Search a number
-
+
122113042000103 = 711101130312050513
BaseRepresentation
bin11011110000111110101000…
…011111011010100011100111
3121000100220002212002110221002
4123300332220133122203213
5112001200002223000403
61111413542420143515
734502243005633520
oct3360765037324347
9530326085073832
10122113042000103
11359aa939801880
12118423aa837b9b
13531a2974894ab
142222434b1d847
15e1b691819188
hex6f0fa87da8e7

122113042000103 has 32 divisors (see below), whose sum is σ = 153870217546752. Its totient is φ = 94138599744000.

The previous prime is 122113042000063. The next prime is 122113042000133. The reversal of 122113042000103 is 301000240311221.

It is not a de Polignac number, because 122113042000103 - 212 = 122113041996007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122113042000133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4108175 + ... + 16158687.

It is an arithmetic number, because the mean of its divisors is an integer number (4808444298336).

Almost surely, 2122113042000103 is an apocalyptic number.

122113042000103 is a deficient number, since it is larger than the sum of its proper divisors (31757175546649).

122113042000103 is a wasteful number, since it uses less digits than its factorization.

122113042000103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12051935.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 122113042000103 its reverse (301000240311221), we get a palindrome (423113282311324).

The spelling of 122113042000103 in words is "one hundred twenty-two trillion, one hundred thirteen billion, forty-two million, one hundred three", and thus it is an aban number.

Divisors: 1 7 11 77 101 707 1111 1303 7777 9121 14333 100331 131603 921221 1447633 10133431 12050513 84353591 132555643 927889501 1217101813 8519712691 13388119943 15701818439 93716839601 109912729073 172720002829 1209040019803 1585883662339 11101185636373 17444720285729 122113042000103