Search a number
-
+
122102122222101 = 3721316340661693
BaseRepresentation
bin11011110000110100011101…
…100111110001001000010101
3121000022211220211121021120210
4123300310131213301020111
5112001010121242101401
61111404535055320033
734501405262230200
oct3360643547611025
9530284824537523
10122102122222101
11359a6245886a5a
1211840261820019
13531924706c2a8
142221aba772937
15e1b252d244d6
hex6f0d1d9f1215

122102122222101 has 24 divisors (see below), whose sum is σ = 190828554342624. Its totient is φ = 69240025676640.

The previous prime is 122102122222079. The next prime is 122102122222133. The reversal of 122102122222101 is 101222221201221.

It is not a de Polignac number, because 122102122222101 - 26 = 122102122222037 is a prime.

It is a super-2 number, since 2×1221021222221012 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102122222601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3170311590 + ... + 3170350103.

It is an arithmetic number, because the mean of its divisors is an integer number (7951189764276).

Almost surely, 2122102122222101 is an apocalyptic number.

It is an amenable number.

122102122222101 is a deficient number, since it is larger than the sum of its proper divisors (68726432120523).

122102122222101 is a wasteful number, since it uses less digits than its factorization.

122102122222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6340661841 (or 6340661834 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 122102122222101 its reverse (101222221201221), we get a palindrome (223324343423322).

The spelling of 122102122222101 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".

Divisors: 1 3 7 21 49 131 147 393 917 2751 6419 19257 6340661693 19021985079 44384631851 133153895553 310692422957 830626681783 932077268871 2491880045349 5814386772481 17443160317443 40700707407367 122102122222101