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100223303313 = 3725171131849
BaseRepresentation
bin101110101010111000…
…1100011111010010001
3100120200201211022210210
41131111301203322101
53120224131201223
6114013021114333
710145425010400
oct1352561437221
9316621738723
10100223303313
11395604951a1
12175106b89a9
1395b2b65893
144bca98b637
152918b48893
hex1755c63e91

100223303313 has 24 divisors (see below), whose sum is σ = 155479629600. Its totient is φ = 57258949440.

The previous prime is 100223303263. The next prime is 100223303329. The reversal of 100223303313 is 313303322001.

It is not a de Polignac number, because 100223303313 - 213 = 100223295121 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100223303313.

It is not an unprimeable number, because it can be changed into a prime (100223303513) 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, 694213 + ... + 826061.

It is an arithmetic number, because the mean of its divisors is an integer number (6478317900).

Almost surely, 2100223303313 is an apocalyptic number.

It is an amenable number.

100223303313 is a deficient number, since it is larger than the sum of its proper divisors (55256326287).

100223303313 is a wasteful number, since it uses less digits than its factorization.

100223303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137037 (or 137030 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 100223303313 its reverse (313303322001), we get a palindrome (413526625314).

The spelling of 100223303313 in words is "one hundred billion, two hundred twenty-three million, three hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 21 49 147 5171 15513 36197 108591 131849 253379 395547 760137 922943 2768829 6460601 19381803 681791179 2045373537 4772538253 14317614759 33407767771 100223303313