Search a number
-
+
23113233231132 = 22311891967418559
BaseRepresentation
bin1010100000101011110000…
…00011100110110100011100
310000211121021222000220210010
411100111320003212310130
511012141400201344012
6121054023414443220
74603606315613202
oct520257003466434
9100747258026703
1023113233231132
1174012a3664270
1227135bb063510
13cb8751115c45
1459c9878d3072
152a1365486c3c
hex1505780e6d1c

23113233231132 has 48 divisors (see below), whose sum is σ = 59494737254400. Its totient is φ = 6925313324160.

The previous prime is 23113233231091. The next prime is 23113233231247.

23113233231132 is nontrivially palindromic in base 10.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23113233231132.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 983697532 + ... + 983721027.

It is an arithmetic number, because the mean of its divisors is an integer number (1239473692800).

Almost surely, 223113233231132 is an apocalyptic number.

23113233231132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23113233231132 is an abundant number, since it is smaller than the sum of its proper divisors (36381504023268).

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

23113233231132 is a wasteful number, since it uses less digits than its factorization.

23113233231132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967418666 (or 1967418664 counting only the distinct ones).

The product of its digits is 11664, while the sum is 30.

It can be divided in two parts, 2311323 and 3231132, that added together give a palindrome (5542455).

The spelling of 23113233231132 in words is "twenty-three trillion, one hundred thirteen billion, two hundred thirty-three million, two hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 89 132 178 267 356 534 979 1068 1958 2937 3916 5874 11748 1967418559 3934837118 5902255677 7869674236 11804511354 21641604149 23609022708 43283208298 64924812447 86566416596 129849624894 175100251751 259699249788 350200503502 525300755253 700401007004 1050601510506 1926102769261 2101203021012 3852205538522 5778308307783 7704411077044 11556616615566 23113233231132