Search a number
-
+
23211133343120 = 245366777910657
BaseRepresentation
bin1010100011100010000110…
…10110111001010110010000
310001011221222210100220012202
411101301003112321112100
511020242400113434440
6121211014125542332
74613643344052212
oct521610326712620
9101157883326182
1023211133343120
117439871728428
12272a5817149a8
13cc4a538767a8
145a35d3ad65b2
152a3b9517c615
hex151c435b9590

23211133343120 has 40 divisors (see below), whose sum is σ = 53967363227064. Its totient is φ = 9284199022592.

The previous prime is 23211133343119. The next prime is 23211133343129. The reversal of 23211133343120 is 2134333111232.

It can be written as a sum of positive squares in 4 ways, for example, as 6907498316944 + 16303635026176 = 2628212^2 + 4037776^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×232111333431203 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (23211133343129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1021169 + ... + 6889488.

Almost surely, 223211133343120 is an apocalyptic number.

23211133343120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23211133343120 is an abundant number, since it is smaller than the sum of its proper divisors (30756229883944).

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

23211133343120 is a wasteful number, since it uses less digits than its factorization.

23211133343120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7947347 (or 7947341 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

Adding to 23211133343120 its reverse (2134333111232), we get a palindrome (25345466454352).

The spelling of 23211133343120 in words is "twenty-three trillion, two hundred eleven billion, one hundred thirty-three million, three hundred forty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 36677 73354 146708 183385 293416 366770 586832 733540 1467080 2934160 7910657 15821314 31642628 39553285 63285256 79106570 126570512 158213140 316426280 632852560 290139166789 580278333578 1160556667156 1450695833945 2321113334312 2901391667890 4642226668624 5802783335780 11605566671560 23211133343120