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131352444270 = 23252997518831
BaseRepresentation
bin111101001010100110…
…1110011110101101110
3110120001011210112101100
41322111031303311232
54123002211204040
6140201550423530
712330015232365
oct1722515636556
9416034715340
10131352444270
1150785037573
1221559801ba6
13c504142608
146500d5c7dc
15363b962b30
hex1e95373d6e

131352444270 has 96 divisors (see below), whose sum is σ = 356935662720. Its totient is φ = 33470760960.

The previous prime is 131352444269. The next prime is 131352444319. The reversal of 131352444270 is 72444253131.

131352444270 is a `hidden beast` number, since 1 + 31 + 352 + 4 + 4 + 4 + 270 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6246 + ... + 512585.

It is an arithmetic number, because the mean of its divisors is an integer number (3718079820).

Almost surely, 2131352444270 is an apocalyptic number.

131352444270 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131352444270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178467831360).

131352444270 is an abundant number, since it is smaller than the sum of its proper divisors (225583218450).

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

131352444270 is a wasteful number, since it uses less digits than its factorization.

131352444270 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518970 (or 518967 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 131352444270 in words is "one hundred thirty-one billion, three hundred fifty-two million, four hundred forty-four thousand, two hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 97 145 174 194 261 290 291 435 485 522 582 870 873 970 1305 1455 1746 2610 2813 2910 4365 5626 8439 8730 14065 16878 25317 28130 42195 50634 84390 126585 253170 518831 1037662 1556493 2594155 3112986 4669479 5188310 7782465 9338958 15046099 15564930 23347395 30092198 45138297 46694790 50326607 75230495 90276594 100653214 135414891 150460990 150979821 225691485 251633035 270829782 301959642 451382970 452939463 503266070 677074455 754899105 905878926 1354148910 1459471603 1509798210 2264697315 2918943206 4378414809 4529394630 7297358015 8756829618 13135244427 14594716030 21892074045 26270488854 43784148090 65676222135 131352444270