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12213312233133 = 3111959794179139
BaseRepresentation
bin1011000110111010001000…
…1000110001111010101101
31121020120200201200022002110
42301232202020301322231
53100100330412430013
641550415043314233
72400245156043564
oct261564210617255
947216621608073
1012213312233133
11398970039a870
12145303167b979
136a79309a268b
143031adaa4bdb
15162a69e202c3
hexb1ba2231ead

12213312233133 has 64 divisors (see below), whose sum is σ = 19257477120000. Its totient is φ = 6806311312320.

The previous prime is 12213312233123. The next prime is 12213312233149. The reversal of 12213312233133 is 33133221331221.

12213312233133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12213312233133 - 234 = 12196132363949 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12213312233133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12213312233123) 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, 832878 + ... + 5012016.

It is an arithmetic number, because the mean of its divisors is an integer number (300898080000).

Almost surely, 212213312233133 is an apocalyptic number.

It is an amenable number.

12213312233133 is a deficient number, since it is larger than the sum of its proper divisors (7044164886867).

12213312233133 is a wasteful number, since it uses less digits than its factorization.

12213312233133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4179310.

The product of its digits is 11664, while the sum is 30.

Adding to 12213312233133 its reverse (33133221331221), we get a palindrome (45346533564354).

The spelling of 12213312233133 in words is "twelve trillion, two hundred thirteen billion, three hundred twelve million, two hundred thirty-three thousand, one hundred thirty-three".

Divisors: 1 3 11 19 33 57 59 79 177 209 237 627 649 869 1121 1501 1947 2607 3363 4503 4661 12331 13983 16511 36993 49533 51271 88559 153813 265677 974149 2922447 4179139 12537417 45970529 79403641 137911587 238210923 246569201 330151981 739707603 873440051 990455943 2620320153 2712261211 3631671791 4684814819 6272887639 8136783633 10895015373 14054444457 18818662917 19478966879 51532963009 58436900637 69001764029 154598889027 207005292087 214268635669 370100370701 642805907007 1110301112103 4071104077711 12213312233133