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2211211213332 = 22311127131902363
BaseRepresentation
bin100000001011010110011…
…101010111101000010100
321211101112010000011220220
4200023112131113220110
5242212030032311312
64411452202154340
7315516606124152
oct40132635275024
97741463004826
102211211213332
117828510a1550
122b866a1b29b0
13130693490094
14790479023d2
153c7ba812c8c
hex202d6757a14

2211211213332 has 48 divisors (see below), whose sum is σ = 5672856870912. Its totient is φ = 664787904480.

The previous prime is 2211211213303. The next prime is 2211211213483. The reversal of 2211211213332 is 2333121121122.

It is a super-2 number, since 2×22112112133322 (a number of 25 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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 15 ways as a sum of consecutive naturals, for example, 65934418 + ... + 65967945.

It is an arithmetic number, because the mean of its divisors is an integer number (118184518144).

Almost surely, 22211211213332 is an apocalyptic number.

2211211213332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2211211213332 is an abundant number, since it is smaller than the sum of its proper divisors (3461645657580).

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

2211211213332 is a wasteful number, since it uses less digits than its factorization.

2211211213332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131902508 (or 131902506 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

Adding to 2211211213332 its reverse (2333121121122), we get a palindrome (4544332334454).

The spelling of 2211211213332 in words is "two trillion, two hundred eleven billion, two hundred eleven million, two hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 127 132 254 381 508 762 1397 1524 2794 4191 5588 8382 16764 131902363 263804726 395707089 527609452 791414178 1450925993 1582828356 2901851986 4352777979 5803703972 8705555958 16751600101 17411111916 33503200202 50254800303 67006400404 100509600606 184267601111 201019201212 368535202222 552802803333 737070404444 1105605606666 2211211213332