Search a number
-
+
23040414201 = 3719388114879
BaseRepresentation
bin10101011101010100…
…001101000111111001
32012110201121022110010
4111131110031013321
5334141321223301
614330140012133
71443651201150
oct253524150771
965421538403
1023040414201
119853793232
124570231049
13223256c3ac
14118800c597
158ecb445d6
hex55d50d1f9

23040414201 has 32 divisors (see below), whose sum is σ = 36969062400. Its totient is φ = 12468954240.

The previous prime is 23040414167. The next prime is 23040414233. The reversal of 23040414201 is 10241404032.

It is not a de Polignac number, because 23040414201 - 29 = 23040413689 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (23040414281) by changing a digit.

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, 1541080 + ... + 1555958.

It is an arithmetic number, because the mean of its divisors is an integer number (1155283200).

Almost surely, 223040414201 is an apocalyptic number.

23040414201 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23040414201 is a deficient number, since it is larger than the sum of its proper divisors (13928648199).

23040414201 is a wasteful number, since it uses less digits than its factorization.

23040414201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18789.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 23040414201 its reverse (10241404032), we get a palindrome (33281818233).

The spelling of 23040414201 in words is "twenty-three billion, forty million, four hundred fourteen thousand, two hundred one".

Divisors: 1 3 7 19 21 57 133 399 3881 11643 14879 27167 44637 73739 81501 104153 221217 282701 312459 516173 848103 1548519 1978907 5936721 57745399 173236197 404217793 1097162581 1212653379 3291487743 7680138067 23040414201