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103312122223 = 1923717345613
BaseRepresentation
bin110000000110111100…
…0011110000101101111
3100212122222222120210011
41200031320132011233
53143040400402343
6115243321154051
710315112356342
oct1401570360557
9325588876704
10103312122223
113a8a5aaa5a2
121803302b927
139985a7758b
145000cb4459
152a49dd429d
hex180de1e16f

103312122223 has 32 divisors (see below), whose sum is σ = 116655068160. Its totient is φ = 91034254080.

The previous prime is 103312122211. The next prime is 103312122229. The reversal of 103312122223 is 322221213301.

It is a cyclic number.

It is not a de Polignac number, because 103312122223 - 233 = 94722187631 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103312122194 and 103312122203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103312122229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242165 + ... + 2287777.

It is an arithmetic number, because the mean of its divisors is an integer number (3645470880).

Almost surely, 2103312122223 is an apocalyptic number.

103312122223 is a deficient number, since it is larger than the sum of its proper divisors (13342945937).

103312122223 is a wasteful number, since it uses less digits than its factorization.

103312122223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45799.

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 103312122223 its reverse (322221213301), we get a palindrome (425533335524).

The spelling of 103312122223 in words is "one hundred three billion, three hundred twelve million, one hundred twenty-two thousand, two hundred twenty-three".

Divisors: 1 19 23 71 73 437 1349 1387 1633 1679 5183 31027 31901 45613 98477 119209 866647 1049099 2264971 3238523 3329749 19932881 61531937 63265231 74486029 76584227 236412179 1415234551 1455100313 4491831401 5437480117 103312122223