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100012102119 = 32371670317981
BaseRepresentation
bin101110100100100101…
…1111001000111100111
3100120011000102012020100
41131021023321013213
53114311044231434
6113540034235143
710140251561436
oct1351113710747
9316130365210
10100012102119
1139462251656
1217471a25ab3
13957b189067
144baa8d111d
15290532a699
hex17492f91e7

100012102119 has 24 divisors (see below), whose sum is σ = 148383436032. Its totient is φ = 64865223360.

The previous prime is 100012102111. The next prime is 100012102129. The reversal of 100012102119 is 911201210001.

It is a happy number.

It is not a de Polignac number, because 100012102119 - 23 = 100012102111 is a prime.

It is a super-3 number, since 3×1000121021193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012102111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5553109 + ... + 5571089.

It is an arithmetic number, because the mean of its divisors is an integer number (6182643168).

Almost surely, 2100012102119 is an apocalyptic number.

100012102119 is a deficient number, since it is larger than the sum of its proper divisors (48371333913).

100012102119 is a wasteful number, since it uses less digits than its factorization.

100012102119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34727 (or 34724 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 100012102119 in words is "one hundred billion, twelve million, one hundred two thousand, one hundred nineteen".

Divisors: 1 3 9 37 111 333 16703 17981 50109 53943 150327 161829 618011 665297 1854033 1995891 5562099 5987673 300336643 901009929 2703029787 11112455791 33337367373 100012102119