Search a number
-
+
122404542031413 = 353593502340063
BaseRepresentation
bin11011110101001110000111…
…001111110010011000110101
3121001101202111222211100200000
4123311032013033302120311
5112020434000230001123
61112155511553341513
734532302442212305
oct3365160717623065
9531352458740600
10122404542031413
1136002524995864
121188a9a1567899
13533b911301215
1422325a900d605
15e24052b6db43
hex6f53873f2635

122404542031413 has 48 divisors (see below), whose sum is σ = 183875529277440. Its totient is φ = 81371366906544.

The previous prime is 122404542031337. The next prime is 122404542031477. The reversal of 122404542031413 is 314130245404221.

122404542031413 is a `hidden beast` number, since 1 + 2 + 2 + 40 + 4 + 542 + 0 + 31 + 41 + 3 = 666.

It is not a de Polignac number, because 122404542031413 - 28 = 122404542031157 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122404542031313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3055281420 + ... + 3055321482.

It is an arithmetic number, because the mean of its divisors is an integer number (3830740193280).

Almost surely, 2122404542031413 is an apocalyptic number.

It is an amenable number.

122404542031413 is a deficient number, since it is larger than the sum of its proper divisors (61470987246027).

122404542031413 is an equidigital number, since it uses as much as digits as its factorization.

122404542031413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75460 (or 75448 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

Adding to 122404542031413 its reverse (314130245404221), we get a palindrome (436534787435634).

The spelling of 122404542031413 in words is "one hundred twenty-two trillion, four hundred four billion, five hundred forty-two million, thirty-one thousand, four hundred thirteen".

Divisors: 1 3 9 27 81 243 359 1077 3231 9693 29079 35023 40063 87237 105069 120189 315207 360567 945621 1081701 2836863 3245103 8510589 9735309 12573257 14382617 37719771 43147851 113159313 129443553 339477939 388330659 1018433817 1164991977 1403126449 3055301451 3494975931 4209379347 12628138041 37884414123 113653242369 340959727107 503722395191 1511167185573 4533501556719 13600504670157 40801514010471 122404542031413