Search a number
-
+
102222211100211 = 3213981712398961
BaseRepresentation
bin10111001111100001110110…
…100101001010111000110011
3111101221100101122112212021100
4113033201312211022320303
5101344302042020201321
61001224122510455443
730350211453631446
oct2717416645127063
9441840348485240
10102222211100211
112a631218269524
12b56b423804583
1345066894c1017
141b3581d59565d
15bc407ab4d326
hex5cf87694ae33

102222211100211 has 12 divisors (see below), whose sum is σ = 148716566110840. Its totient is φ = 67657866338880.

The previous prime is 102222211100083. The next prime is 102222211100257. The reversal of 102222211100211 is 112001112222201.

102222211100211 is a `hidden beast` number, since 1 + 0 + 222 + 221 + 1 + 10 + 0 + 211 = 666.

It is not a de Polignac number, because 102222211100211 - 27 = 102222211100083 is a prime.

It is a super-3 number, since 3×1022222111002113 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102222211100011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40856198230 + ... + 40856200731.

Almost surely, 2102222211100211 is an apocalyptic number.

102222211100211 is a deficient number, since it is larger than the sum of its proper divisors (46494355010629).

102222211100211 is a wasteful number, since it uses less digits than its factorization.

102222211100211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81712399106 (or 81712399103 counting only the distinct ones).

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

Adding to 102222211100211 its reverse (112001112222201), we get a palindrome (214223323322412).

The spelling of 102222211100211 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred eleven million, one hundred thousand, two hundred eleven".

Divisors: 1 3 9 139 417 1251 81712398961 245137196883 735411590649 11358023455579 34074070366737 102222211100211