Search a number
-
+
122111001342 = 23211616722229
BaseRepresentation
bin111000110111001100…
…0100000001011111110
3102200012010101120221100
41301232120200023332
54000040404020332
6132032542313530
711552011246161
oct1615630401376
9380163346840
10122111001342
1147872527730
121b7ba8888a6
13b6906577a5
145ca5857ad8
15329a49267c
hex1c6e6202fe

122111001342 has 24 divisors (see below), whose sum is σ = 288626003640. Its totient is φ = 37003333680.

The previous prime is 122111001323. The next prime is 122111001359. The reversal of 122111001342 is 243100111221.

122111001342 is a `hidden beast` number, since 1 + 221 + 1 + 100 + 1 + 342 = 666.

It is a super-2 number, since 2×1221110013422 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 308360917 + ... + 308361312.

It is an arithmetic number, because the mean of its divisors is an integer number (12026083485).

Almost surely, 2122111001342 is an apocalyptic number.

122111001342 is an abundant number, since it is smaller than the sum of its proper divisors (166515002298).

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

122111001342 is a wasteful number, since it uses less digits than its factorization.

122111001342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616722248 (or 616722245 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122111001342 its reverse (243100111221), we get a palindrome (365211112563).

The spelling of 122111001342 in words is "one hundred twenty-two billion, one hundred eleven million, one thousand, three hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 616722229 1233444458 1850166687 3700333374 5550500061 6783944519 11101000122 13567889038 20351833557 40703667114 61055500671 122111001342