Search a number
-
+
122111001110022 = 2350509740292921
BaseRepresentation
bin11011110000111100101110…
…110110000010011000000110
3121000100200211121210112001120
4123300330232312002120012
5112001131312241010042
61111413004112534410
734502141304435621
oct3360745666023006
9530320747715046
10122111001110022
11359a9a91776961
1211841b1b251406
13531a0306c6422
1422222bda5cdb8
15e1b5c257adec
hex6f0f2ed82606

122111001110022 has 16 divisors (see below), whose sum is σ = 244222491796272. Its totient is φ = 40703585440640.

The previous prime is 122111001110017. The next prime is 122111001110023. The reversal of 122111001110022 is 220011100111221.

It is a happy number.

It is a super-2 number, since 2×1221110011100222 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 122111001109983 and 122111001110010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122111001110023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17115879 + ... + 23177042.

It is an arithmetic number, because the mean of its divisors is an integer number (15263905737267).

Almost surely, 2122111001110022 is an apocalyptic number.

122111001110022 is an abundant number, since it is smaller than the sum of its proper divisors (122111490686250).

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

122111001110022 is a wasteful number, since it uses less digits than its factorization.

122111001110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40798023.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122111001110022 its reverse (220011100111221), we get a palindrome (342122101221243).

The spelling of 122111001110022 in words is "one hundred twenty-two trillion, one hundred eleven billion, one million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 505097 1010194 1515291 3030582 40292921 80585842 120878763 241757526 20351833518337 40703667036674 61055500555011 122111001110022