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10133123023233 = 3271117143995723
BaseRepresentation
bin1001001101110100110100…
…1100101100000110000001
31022212201100202200111221100
42103131031030230012001
52312010113443220413
633315031545245013
72064044143356540
oct223351514540601
938781322614840
1010133123023233
11325748485a791
121177a4a493769
1358671b0595a2
142706352a6157
151288bc04ba73
hex9374d32c181

10133123023233 has 24 divisors (see below), whose sum is σ = 16742670820928. Its totient is φ = 5785172127072.

The previous prime is 10133123023181. The next prime is 10133123023297. The reversal of 10133123023233 is 33232032133101.

10133123023233 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 31 + 2 + 302 + 323 + 3 = 666.

It is not a de Polignac number, because 10133123023233 - 26 = 10133123023169 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10133123023197 and 10133123023206.

It is not an unprimeable number, because it can be changed into a prime (10133123022233) 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 23 ways as a sum of consecutive naturals, for example, 71927491 + ... + 72068232.

Almost surely, 210133123023233 is an apocalyptic number.

It is an amenable number.

10133123023233 is a deficient number, since it is larger than the sum of its proper divisors (6609547797695).

10133123023233 is a wasteful number, since it uses less digits than its factorization.

10133123023233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143996853 (or 143996850 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 10133123023233 its reverse (33232032133101), we get a palindrome (43365155156334).

The spelling of 10133123023233 in words is "ten trillion, one hundred thirty-three billion, one hundred twenty-three million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 3 7 9 21 63 1117 3351 7819 10053 23457 70371 143995723 431987169 1007970061 1295961507 3023910183 9071730549 160843222591 482529667773 1125902558137 1447589003319 3377707674411 10133123023233