Search a number
-
+
122003303220 = 22345137549713
BaseRepresentation
bin111000110011111110…
…1101010101100110100
3102122220121201221220000
41301213331222230310
53444330321200340
6132014134111300
711546232652401
oct1614775525464
9378817657800
10122003303220
1147817758517
121b78a7ab530
13b67424a0a6
145c954212a8
153290cbbd30
hex1c67f6ab34

122003303220 has 120 divisors (see below), whose sum is σ = 385523223624. Its totient is φ = 32296679424.

The previous prime is 122003303183. The next prime is 122003303221. The reversal of 122003303220 is 22303300221.

It is a happy number.

122003303220 is a `hidden beast` number, since 12 + 2 + 0 + 0 + 330 + 322 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8194232484 + 113809070736 = 90522^2 + 337356^2 .

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 = 122003303193 and 122003303202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122003303221) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 52917 + ... + 496796.

Almost surely, 2122003303220 is an apocalyptic number.

122003303220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122003303220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192761611812).

122003303220 is an abundant number, since it is smaller than the sum of its proper divisors (263519920404).

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

122003303220 is a wasteful number, since it uses less digits than its factorization.

122003303220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549871 (or 549860 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 122003303220 its reverse (22303300221), we get a palindrome (144306603441).

The spelling of 122003303220 in words is "one hundred twenty-two billion, three million, three hundred three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 137 162 180 270 274 324 405 411 540 548 685 810 822 1233 1370 1620 1644 2055 2466 2740 3699 4110 4932 6165 7398 8220 11097 12330 14796 18495 22194 24660 36990 44388 55485 73980 110970 221940 549713 1099426 1649139 2198852 2748565 3298278 4947417 5497130 6596556 8245695 9894834 10994260 14842251 16491390 19789668 24737085 29684502 32982780 44526753 49474170 59369004 74211255 75310681 89053506 98948340 148422510 150621362 178107012 222633765 225932043 296845020 301242724 376553405 445267530 451864086 677796129 753106810 890535060 903728172 1129660215 1355592258 1506213620 2033388387 2259320430 2711184516 3388980645 4066776774 4518640860 6100165161 6777961290 8133553548 10166941935 12200330322 13555922580 20333883870 24400660644 30500825805 40667767740 61001651610 122003303220