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114135154030 = 2517191012711291
BaseRepresentation
bin110101001001011111…
…1000011110101101110
3101220121021102120022001
41222102333003311232
53332222044412110
6124233304242514
711150242542052
oct1522277036556
9356537376261
10114135154030
114444a356587
121a15377043a
13a9bc120001
14574a479c62
152e8016863a
hex1a92fc3d6e

114135154030 has 128 divisors (see below), whose sum is σ = 232277207040. Its totient is φ = 40124160000.

The previous prime is 114135154009. The next prime is 114135154031. The reversal of 114135154030 is 30451531411.

114135154030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 114135154030.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114135154031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88407685 + ... + 88408975.

It is an arithmetic number, because the mean of its divisors is an integer number (1814665680).

Almost surely, 2114135154030 is an apocalyptic number.

114135154030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114135154030 is an abundant number, since it is smaller than the sum of its proper divisors (118142053010).

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

114135154030 is a wasteful number, since it uses less digits than its factorization.

114135154030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1706.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 114135154030 its reverse (30451531411), we get a palindrome (144586685441).

The spelling of 114135154030 in words is "one hundred fourteen billion, one hundred thirty-five million, one hundred fifty-four thousand, thirty".

Divisors: 1 2 5 10 17 19 34 38 85 95 101 170 190 202 271 323 505 542 646 1010 1291 1355 1615 1717 1919 2582 2710 3230 3434 3838 4607 5149 6455 8585 9214 9595 10298 12910 17170 19190 21947 23035 24529 25745 27371 32623 43894 46070 49058 51490 54742 65246 87533 109735 122645 130391 136855 163115 175066 219470 245290 260782 273710 326230 349861 416993 437665 465307 520049 651955 699722 833986 875330 930614 1040098 1303910 1749305 2084965 2216647 2326535 2477429 2600245 3498610 4169930 4433294 4653070 4954858 5200490 5947637 6647359 8840833 11083235 11895274 12387145 13294718 17681666 22166470 24774290 29738185 33236795 35335961 42116293 44204165 59476370 66473590 70671922 84232586 88408330 113005103 176679805 210581465 226010206 353359610 421162930 565025515 600711337 671383259 1130051030 1201422674 1342766518 3003556685 3356916295 6007113370 6713832590 11413515403 22827030806 57067577015 114135154030