Search a number
-
+
122022222030 = 2325472613763
BaseRepresentation
bin111000110100100010…
…1110101100011001110
3102122221221100010121200
41301221011311203032
53444400142101110
6132020051410330
711546552526312
oct1615105654316
9378857303550
10122022222030
11478273aa4a5
121b794bb39a6
13b678142357
145c97b47b42
1532927a76c0
hex1c691758ce

122022222030 has 72 divisors (see below), whose sum is σ = 324152091432. Its totient is φ = 31846882656.

The previous prime is 122022222029. The next prime is 122022222059. The reversal of 122022222030 is 30222220221.

122022222030 is a `hidden beast` number, since 1 + 220 + 222 + 220 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122022221994 and 122022222012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 108072 + ... + 505691.

It is an arithmetic number, because the mean of its divisors is an integer number (4502112381).

Almost surely, 2122022222030 is an apocalyptic number.

122022222030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122022222030 is an abundant number, since it is smaller than the sum of its proper divisors (202129869402).

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

122022222030 is a wasteful number, since it uses less digits than its factorization.

122022222030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 613870 (or 613820 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 122022222030 its reverse (30222220221), we get a palindrome (152244442251).

The spelling of 122022222030 in words is "one hundred twenty-two billion, twenty-two million, two hundred twenty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 1410 2115 2209 4230 4418 6627 11045 13254 19881 22090 33135 39762 66270 99405 198810 613763 1227526 1841289 3068815 3682578 5523867 6137630 9206445 11047734 18412890 27619335 28846861 55238670 57693722 86540583 144234305 173081166 259621749 288468610 432702915 519243498 865405830 1298108745 1355802467 2596217490 2711604934 4067407401 6779012335 8134814802 12202222203 13558024670 20337037005 24404444406 40674074010 61011111015 122022222030