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122142102213 = 3353115337207
BaseRepresentation
bin111000111000000111…
…1001001001011000101
3102200021021220200022110
41301300033021023011
54000121334232323
6132040013051233
711552536511235
oct1616017111305
9380237820273
10122142102213
114788903a22a
121b809186b19
13b696c26881
145ca9a31cc5
15329d087793
hex1c703c92c5

122142102213 has 8 divisors (see below), whose sum is σ = 163317486528. Its totient is φ = 81197393024.

The previous prime is 122142102193. The next prime is 122142102233. The reversal of 122142102213 is 312201241221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (122142102193) and next prime (122142102233).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 122142102213 - 214 = 122142085829 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 122142102213.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122142102233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57667545 + ... + 57669662.

It is an arithmetic number, because the mean of its divisors is an integer number (20414685816).

Almost surely, 2122142102213 is an apocalyptic number.

It is an amenable number.

122142102213 is a deficient number, since it is larger than the sum of its proper divisors (41175384315).

122142102213 is a wasteful number, since it uses less digits than its factorization.

122142102213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115337563.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 122142102213 its reverse (312201241221), we get a palindrome (434343343434).

The spelling of 122142102213 in words is "one hundred twenty-two billion, one hundred forty-two million, one hundred two thousand, two hundred thirteen".

Divisors: 1 3 353 1059 115337207 346011621 40714034071 122142102213