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100110233313 = 3331314718053
BaseRepresentation
bin101110100111100001…
…0001110111011100001
3100120101212001202221000
41131033002032323201
53120011204431223
6113553501422213
710142552641266
oct1351702167341
9316355052830
10100110233313
1139502687012
121749a86a969
1395955c705c
144bb995726d
15290dc61543
hex174f08eee1

100110233313 has 32 divisors (see below), whose sum is σ = 148904929280. Its totient is φ = 66473447040.

The previous prime is 100110233273. The next prime is 100110233351. The reversal of 100110233313 is 313332011001.

It is a happy number.

100110233313 is a `hidden beast` number, since 10 + 0 + 110 + 233 + 313 = 666.

It is not a de Polignac number, because 100110233313 - 28 = 100110233057 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100110233383) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12427395 + ... + 12435447.

It is an arithmetic number, because the mean of its divisors is an integer number (4653279040).

Almost surely, 2100110233313 is an apocalyptic number.

It is an amenable number.

100110233313 is a deficient number, since it is larger than the sum of its proper divisors (48794695967).

100110233313 is a wasteful number, since it uses less digits than its factorization.

100110233313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9846 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 100110233313 its reverse (313332011001), we get a palindrome (413442244314).

The spelling of 100110233313 in words is "one hundred billion, one hundred ten million, two hundred thirty-three thousand, three hundred thirteen".

Divisors: 1 3 9 27 313 939 1471 2817 4413 8053 8451 13239 24159 39717 72477 217431 460423 1381269 2520589 4143807 7561767 11845963 12431421 22685301 35537889 68055903 106613667 319841001 3707786419 11123359257 33370077771 100110233313