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131001005233 = 7371129448003
BaseRepresentation
bin111101000000001000…
…1001011010010110001
3110112010200111120122201
41322000101023102301
54121242224131413
6140103034103201
712315220112650
oct1720021132261
9415120446581
10131001005233
115061471a18a
122147bb7ab01
13c4793a4417
1464aa3d9197
15361ab929dd
hex1e8044b4b1

131001005233 has 16 divisors (see below), whose sum is σ = 153898334080. Its totient is φ = 109154791296.

The previous prime is 131001005227. The next prime is 131001005237. The reversal of 131001005233 is 332500100131.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-131001005233 is a prime.

It is a super-2 number, since 2×1310010052332 (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 131001005233.

It is not an unprimeable number, because it can be changed into a prime (131001005237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68410 + ... + 516412.

It is an arithmetic number, because the mean of its divisors is an integer number (9618645880).

Almost surely, 2131001005233 is an apocalyptic number.

It is an amenable number.

131001005233 is a deficient number, since it is larger than the sum of its proper divisors (22897328847).

131001005233 is a wasteful number, since it uses less digits than its factorization.

131001005233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449176.

The product of its (nonzero) digits is 270, while the sum is 19.

Adding to 131001005233 its reverse (332500100131), we get a palindrome (463501105364).

The spelling of 131001005233 in words is "one hundred thirty-one billion, one million, five thousand, two hundred thirty-three".

Divisors: 1 7 37 259 1129 7903 41773 292411 448003 3136021 16576111 116032777 505795387 3540567709 18714429319 131001005233