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100113233002321 = 7211937198227147
BaseRepresentation
bin10110110000110101101101…
…101100001011111101010001
3111010110201202100012001002111
4112300311231230023331101
5101110223400122033241
6552531215002545321
730041641145604400
oct2660655554137521
9433421670161074
10100113233002321
11299988690a0830
12b28a747208241
1343b2839398076
141aa1713531637
15b89295633c81
hex5b0d6db0bf51

100113233002321 has 24 divisors (see below), whose sum is σ = 127180952339616. Its totient is φ = 77927055635520.

The previous prime is 100113233002319. The next prime is 100113233002337. The reversal of 100113233002321 is 123200332311001.

It is not a de Polignac number, because 100113233002321 - 21 = 100113233002319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100113233002292 and 100113233002301.

It is not an unprimeable number, because it can be changed into a prime (100113233002361) 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, 98608531 + ... + 99618616.

It is an arithmetic number, because the mean of its divisors is an integer number (5299206347484).

Almost surely, 2100113233002321 is an apocalyptic number.

100113233002321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100113233002321 is a deficient number, since it is larger than the sum of its proper divisors (27067719337295).

100113233002321 is a wasteful number, since it uses less digits than its factorization.

100113233002321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198228109 (or 198228102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 100113233002321 its reverse (123200332311001), we get a palindrome (223313565313322).

The spelling of 100113233002321 in words is "one hundred trillion, one hundred thirteen billion, two hundred thirty-three million, two thousand, three hundred twenty-one".

Divisors: 1 7 11 49 77 539 937 6559 10307 45913 72149 505043 198227147 1387590029 2180498617 9713130203 15263490319 106844432233 185738836739 1300171857173 2043127204129 9101203000211 14301890428903 100113233002321