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101245956649 = 738326962119
BaseRepresentation
bin101111001001010111…
…0101011001000101001
3100200100000010111110021
41132102232223020221
53124322431103044
6114302312120441
710212653301115
oct1362256531051
9320300114407
10101245956649
1139a35780842
1217757096121
1397169a4ab6
144c86714745
152978801e84
hex1792bab229

101245956649 has 16 divisors (see below), whose sum is σ = 104257238400. Its totient is φ = 98287572096.

The previous prime is 101245956601. The next prime is 101245956673. The reversal of 101245956649 is 946659542101.

It is a cyclic number.

It is not a de Polignac number, because 101245956649 - 29 = 101245956137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101245956596 and 101245956605.

It is not an unprimeable number, because it can be changed into a prime (101245956349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1598812 + ... + 1660930.

It is an arithmetic number, because the mean of its divisors is an integer number (6516077400).

Almost surely, 2101245956649 is an apocalyptic number.

It is an amenable number.

101245956649 is a deficient number, since it is larger than the sum of its proper divisors (3011281751).

101245956649 is an equidigital number, since it uses as much as digits as its factorization.

101245956649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62544.

The product of its (nonzero) digits is 2332800, while the sum is 52.

The spelling of 101245956649 in words is "one hundred one billion, two hundred forty-five million, nine hundred fifty-six thousand, six hundred forty-nine".

Divisors: 1 73 83 269 6059 19637 22327 62119 1629871 4534687 5155877 16710011 376379021 1219830803 1386930913 101245956649