Search a number
-
+
21123120010023 = 341949171337899
BaseRepresentation
bin1001100110110000111000…
…00100001001001100100111
32202210100110112220110210000
410303120130010021030213
510232040122210310043
6112531454413432343
74310044414421313
oct463303404111447
982710415813700
1021123120010023
1168042a0626829
12245197619b6b3
13ba2b94c797c5
14530516132b43
152696da4502d3
hex13361c109327

21123120010023 has 20 divisors (see below), whose sum is σ = 31554475856200. Its totient is φ = 14081997234672.

The previous prime is 21123120009997. The next prime is 21123120010049. The reversal of 21123120010023 is 32001002132112.

21123120010023 is a `hidden beast` number, since 211 + 231 + 200 + 1 + 0 + 0 + 23 = 666.

It is an interprime number because it is at equal distance from previous prime (21123120009997) and next prime (21123120010049).

It is not a de Polignac number, because 21123120010023 - 224 = 21123103232807 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 21123120009978 and 21123120010005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21123120010063) 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 19 ways as a sum of consecutive naturals, for example, 15119328 + ... + 16457226.

It is an arithmetic number, because the mean of its divisors is an integer number (1577723792810).

Almost surely, 221123120010023 is an apocalyptic number.

21123120010023 is a deficient number, since it is larger than the sum of its proper divisors (10431355846177).

21123120010023 is a wasteful number, since it uses less digits than its factorization.

21123120010023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1532828 (or 1532819 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21123120010023 its reverse (32001002132112), we get a palindrome (53124122142135).

The spelling of 21123120010023 in words is "twenty-one trillion, one hundred twenty-three billion, one hundred twenty million, ten thousand, twenty-three".

Divisors: 1 3 9 27 81 194917 584751 1337899 1754253 4013697 5262759 12041091 15788277 36123273 108369819 260779259383 782337778149 2347013334447 7041040003341 21123120010023