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100023311013 = 3671792780047
BaseRepresentation
bin101110100100111011…
…0101001101010100101
3100120011210111122221120
41131021312221222211
53114321431423023
6113541114404153
710140446054433
oct1351166515245
9316153448846
10100023311013
1139468607aaa
1217475730659
1395805b1c42
144bac1abd53
1529062e18e3
hex1749da9aa5

100023311013 has 16 divisors (see below), whose sum is σ = 136111150080. Its totient is φ = 65319960816.

The previous prime is 100023310969. The next prime is 100023311027. The reversal of 100023311013 is 310113320001.

It is not a de Polignac number, because 100023311013 - 222 = 100019116709 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100023310983 and 100023311001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100023311033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1354045 + ... + 1426002.

It is an arithmetic number, because the mean of its divisors is an integer number (8506946880).

Almost surely, 2100023311013 is an apocalyptic number.

It is an amenable number.

100023311013 is a deficient number, since it is larger than the sum of its proper divisors (36087839067).

100023311013 is a wasteful number, since it uses less digits than its factorization.

100023311013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780296.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100023311013 its reverse (310113320001), we get a palindrome (410136631014).

The spelling of 100023311013 in words is "one hundred billion, twenty-three million, three hundred eleven thousand, thirteen".

Divisors: 1 3 67 179 201 537 11993 35979 2780047 8340141 186263149 497628413 558789447 1492885239 33341103671 100023311013