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131072270131 = 1116771351263
BaseRepresentation
bin111101000010010000…
…1000001111100110011
3110112022122121012201101
41322010201001330303
54121414000121011
6140114101345231
712320043625225
oct1720441017463
9415278535641
10131072270131
11506509745a0
122149ba08217
13c48b0968ba
1464b5a6a415
15362206d2c1
hex1e84841f33

131072270131 has 8 divisors (see below), whose sum is σ = 143844148224. Its totient is φ = 118443094920.

The previous prime is 131072270107. The next prime is 131072270143.

131072270131 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 131072270131 - 25 = 131072270099 is a prime.

It is a super-2 number, since 2×1310722701312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 131072270131.

It is not an unprimeable number, because it can be changed into a prime (131072270831) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 35673795 + ... + 35677468.

It is an arithmetic number, because the mean of its divisors is an integer number (17980518528).

Almost surely, 2131072270131 is an apocalyptic number.

131072270131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

131072270131 is a deficient number, since it is larger than the sum of its proper divisors (12771878093).

131072270131 is a wasteful number, since it uses less digits than its factorization.

131072270131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71351441.

The product of its (nonzero) digits is 1764, while the sum is 28.

The spelling of 131072270131 in words is "one hundred thirty-one billion, seventy-two million, two hundred seventy thousand, one hundred thirty-one".

Divisors: 1 11 167 1837 71351263 784863893 11915660921 131072270131