Search a number
-
+
101240242324430 = 25113149316020933
BaseRepresentation
bin10111000001001111010100…
…101011100100001111001110
3111021110110202120001112101112
4113001033110223210033032
5101232210004013340210
6555153043020012022
730216236404022306
oct2701172453441716
9437413676045345
10101240242324430
112a292822512230
12b431054391012
134464bb5a69031
141b000a7b86606
15ba87573abd05
hex5c13d4ae43ce

101240242324430 has 64 divisors (see below), whose sum is σ = 205253543725056. Its totient is φ = 35619833712000.

The previous prime is 101240242324423. The next prime is 101240242324433. The reversal of 101240242324430 is 34423242042101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101240242324433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13804244 + ... + 19825176.

It is an arithmetic number, because the mean of its divisors is an integer number (3207086620704).

Almost surely, 2101240242324430 is an apocalyptic number.

101240242324430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101240242324430 is an abundant number, since it is smaller than the sum of its proper divisors (104013301400626).

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

101240242324430 is a wasteful number, since it uses less digits than its factorization.

101240242324430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6025913.

The product of its (nonzero) digits is 36864, while the sum is 32.

Adding to 101240242324430 its reverse (34423242042101), we get a palindrome (135663484366531).

The spelling of 101240242324430 in words is "one hundred one trillion, two hundred forty billion, two hundred forty-two million, three hundred twenty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 11 22 31 55 62 110 155 310 341 682 1705 3410 4931 9862 24655 49310 54241 108482 152861 271205 305722 542410 764305 1528610 1681471 3362942 6020933 8407355 12041866 16814710 30104665 60209330 66230263 132460526 186648923 331151315 373297846 662302630 933244615 1866489230 2053138153 4106276306 10265690765 20531381530 29689220623 59378441246 148446103115 296892206230 326581426853 653162853706 920365839313 1632907134265 1840731678626 3265814268530 4601829196565 9203658393130 10124024232443 20248048464886 50620121162215 101240242324430