Search a number
-
+
122112132322233 = 373137131916131913
BaseRepresentation
bin11011110000111101110010…
…010001010001001110111001
3121000100210202110101001111010
4123300331302101101032321
5112001141121333302413
61111413312242424133
734502211321536454
oct3360756221211671
9530323673331433
10122112132322233
11359aa51226a389
1211842196062049
13531a180b84a71
142222389da449b
15e1b63ba29dc3
hex6f0f724513b9

122112132322233 has 64 divisors (see below), whose sum is σ = 166567471234560. Its totient is φ = 79555413270528.

The previous prime is 122112132322217. The next prime is 122112132322253. The reversal of 122112132322233 is 332223231211221.

It is a happy number.

It is not a de Polignac number, because 122112132322233 - 24 = 122112132322217 is a prime.

It is a super-2 number, since 2×1221121323222332 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 122112132322233.

It is not an unprimeable number, because it can be changed into a prime (122112132322253) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63832791685 + ... + 63832793597.

It is an arithmetic number, because the mean of its divisors is an integer number (2602616738040).

Almost surely, 2122112132322233 is an apocalyptic number.

It is an amenable number.

122112132322233 is a deficient number, since it is larger than the sum of its proper divisors (44455338912327).

122112132322233 is a wasteful number, since it uses less digits than its factorization.

122112132322233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5058.

The product of its digits is 10368, while the sum is 30.

Adding to 122112132322233 its reverse (332223231211221), we get a palindrome (454335363533454).

The spelling of 122112132322233 in words is "one hundred twenty-two trillion, one hundred twelve billion, one hundred thirty-two million, three hundred twenty-two thousand, two hundred thirty-three".

Divisors: 1 3 73 137 219 411 1319 1613 1913 3957 4839 5739 10001 30003 96287 117749 139649 180703 220981 262081 288861 353247 418947 542109 662943 786243 2127547 2523247 3085669 6382641 7569741 9257007 13191319 16131613 19131913 39573957 48394839 57395739 155310931 184197031 225253837 291473939 345684839 422736653 465932793 552591093 675761511 874421817 1037054517 1268209959 4069997411 12209992233 21277597547 25234993247 30859775669 63832792641 75704979741 92579327007 297109811003 557589645307 891329433009 1672768935921 40704044107411 122112132322233