35042333468 52563500202 105127000404