Search a number
-
+
22000101011220 = 2235499734806313
BaseRepresentation
bin1010000000010010011000…
…01101001010111100010100
32212220012002212101020222010
411000021030031022330110
510340422201324324340
6114442412404104220
74430312004063213
oct500111415127424
985805085336863
1022000101011220
117012210530072
122573925395070
13c377a6753c57
14560b4c2c307a
15282416b67b80
hex14024c34af14

22000101011220 has 48 divisors (see below), whose sum is σ = 61723730376000. Its totient is φ = 5854936694016.

The previous prime is 22000101011201. The next prime is 22000101011221. The reversal of 22000101011220 is 2211010100022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22000101011196 and 22000101011205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000101011221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 367373217 + ... + 367433096.

It is an arithmetic number, because the mean of its divisors is an integer number (1285911049500).

Almost surely, 222000101011220 is an apocalyptic number.

22000101011220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22000101011220 is an abundant number, since it is smaller than the sum of its proper divisors (39723629364780).

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

22000101011220 is a wasteful number, since it uses less digits than its factorization.

22000101011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734806824 (or 734806822 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 22000101011220 its reverse (2211010100022), we get a palindrome (24211111111242).

The spelling of 22000101011220 in words is "twenty-two trillion, one hundred one million, eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 499 998 1497 1996 2495 2994 4990 5988 7485 9980 14970 29940 734806313 1469612626 2204418939 2939225252 3674031565 4408837878 7348063130 8817675756 11022094695 14696126260 22044189390 44088378780 366668350187 733336700374 1100005050561 1466673400748 1833341750935 2200010101122 3666683501870 4400020202244 5500025252805 7333367003740 11000050505610 22000101011220