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1012033214001 = 322340112192143
BaseRepresentation
bin11101011101000011110…
…00010101011000110001
310120202020100001000212200
432232201320111120301
5113040121000322001
62052531024013413
7133055061245415
oct16564170253061
93522210030780
101012033214001
11360223402757
1214417ba61269
137458528c204
1436da862cd45
151b4d2d98086
hexeba1e15631

1012033214001 has 24 divisors (see below), whose sum is σ = 1529187469056. Its totient is φ = 643745097600.

The previous prime is 1012033213927. The next prime is 1012033214011. The reversal of 1012033214001 is 1004123302101.

1012033214001 is a `hidden beast` number, since 101 + 203 + 321 + 40 + 0 + 1 = 666.

1012033214001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1012033214001 - 215 = 1012033181233 is a prime.

It is a super-2 number, since 2×10120332140012 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1012033214011) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6013065 + ... + 6179078.

It is an arithmetic number, because the mean of its divisors is an integer number (63716144544).

Almost surely, 21012033214001 is an apocalyptic number.

It is an amenable number.

1012033214001 is a deficient number, since it is larger than the sum of its proper divisors (517154255055).

1012033214001 is a wasteful number, since it uses less digits than its factorization.

1012033214001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12192573 (or 12192570 counting only the distinct ones).

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

Adding to 1012033214001 its reverse (1004123302101), we get a palindrome (2016156516102).

The spelling of 1012033214001 in words is "one trillion, twelve billion, thirty-three million, two hundred fourteen thousand, one".

Divisors: 1 3 9 23 69 207 401 1203 3609 9223 27669 83007 12192143 36576429 109729287 280419289 841257867 2523773601 4889049343 14667148029 44001444087 112448134889 337344404667 1012033214001