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131141106330 = 235132231507889
BaseRepresentation
bin111101000100010011…
…1100111101010011010
3110112111110010110020020
41322020213213222122
54122034110400310
6140125001011310
712321541003653
oct1721047475232
9415443113206
10131141106330
1150686810213
12214baa83b36
13c49c418790
1464c0c6852a
153628119170
hex1e889e7a9a

131141106330 has 64 divisors (see below), whose sum is σ = 340469498880. Its totient is φ = 32136109056.

The previous prime is 131141106323. The next prime is 131141106373. The reversal of 131141106330 is 33601141131.

It is a self number, because there is not a number n which added to its sum of digits gives 131141106330.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 666975 + ... + 840914.

It is an arithmetic number, because the mean of its divisors is an integer number (5319835920).

Almost surely, 2131141106330 is an apocalyptic number.

131141106330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131141106330 is an abundant number, since it is smaller than the sum of its proper divisors (209328392550).

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

131141106330 is a wasteful number, since it uses less digits than its factorization.

131141106330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508135.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 131141106330 its reverse (33601141131), we get a palindrome (164742247461).

The spelling of 131141106330 in words is "one hundred thirty-one billion, one hundred forty-one million, one hundred six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 223 390 446 669 1115 1338 2230 2899 3345 5798 6690 8697 14495 17394 28990 43485 86970 1507889 3015778 4523667 7539445 9047334 15078890 19602557 22618335 39205114 45236670 58807671 98012785 117615342 196025570 294038355 336259247 588076710 672518494 1008777741 1681296235 2017555482 3362592470 4371370211 5043888705 8742740422 10087777410 13114110633 21856851055 26228221266 43713702110 65570553165 131141106330