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115101128406 = 23113126832657
BaseRepresentation
bin110101100110010001…
…1111101011011010110
3102000002121002011000210
41223030203331123112
53341211342102111
6124513212350250
711213212306635
oct1531443753326
9360077064023
10115101128406
11448a564a410
121a383175386
13ab142a5a94
1457dc88b51c
152ed9d780a6
hex1acc8fd6d6

115101128406 has 96 divisors (see below), whose sum is σ = 259969751424. Its totient is φ = 33691891200.

The previous prime is 115101128399. The next prime is 115101128423. The reversal of 115101128406 is 604821101511.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43318630 + ... + 43321286.

It is an arithmetic number, because the mean of its divisors is an integer number (2708018244).

Almost surely, 2115101128406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115101128406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129984875712).

115101128406 is an abundant number, since it is smaller than the sum of its proper divisors (144868623018).

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

115101128406 is a wasteful number, since it uses less digits than its factorization.

115101128406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3418 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

Adding to 115101128406 its reverse (604821101511), we get a palindrome (719922229917).

The spelling of 115101128406 in words is "one hundred fifteen billion, one hundred one million, one hundred twenty-eight thousand, four hundred six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 682 683 961 1023 1366 1922 2046 2049 2657 2883 4098 5314 5766 7513 7971 10571 15026 15942 21142 21173 22539 29227 31713 42346 45078 58454 63426 63519 82367 87681 127038 164734 175362 232903 247101 465806 494202 656363 698709 906037 1312726 1397418 1812074 1814731 1969089 2553377 2718111 3629462 3938178 5106754 5436222 5444193 7219993 7660131 10888386 14439986 15320262 19962041 21659979 28087147 39924082 43319958 56174294 56256661 59886123 84261441 112513322 119772246 168522882 168769983 337539966 618823271 1237646542 1743956491 1856469813 3487912982 3712939626 5231869473 10463738946 19183521401 38367042802 57550564203 115101128406