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114103010120 = 235112311275001
BaseRepresentation
bin110101001000100010…
…0011100001101001000
3101220112000221111010212
41222101010130031020
53332140332310440
6124230155300252
711146402404041
oct1522104341510
9356460844125
10114103010120
11444331a1370
121a144a4a688
13a9b5577248
1457460ad8c8
152e7c419465
hex1a9111c348

114103010120 has 64 divisors (see below), whose sum is σ = 292248051840. Its totient is φ = 39688000000.

The previous prime is 114103010111. The next prime is 114103010129. The reversal of 114103010120 is 21010301411.

It is an interprime number because it is at equal distance from previous prime (114103010111) and next prime (114103010129).

It is a junction number, because it is equal to n+sod(n) for n = 114103010095 and 114103010104.

It is not an unprimeable number, because it can be changed into a prime (114103010129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5627381 + ... + 5647620.

It is an arithmetic number, because the mean of its divisors is an integer number (4566375810).

Almost surely, 2114103010120 is an apocalyptic number.

114103010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114103010120 is an abundant number, since it is smaller than the sum of its proper divisors (178145041720).

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

114103010120 is a wasteful number, since it uses less digits than its factorization.

114103010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11275046 (or 11275042 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 114103010120 its reverse (21010301411), we get a palindrome (135113311531).

The spelling of 114103010120 in words is "one hundred fourteen billion, one hundred three million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 5060 10120 11275001 22550002 45100004 56375005 90200008 112750010 124025011 225500020 248050022 259325023 451000040 496100044 518650046 620125055 992200088 1037300092 1240250110 1296625115 2074600184 2480500220 2593250230 2852575253 4961000440 5186500460 5705150506 10373000920 11410301012 14262876265 22820602024 28525752530 57051505060 114103010120