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101231113001 = 1744913262297
BaseRepresentation
bin101111001000111011…
…0000011001100101001
3100200021222012100210112
41132101312003030221
53124310131104001
6114301022024105
710212413156144
oct1362166031451
9320258170715
10101231113001
1139a28362567
1217752118035
1397138a8685
144c8476d05b
15297736dcbb
hex1791d83329

101231113001 has 8 divisors (see below), whose sum is σ = 107424613800. Its totient is φ = 95064137728.

The previous prime is 101231112991. The next prime is 101231113003. The reversal of 101231113001 is 100311132101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 23989363225 + 77241749776 = 154885^2 + 277924^2 .

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 101231113001 - 210 = 101231111977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101231113003) 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, 6623516 + ... + 6638781.

It is an arithmetic number, because the mean of its divisors is an integer number (13428076725).

Almost surely, 2101231113001 is an apocalyptic number.

It is an amenable number.

101231113001 is a deficient number, since it is larger than the sum of its proper divisors (6193500799).

101231113001 is a wasteful number, since it uses less digits than its factorization.

101231113001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13262763.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101231113001 its reverse (100311132101), we get a palindrome (201542245102).

The spelling of 101231113001 in words is "one hundred one billion, two hundred thirty-one million, one hundred thirteen thousand, one".

Divisors: 1 17 449 7633 13262297 225459049 5954771353 101231113001