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100122010983 = 335970398929
BaseRepresentation
bin101110100111110111…
…1001010010101100111
3100120102200020010212000
41131033233022111213
53120022213322413
6113555002100343
710143055023441
oct1351757122547
9316380203760
10100122010983
11395092a0825
12174a27aa6b3
139597b8baa7
144bbb341491
15290ecdb073
hex174fbca567

100122010983 has 32 divisors (see below), whose sum is σ = 150881280000. Its totient is φ = 65600015616.

The previous prime is 100122010979. The next prime is 100122010993. The reversal of 100122010983 is 389010221001.

It is not a de Polignac number, because 100122010983 - 22 = 100122010979 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122010903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11208663 + ... + 11217591.

It is an arithmetic number, because the mean of its divisors is an integer number (4715040000).

Almost surely, 2100122010983 is an apocalyptic number.

100122010983 is a deficient number, since it is larger than the sum of its proper divisors (50759269017).

100122010983 is an equidigital number, since it uses as much as digits as its factorization.

100122010983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16036 (or 16030 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 100122010983 its reverse (389010221001), we get a palindrome (489132231984).

The spelling of 100122010983 in words is "one hundred billion, one hundred twenty-two million, ten thousand, nine hundred eighty-three".

Divisors: 1 3 9 27 59 177 531 1593 7039 8929 21117 26787 63351 80361 190053 241083 415301 526811 1245903 1580433 3737709 4741299 11213127 14223897 62851231 188553693 565661079 1696983237 3708222629 11124667887 33374003661 100122010983