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114124110520 = 23572311878277
BaseRepresentation
bin110101001001001010…
…0111011101010111000
3101220120111122111110011
41222102110323222320
53332211233014040
6124232231431304
711150046635200
oct1522224735270
9356514574404
10114124110520
11444440a3412
121a14bb25534
13a9b9a544a4
145748c03400
152e7e1d63ea
hex1a9253bab8

114124110520 has 96 divisors (see below), whose sum is σ = 308338116480. Its totient is φ = 37866044160.

The previous prime is 114124110517. The next prime is 114124110547. The reversal of 114124110520 is 25011421411.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 114124110491 and 114124110500.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 878379 + ... + 999898.

It is an arithmetic number, because the mean of its divisors is an integer number (3211855380).

Almost surely, 2114124110520 is an apocalyptic number.

114124110520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114124110520 is an abundant number, since it is smaller than the sum of its proper divisors (194214005960).

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

114124110520 is a wasteful number, since it uses less digits than its factorization.

114124110520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878333 (or 1878322 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

Adding to 114124110520 its reverse (25011421411), we get a palindrome (139135531931).

The spelling of 114124110520 in words is "one hundred fourteen billion, one hundred twenty-four million, one hundred ten thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 49 56 62 70 98 124 140 155 196 217 245 248 280 310 392 434 490 620 868 980 1085 1240 1519 1736 1960 2170 3038 4340 6076 7595 8680 12152 15190 30380 60760 1878277 3756554 7513108 9391385 13147939 15026216 18782770 26295878 37565540 52591756 58226587 65739695 75131080 92035573 105183512 116453174 131479390 184071146 232906348 262958780 291132935 368142292 407586109 460177865 465812696 525917560 582265870 736284584 815172218 920355730 1164531740 1630344436 1840711460 2037930545 2329063480 2853102763 3260688872 3681422920 4075861090 5706205526 8151722180 11412411052 14265513815 16303444360 22824822104 28531027630 57062055260 114124110520