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131142023430 = 235113791048549
BaseRepresentation
bin111101000100010101…
…1000111100100000110
3110112111111212001020220
41322020223013210012
54122034324222210
6140125032405210
712321551543505
oct1721053074406
9415444761226
10131142023430
1150687287250
12214bb246806
13c49c67a042
1464c102683c
15362824ac70
hex1e88ac7906

131142023430 has 64 divisors (see below), whose sum is σ = 344259936000. Its totient is φ = 31708091520.

The previous prime is 131142023401. The next prime is 131142023447. The reversal of 131142023430 is 34320241131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131142023430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 399205 + ... + 649344.

It is an arithmetic number, because the mean of its divisors is an integer number (5379061500).

Almost surely, 2131142023430 is an apocalyptic number.

131142023430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131142023430 is an abundant number, since it is smaller than the sum of its proper divisors (213117912570).

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

131142023430 is a wasteful number, since it uses less digits than its factorization.

131142023430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048949.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131142023430 its reverse (34320241131), we get a palindrome (165462264561).

The spelling of 131142023430 in words is "one hundred thirty-one billion, one hundred forty-two million, twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 379 758 1137 1895 2274 3790 4169 5685 8338 11370 12507 20845 25014 41690 62535 125070 1048549 2097098 3145647 5242745 6291294 10485490 11534039 15728235 23068078 31456470 34602117 57670195 69204234 115340390 173010585 346021170 397400071 794800142 1192200213 1987000355 2384400426 3974000710 4371400781 5961001065 8742801562 11922002130 13114202343 21857003905 26228404686 43714007810 65571011715 131142023430