Search a number
-
+
23131400413132 = 221112311979215797
BaseRepresentation
bin1010100001001101100101…
…11001111001111111001100
310000220100012001210101101201
411100212302321321333030
511012441102001210012
6121110230232315244
74605121444246324
oct520466271717714
9100810161711351
1023131400413132
117408a76553a70
12271702b242b24
13cba387b7cc8b
1459d7cc5dc284
152a1a7a365857
hex1509b2e79fcc

23131400413132 has 48 divisors (see below), whose sum is σ = 44218356779520. Its totient is φ = 10500374404800.

The previous prime is 23131400413049. The next prime is 23131400413151.

23131400413132 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×231314004131323 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23131400413132.

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, 107082658 + ... + 107298454.

It is an arithmetic number, because the mean of its divisors is an integer number (921215766240).

Almost surely, 223131400413132 is an apocalyptic number.

23131400413132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23131400413132 is a deficient number, since it is larger than the sum of its proper divisors (21086956366388).

23131400413132 is a wasteful number, since it uses less digits than its factorization.

23131400413132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219022 (or 219020 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

It can be divided in two parts, 23131400 and 413132, that added together give a palindrome (23544532).

The spelling of 23131400413132 in words is "twenty-three trillion, one hundred thirty-one billion, four hundred million, four hundred thirteen thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 44 1231 1979 2462 3958 4924 7916 13541 21769 27082 43538 54164 87076 215797 431594 863188 2373767 2436149 4747534 4872298 9495068 9744596 26797639 53595278 107190556 265646107 427062263 531292214 854124526 1062584428 1708249052 2922107177 4697684893 5844214354 9395369786 11688428708 18790739572 525713645753 1051427291506 2102854583012 5782850103283 11565700206566 23131400413132