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2133112122 = 2327310116073
BaseRepresentation
bin111111100100100…
…1011010100111010
312111122211022201200
41333021023110322
513332034041442
6551355555030
7103601103531
oct17711132472
95448738650
102133112122
119a50a4789
124b645ba76
1327cc1252b
14163429318
15c740834c
hex7f24b53a

2133112122 has 48 divisors (see below), whose sum is σ = 4731735528. Its totient is φ = 694310400.

The previous prime is 2133112117. The next prime is 2133112127. The reversal of 2133112122 is 2212113312.

It is an interprime number because it is at equal distance from previous prime (2133112117) and next prime (2133112127).

It can be written as a sum of positive squares in 4 ways, for example, as 2013406641 + 119705481 = 44871^2 + 10941^2 .

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2133112095 and 2133112104.

It is not an unprimeable number, because it can be changed into a prime (2133112127) 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, 124678 + ... + 140750.

Almost surely, 22133112122 is an apocalyptic number.

2133112122 is an abundant number, since it is smaller than the sum of its proper divisors (2598623406).

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

2133112122 is a wasteful number, since it uses less digits than its factorization.

2133112122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16255 (or 16252 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2133112122 is about 46185.6267901606. The cubic root of 2133112122 is about 1287.2746826874.

Adding to 2133112122 its reverse (2212113312), we get a palindrome (4345225434).

The spelling of 2133112122 in words is "two billion, one hundred thirty-three million, one hundred twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 101 146 202 219 303 438 606 657 909 1314 1818 7373 14746 16073 22119 32146 44238 48219 66357 96438 132714 144657 289314 1173329 1623373 2346658 3246746 3519987 4870119 7039974 9740238 10559961 14610357 21119922 29220714 118506229 237012458 355518687 711037374 1066556061 2133112122