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131250150853096 = 231137832707179411
BaseRepresentation
bin11101110101111100001110…
…100111100100100111101000
3122012201101120200101200220211
4131311330032213210213220
5114200400302104244341
61143051253101230504
736434340043502302
oct3565741647444750
9565641520350824
10131250150853096
1138902970521550
12128791a9b62434
135830ab3c49ba2
14245a781084972
1510291b6ec6181
hex775f0e9e49e8

131250150853096 has 128 divisors (see below), whose sum is σ = 279148652213760. Its totient is φ = 57325886956800.

The previous prime is 131250150853093. The next prime is 131250150853097. The reversal of 131250150853096 is 690358051052131.

131250150853096 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (131250150853093) 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, 731471631 + ... + 731651041.

It is an arithmetic number, because the mean of its divisors is an integer number (2180848845420).

Almost surely, 2131250150853096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131250150853096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139574326106880).

131250150853096 is an abundant number, since it is smaller than the sum of its proper divisors (147898501360664).

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

131250150853096 is a wasteful number, since it uses less digits than its factorization.

131250150853096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182255 (or 182251 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 49.

The spelling of 131250150853096 in words is "one hundred thirty-one trillion, two hundred fifty billion, one hundred fifty million, eight hundred fifty-three thousand, ninety-six".

Divisors: 1 2 4 8 11 22 37 44 74 83 88 148 166 296 332 407 664 814 913 1628 1826 2707 3071 3256 3652 5414 6142 7304 10828 12284 21656 24568 29777 33781 59554 67562 100159 119108 135124 179411 200318 224681 238216 270248 358822 400636 449362 717644 801272 898724 1101749 1435288 1797448 1973521 2203498 2471491 3947042 4406996 4942982 6638207 7894084 8313197 8813992 9885964 13276414 14891113 15788168 16626394 19771928 26552828 29782226 33252788 53105656 59564452 66505576 73020277 91445167 119128904 146040554 163802243 182890334 292081108 327604486 365780668 485665577 550971181 584162216 655208972 731561336 971331154 1101942362 1310417944 1942662308 2203884724 3885324616 4407769448 5342321347 6060682991 10684642694 12121365982 17969626349 21369285388 24242731964 35939252698 40310242891 42738570776 48485463928 71878505396 80620485782 143757010792 161240971564 197665889839 322481943128 395331779678 443412671801 790663559356 886825343602 1491478986967 1581327118712 1773650687204 2982957973934 3547301374408 5965915947868 11931831895736 16406268856637 32812537713274 65625075426548 131250150853096