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131100101233 = 2297385314813
BaseRepresentation
bin111101000011000101…
…1001100101001110001
3110112101120222011210221
41322012023030221301
54121443111214413
6140120534053041
712320532321403
oct1720613145161
9415346864727
10131100101233
1150665653502
12214a91aa181
13c493a8c5ca
1464b9632b73
15362471968d
hex1e862cca71

131100101233 has 8 divisors (see below), whose sum is σ = 131200072488. Its totient is φ = 131000171904.

The previous prime is 131100101183. The next prime is 131100101261. The reversal of 131100101233 is 332101001131.

It can be written as a sum of positive squares in 4 ways, for example, as 44023173489 + 87076927744 = 209817^2 + 295088^2 .

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 131100101233 - 29 = 131100100721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (131100101333) 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, 8842935 + ... + 8857747.

It is an arithmetic number, because the mean of its divisors is an integer number (16400009061).

Almost surely, 2131100101233 is an apocalyptic number.

It is an amenable number.

131100101233 is a deficient number, since it is larger than the sum of its proper divisors (99971255).

131100101233 is a wasteful number, since it uses less digits than its factorization.

131100101233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20963.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 131100101233 its reverse (332101001131), we get a palindrome (463201102364).

The spelling of 131100101233 in words is "one hundred thirty-one billion, one hundred million, one hundred one thousand, two hundred thirty-three".

Divisors: 1 2297 3853 14813 8850341 34025461 57074489 131100101233