Search a number
-
+
122113321010334 = 23214549466291387
BaseRepresentation
bin11011110000111110111001…
…000111110000010010011110
3121000100220211022002200000100
4123300332321013300102132
5112001201040134312314
61111414030224241530
734502252634322443
oct3360767107602236
9530326738080010
10122113321010334
11359aaa7224a345
12118424681702a6
13531a3102184c4
14222245dbcb9ca
15e1b6ab07dc09
hex6f0fb91f049e

122113321010334 has 24 divisors (see below), whose sum is σ = 264597048120600. Its totient is φ = 40701642501168.

The previous prime is 122113321010311. The next prime is 122113321010363. The reversal of 122113321010334 is 433010123311221.

122113321010334 is a `hidden beast` number, since 1 + 2 + 2 + 1 + 1 + 3 + 321 + 0 + 1 + 0 + 334 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 122113321010298 and 122113321010307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 232883812 + ... + 233407575.

It is an arithmetic number, because the mean of its divisors is an integer number (11024877005025).

Almost surely, 2122113321010334 is an apocalyptic number.

122113321010334 is an abundant number, since it is smaller than the sum of its proper divisors (142483727110266).

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

122113321010334 is a wasteful number, since it uses less digits than its factorization.

122113321010334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466305944 (or 466305941 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 122113321010334 its reverse (433010123311221), we get a palindrome (555123444321555).

The spelling of 122113321010334 in words is "one hundred twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, ten thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 18 14549 29098 43647 87294 130941 261882 466291387 932582774 1398874161 2797748322 4196622483 8393244966 6784073389463 13568146778926 20352220168389 40704440336778 61056660505167 122113321010334