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1012002102012 = 2231117942830629
BaseRepresentation
bin11101011101000000000…
…01101001101011111100
310120202011011111101020210
432232200001221223330
5113040040014231022
62052523553112420
7133054232636046
oct16564001515374
93522134441223
101012002102012
11360207892870
12144171558710
137457b9b8055
1436da4450a96
151b4d029ea0c
hexeba0069afc

1012002102012 has 48 divisors (see below), whose sum is σ = 2590396502400. Its totient is φ = 304954071360.

The previous prime is 1012002101983. The next prime is 1012002102029. The reversal of 1012002102012 is 2102012002101.

1012002102012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21391687 + ... + 21438942.

It is an arithmetic number, because the mean of its divisors is an integer number (53966593800).

Almost surely, 21012002102012 is an apocalyptic number.

1012002102012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012002102012 is an abundant number, since it is smaller than the sum of its proper divisors (1578394400388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1012002102012 is a wasteful number, since it uses less digits than its factorization.

1012002102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42830826 (or 42830824 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1012002102012 its reverse (2102012002101), we get a palindrome (3114014104113).

The spelling of 1012002102012 in words is "one trillion, twelve billion, two million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 179 358 537 716 1074 1969 2148 3938 5907 7876 11814 23628 42830629 85661258 128491887 171322516 256983774 471136919 513967548 942273838 1413410757 1884547676 2826821514 5653643028 7666682591 15333365182 23000047773 30666730364 46000095546 84333508501 92000191092 168667017002 253000525503 337334034004 506001051006 1012002102012