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131055042101144 = 2372778448623137
BaseRepresentation
bin11101110011000110100001…
…001110101111111110011000
3122012000201222012212011100112
4131303012201032233332120
5114134201211234214034
61142421504415423452
736414262054456550
oct3563064116577630
9565021865764315
10131055042101144
1138838149739407
1212847418524b88
13581858c0a0335
142451152836160
1510240981757ce
hex7731a13aff98

131055042101144 has 32 divisors (see below), whose sum is σ = 281846067883680. Its totient is φ = 55963679652864.

The previous prime is 131055042101059. The next prime is 131055042101147. The reversal of 131055042101144 is 441101240550131.

It is a super-2 number, since 2×1310550421011442 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131055042101144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131055042101147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4224296057 + ... + 4224327080.

It is an arithmetic number, because the mean of its divisors is an integer number (8807689621365).

Almost surely, 2131055042101144 is an apocalyptic number.

131055042101144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131055042101144 is an abundant number, since it is smaller than the sum of its proper divisors (150791025782536).

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

131055042101144 is a wasteful number, since it uses less digits than its factorization.

131055042101144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8448623427 (or 8448623423 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

Adding to 131055042101144 its reverse (441101240550131), we get a palindrome (572156282651275).

The spelling of 131055042101144 in words is "one hundred thirty-one trillion, fifty-five billion, forty-two million, one hundred one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 277 554 1108 1939 2216 3878 7756 15512 8448623137 16897246274 33794492548 59140361959 67588985096 118280723918 236561447836 473122895672 2340268608949 4680537217898 9361074435796 16381880262643 18722148871592 32763760525286 65527521050572 131055042101144