Search a number
-
+
23333031311120 = 2452074091406221
BaseRepresentation
bin1010100111000101001010…
…00010101111011100010000
310001121121122001220021100022
411103202211002233130100
511024242022003423440
6121343014022243012
74625520160512056
oct523424502573420
9101547561807308
1023333031311120
11748653497aa43
12274a120b86468
1310033ac03283b
145a94791381d6
152a6e2ba8dcb5
hex1538a50af710

23333031311120 has 40 divisors (see below), whose sum is σ = 54249597933720. Its totient is φ = 9333160888320.

The previous prime is 23333031311113. The next prime is 23333031311131. The reversal of 23333031311120 is 2111313033332.

It can be written as a sum of positive squares in 4 ways, for example, as 219859707664 + 23113171603456 = 468892^2 + 4807616^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 23333031311120.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15889610 + ... + 17295830.

It is an arithmetic number, because the mean of its divisors is an integer number (1356239948343).

Almost surely, 223333031311120 is an apocalyptic number.

23333031311120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23333031311120 is an abundant number, since it is smaller than the sum of its proper divisors (30916566622600).

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

23333031311120 is a wasteful number, since it uses less digits than its factorization.

23333031311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1613643 (or 1613637 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 26.

Adding to 23333031311120 its reverse (2111313033332), we get a palindrome (25444344344452).

The spelling of 23333031311120 in words is "twenty-three trillion, three hundred thirty-three billion, thirty-one million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 207409 414818 829636 1037045 1406221 1659272 2074090 2812442 3318544 4148180 5624884 7031105 8296360 11249768 14062210 16592720 22499536 28124420 56248840 112497680 291662891389 583325782778 1166651565556 1458314456945 2333303131112 2916628913890 4666606262224 5833257827780 11666515655560 23333031311120