Search a number
-
+
23032312102233 = 337121864085197
BaseRepresentation
bin1010011110010101000001…
…10001111111110101011001
310000112212102102122122111000
411033022200301333311121
511004330133344232413
6120552521554055213
74565013110432460
oct517124061776531
9100485372578430
1023032312102233
11737aa48804435
1226bb99687a509
13cb0c261ca555
14598aac69b9d7
1529e1cb1b6073
hex14f2a0c7fd59

23032312102233 has 16 divisors (see below), whose sum is σ = 38996507263360. Its totient is φ = 13161321201168.

The previous prime is 23032312102229. The next prime is 23032312102237. The reversal of 23032312102233 is 33220121323032.

23032312102233 is a `hidden beast` number, since 2 + 3 + 0 + 323 + 1 + 2 + 102 + 233 = 666.

It is an interprime number because it is at equal distance from previous prime (23032312102229) and next prime (23032312102237).

It is not a de Polignac number, because 23032312102233 - 22 = 23032312102229 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23032312102197 and 23032312102206.

It is not an unprimeable number, because it can be changed into a prime (23032312102237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60932042410 + ... + 60932042787.

It is an arithmetic number, because the mean of its divisors is an integer number (2437281703960).

Almost surely, 223032312102233 is an apocalyptic number.

It is an amenable number.

23032312102233 is a deficient number, since it is larger than the sum of its proper divisors (15964195161127).

23032312102233 is a wasteful number, since it uses less digits than its factorization.

23032312102233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121864085213 (or 121864085207 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 23032312102233 its reverse (33220121323032), we get a palindrome (56252433425265).

The spelling of 23032312102233 in words is "twenty-three trillion, thirty-two billion, three hundred twelve million, one hundred two thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 27 63 189 121864085197 365592255591 853048596379 1096776766773 2559145789137 3290330300319 7677437367411 23032312102233