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101311323201 = 32111023346699
BaseRepresentation
bin101111001011010100…
…0000001110001000001
3100200111120010110111200
41132112220001301001
53124441144320301
6114313005131413
710214406016134
oct1362650016101
9320446113450
10101311323201
1139a69667690
1217774b59b69
1397273b062a
144c9128c21b
15297e414c86
hex1796a01c41

101311323201 has 12 divisors (see below), whose sum is σ = 159642085200. Its totient is φ = 61400801880.

The previous prime is 101311323163. The next prime is 101311323241. The reversal of 101311323201 is 102323113101.

101311323201 is a `hidden beast` number, since 1 + 0 + 1 + 311 + 32 + 320 + 1 = 666.

It is not a de Polignac number, because 101311323201 - 221 = 101309226049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101311323241) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 511673251 + ... + 511673448.

It is an arithmetic number, because the mean of its divisors is an integer number (13303507100).

Almost surely, 2101311323201 is an apocalyptic number.

101311323201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101311323201 is a deficient number, since it is larger than the sum of its proper divisors (58330761999).

101311323201 is a wasteful number, since it uses less digits than its factorization.

101311323201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023346716 (or 1023346713 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101311323201 its reverse (102323113101), we get a palindrome (203634436302).

The spelling of 101311323201 in words is "one hundred one billion, three hundred eleven million, three hundred twenty-three thousand, two hundred one".

Divisors: 1 3 9 11 33 99 1023346699 3070040097 9210120291 11256813689 33770441067 101311323201