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100123311123 = 32115051200227
BaseRepresentation
bin101110100111111010…
…0000111110000010011
3100120102202200012022100
41131033310013300103
53120023031423443
6113555050011443
710143102050103
oct1351764076023
9316382605270
10100123311123
1139509aa9620
12174a3116b83
1395982257c4
144bbb59d203
15290ee963d3
hex174fd07c13

100123311123 has 24 divisors (see below), whose sum is σ = 157802089536. Its totient is φ = 60668478000.

The previous prime is 100123311023. The next prime is 100123311131. The reversal of 100123311123 is 321113321001.

It is not a de Polignac number, because 100123311123 - 212 = 100123307027 is a prime.

It is a super-2 number, since 2×1001233111232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100123311096 and 100123311105.

It is not an unprimeable number, because it can be changed into a prime (100123311133) 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, 399936 + ... + 600162.

It is an arithmetic number, because the mean of its divisors is an integer number (6575087064).

Almost surely, 2100123311123 is an apocalyptic number.

100123311123 is a deficient number, since it is larger than the sum of its proper divisors (57678778413).

100123311123 is a wasteful number, since it uses less digits than its factorization.

100123311123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205295 (or 205292 counting only the distinct ones).

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

Adding to 100123311123 its reverse (321113321001), we get a palindrome (421236632124).

The spelling of 100123311123 in words is "one hundred billion, one hundred twenty-three million, three hundred eleven thousand, one hundred twenty-three".

Divisors: 1 3 9 11 33 99 5051 15153 45459 55561 166683 200227 500049 600681 1802043 2202497 6607491 19822473 1011346577 3034039731 9102119193 11124812347 33374437041 100123311123