Search a number
-
+
23311304432010 = 2335712334023509
BaseRepresentation
bin1010100110011100101100…
…00001010001100110001010
310001112112112212221110022000
411103032112001101212022
511023413022413311020
6121325022044011430
74624120566213150
oct523162601214612
9101475485843260
1023311304432010
1174782a569a101
122745a78830b76
13100132895a05a
145a83b77713d0
152a65a9410090
hex15339605198a

23311304432010 has 64 divisors (see below), whose sum is σ = 71043975417600. Its totient is φ = 5328298155456.

The previous prime is 23311304431981. The next prime is 23311304432051. The reversal of 23311304432010 is 1023440311332.

It is a happy number.

23311304432010 is a `hidden beast` number, since 2 + 3 + 3 + 1 + 13 + 0 + 443 + 201 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 31 ways as a sum of consecutive naturals, for example, 6167009865 + ... + 6167013644.

It is an arithmetic number, because the mean of its divisors is an integer number (1110062115900).

Almost surely, 223311304432010 is an apocalyptic number.

23311304432010 is an abundant number, since it is smaller than the sum of its proper divisors (47732670985590).

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

23311304432010 is a wasteful number, since it uses less digits than its factorization.

23311304432010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12334023532 (or 12334023526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 23311304432010 its reverse (1023440311332), we get a palindrome (24334744743342).

The spelling of 23311304432010 in words is "twenty-three trillion, three hundred eleven billion, three hundred four million, four hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1890 12334023509 24668047018 37002070527 61670117545 74004141054 86338164563 111006211581 123340235090 172676329126 185010352635 222012423162 259014493689 333018634743 370020705270 431690822815 518028987378 555031057905 666037269486 777043481067 863381645630 1110062115810 1295072468445 1554086962134 1665093173715 2331130443201 2590144936890 3330186347430 3885217405335 4662260886402 7770434810670 11655652216005 23311304432010