Search a number
-
+
122231010312 = 2333604793581
BaseRepresentation
bin111000111010110001…
…0010011010000001000
3102200111111012200022000
41301311202103100020
54000312114312222
6132052510431000
711554666305435
oct1616542232010
9380444180260
10122231010312
11479242451a4
121b832b02460
13b6ac485808
145cb7776b8c
1532a5c9a9ac
hex1c75893408

122231010312 has 64 divisors (see below), whose sum is σ = 339590361600. Its totient is φ = 40736496960.

The previous prime is 122231010289. The next prime is 122231010329. The reversal of 122231010312 is 213010132221.

122231010312 is a `hidden beast` number, since 12 + 22 + 310 + 10 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259362 + ... + 1352942.

It is an arithmetic number, because the mean of its divisors is an integer number (5306099400).

Almost surely, 2122231010312 is an apocalyptic number.

122231010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122231010312 is an abundant number, since it is smaller than the sum of its proper divisors (217359351288).

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

122231010312 is a wasteful number, since it uses less digits than its factorization.

122231010312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99643 (or 99633 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 122231010312 its reverse (213010132221), we get a palindrome (335241142533).

The spelling of 122231010312 in words is "one hundred twenty-two billion, two hundred thirty-one million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 6047 12094 18141 24188 36282 48376 54423 72564 93581 108846 145128 163269 187162 217692 280743 326538 374324 435384 561486 653076 748648 842229 1122972 1306152 1684458 2245944 2526687 3368916 5053374 6737832 10106748 20213496 565884307 1131768614 1697652921 2263537228 3395305842 4527074456 5092958763 6790611684 10185917526 13581223368 15278876289 20371835052 30557752578 40743670104 61115505156 122231010312