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100364030013 = 3135234920529
BaseRepresentation
bin101110101111000101…
…0011001000000111101
3100121001112121222112210
41131132022121000331
53121021142430023
6114035005251033
710152054115332
oct1353612310075
9317045558483
10100364030013
1139622973255
121754b863a79
139606068910
144c01540989
152926195593
hex175e29903d

100364030013 has 16 divisors (see below), whose sum is σ = 144388032320. Its totient is φ = 61644374784.

The previous prime is 100364029949. The next prime is 100364030027. The reversal of 100364030013 is 310030463001.

It is not a de Polignac number, because 100364030013 - 26 = 100364029949 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 (100364030813) 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, 2439868 + ... + 2480661.

It is an arithmetic number, because the mean of its divisors is an integer number (9024252020).

Almost surely, 2100364030013 is an apocalyptic number.

100364030013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100364030013 is a deficient number, since it is larger than the sum of its proper divisors (44024002307).

100364030013 is a wasteful number, since it uses less digits than its factorization.

100364030013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4921068.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 100364030013 its reverse (310030463001), we get a palindrome (410394493014).

The spelling of 100364030013 in words is "one hundred billion, three hundred sixty-four million, thirty thousand, thirteen".

Divisors: 1 3 13 39 523 1569 6799 20397 4920529 14761587 63966877 191900631 2573436667 7720310001 33454676671 100364030013