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131022132301 = 1735292183957
BaseRepresentation
bin111101000000110000…
…1110001010001001101
3110112012011020221112201
41322001201301101031
54121313131213201
6140105111001501
712315564514624
oct1720141612115
9415164227481
10131022132301
115062563a275
1221487069291
13c480890848
1464ad1386bb
15361c967801
hex1e8187144d

131022132301 has 8 divisors (see below), whose sum is σ = 138768691320. Its totient is φ = 123279948288.

The previous prime is 131022132287. The next prime is 131022132331. The reversal of 131022132301 is 103231220131.

It can be written as a sum of positive squares in 4 ways, for example, as 3340262025 + 127681870276 = 57795^2 + 357326^2 .

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

It is not a de Polignac number, because 131022132301 - 221 = 131020035149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131022132331) 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, 1031986 + ... + 1151971.

It is an arithmetic number, because the mean of its divisors is an integer number (17346086415).

Almost surely, 2131022132301 is an apocalyptic number.

It is an amenable number.

131022132301 is a deficient number, since it is larger than the sum of its proper divisors (7746559019).

131022132301 is a wasteful number, since it uses less digits than its factorization.

131022132301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187503.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 131022132301 its reverse (103231220131), we get a palindrome (234253352432).

The spelling of 131022132301 in words is "one hundred thirty-one billion, twenty-two million, one hundred thirty-two thousand, three hundred one".

Divisors: 1 17 3529 59993 2183957 37127269 7707184253 131022132301