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122100230122321 = 11679710715962227
BaseRepresentation
bin11011110000110010101100…
…110101111110101101010001
3121000022200000222021122122011
4123300302230311332231101
5112000442232402403241
61111404023225142521
734501310345523253
oct3360625465765521
9530280028248564
10122100230122321
11359a5464837430
121183ba1402aa41
135319005073619
14222197b363cd3
15e1b191b77281
hex6f0cacd7eb51

122100230122321 has 32 divisors (see below), whose sum is σ = 137858484460032. Its totient is φ = 107204863772160.

The previous prime is 122100230122313. The next prime is 122100230122327. The reversal of 122100230122321 is 123221032001221.

It is not a de Polignac number, because 122100230122321 - 23 = 122100230122313 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122100230122292 and 122100230122301.

It is not an unprimeable number, because it can be changed into a prime (122100230122327) 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, 331791 + ... + 15630436.

It is an arithmetic number, because the mean of its divisors is an integer number (4308077639376).

Almost surely, 2122100230122321 is an apocalyptic number.

122100230122321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122100230122321 is a deficient number, since it is larger than the sum of its proper divisors (15758254337711).

122100230122321 is a wasteful number, since it uses less digits than its factorization.

122100230122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15962509.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 122100230122321 its reverse (123221032001221), we get a palindrome (245321262123542).

The spelling of 122100230122321 in words is "one hundred twenty-two trillion, one hundred billion, two hundred thirty million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 11 67 97 107 737 1067 1177 6499 7169 10379 71489 78859 114169 695393 7649323 15962227 175584497 1069469209 1548336019 1707958289 11764161299 17031696209 18787541179 103738513273 114433205363 165671954033 1141123646003 1258765258993 1822391494363 11100020920211 122100230122321