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1012664406141 = 32195922014071
BaseRepresentation
bin11101011110001111000…
…00001001000001111101
310120210212022201220201100
432233013200021001331
5113042414041444031
62053113412403313
7133106524266633
oct16570740110175
93523768656640
101012664406141
11360517725753
12144317316539
1374655c8959b
14370283b5353
151b51d4c7de6
hexebc780907d

1012664406141 has 12 divisors (see below), whose sum is σ = 1539723658720. Its totient is φ = 639577519560.

The previous prime is 1012664406139. The next prime is 1012664406181. The reversal of 1012664406141 is 1416044662101.

1012664406141 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 6 + 644 + 0 + 6 + 1 + 4 + 1 = 666.

1012664406141 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 1012664406141 - 21 = 1012664406139 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012664406096 and 1012664406105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012664406181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2961006865 + ... + 2961007206.

Almost surely, 21012664406141 is an apocalyptic number.

It is an amenable number.

1012664406141 is a deficient number, since it is larger than the sum of its proper divisors (527059252579).

1012664406141 is a wasteful number, since it uses less digits than its factorization.

1012664406141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922014096 (or 5922014093 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 1012664406141 in words is "one trillion, twelve billion, six hundred sixty-four million, four hundred six thousand, one hundred forty-one".

Divisors: 1 3 9 19 57 171 5922014071 17766042213 53298126639 112518267349 337554802047 1012664406141