Search a number
-
+
100223313323231 = 7313167145834729
BaseRepresentation
bin10110110010011100001110…
…111111010010010011011111
3111010212020220000201202001002
4112302130032333102103133
5101114024321202320411
6553053542102140515
730052616064105530
oct2662341677222337
9433766800652032
10100223313323231
1129a3051761115a
12b2a7b48a2173b
1343c0030408427
141aa6b97262687
15b8c0897e533b
hex5b270efd24df

100223313323231 has 16 divisors (see below), whose sum is σ = 118273132707840. Its totient is φ = 83108294792640.

The previous prime is 100223313323191. The next prime is 100223313323233. The reversal of 100223313323231 is 132323313322001.

It is a cyclic number.

It is not a de Polignac number, because 100223313323231 - 210 = 100223313322207 is a prime.

It is a super-2 number, since 2×1002233133232312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100223313323194 and 100223313323203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100223313323233) 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, 72230126 + ... + 73604603.

It is an arithmetic number, because the mean of its divisors is an integer number (7392070794240).

Almost surely, 2100223313323231 is an apocalyptic number.

100223313323231 is a deficient number, since it is larger than the sum of its proper divisors (18049819384609).

100223313323231 is a wasteful number, since it uses less digits than its factorization.

100223313323231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145837934.

The product of its (nonzero) digits is 11664, while the sum is 29.

Adding to 100223313323231 its reverse (132323313322001), we get a palindrome (232546626645232).

The spelling of 100223313323231 in words is "one hundred trillion, two hundred twenty-three billion, three hundred thirteen million, three hundred twenty-three thousand, two hundred thirty-one".

Divisors: 1 7 31 217 3167 22169 98177 687239 145834729 1020843103 4520876599 31646136193 461858586743 3233010107201 14317616189033 100223313323231