Search a number
-
+
2122211011122 = 2327316749919381
BaseRepresentation
bin11110111000011101101…
…000100010101000110010
321111212210112102110112100
4132320131220202220302
5234232242004323442
64302532535041230
7306216236650026
oct36703550425062
97455715373470
102122211011122
1174902a876324
122a3370210216
1312517b836c37
1474a036dc386
153a30c12784c
hex1ee1da22a32

2122211011122 has 96 divisors (see below), whose sum is σ = 4698661968000. Its totient is φ = 692109722880.

The previous prime is 2122211011111. The next prime is 2122211011133. The reversal of 2122211011122 is 2211101122212.

It is an interprime number because it is at equal distance from previous prime (2122211011111) and next prime (2122211011133).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2122211011095 and 2122211011104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 109489872 + ... + 109509252.

It is an arithmetic number, because the mean of its divisors is an integer number (48944395500).

Almost surely, 22122211011122 is an apocalyptic number.

2122211011122 is an abundant number, since it is smaller than the sum of its proper divisors (2576450956878).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2122211011122 is a wasteful number, since it uses less digits than its factorization.

2122211011122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20128 (or 20125 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2122211011122 its reverse (2211101122212), we get a palindrome (4333312133334).

The spelling of 2122211011122 in words is "two trillion, one hundred twenty-two billion, two hundred eleven million, eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 167 219 334 438 499 501 657 998 1002 1314 1497 1503 2994 3006 4491 8982 12191 19381 24382 36427 36573 38762 58143 72854 73146 83333 109281 109719 116286 166666 174429 218562 219438 249999 327843 348858 499998 655686 749997 1414813 1499994 2829626 3236627 4244439 6083309 6473254 8488878 9671119 9709881 12166618 12733317 18249927 19342238 19419762 25466634 29013357 29129643 36499854 54749781 58026714 58259286 87040071 109499562 174080142 236273771 472547542 705991687 708821313 1411983374 1417642626 1615076873 2117975061 2126463939 3230153746 4235950122 4252927878 4845230619 6353925183 9690461238 12707850366 14535691857 29071383714 117900611729 235801223458 353701835187 707403670374 1061105505561 2122211011122