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1020012012112 = 244310913601611
BaseRepresentation
bin11101101011111010111…
…01000010001001010000
310121111211101112222020211
432311331131002021100
5113202441033341422
62100330445213504
7133456564022452
oct16657535021120
93544741488224
101020012012112
11363648209885
12145827b61294
13752572bab22
14375241782d2
151b7ed5a6577
hexed7d742250

1020012012112 has 40 divisors (see below), whose sum is σ = 2040785864480. Its totient is φ = 493575223680.

The previous prime is 1020012012109. The next prime is 1020012012113. The reversal of 1020012012112 is 2112102100201.

1020012012112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1020012012092 and 1020012012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020012012113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6725814 + ... + 6875797.

It is an arithmetic number, because the mean of its divisors is an integer number (51019646612).

Almost surely, 21020012012112 is an apocalyptic number.

It is an amenable number.

1020012012112 is an abundant number, since it is smaller than the sum of its proper divisors (1020773852368).

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

1020012012112 is a wasteful number, since it uses less digits than its factorization.

1020012012112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13601771 (or 13601765 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020012012112 its reverse (2112102100201), we get a palindrome (3132114112313).

The spelling of 1020012012112 in words is "one trillion, twenty billion, twelve million, twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 43 86 109 172 218 344 436 688 872 1744 4687 9374 18748 37496 74992 13601611 27203222 54406444 108812888 217625776 584869273 1169738546 1482575599 2339477092 2965151198 4678954184 5930302396 9357908368 11860604792 23721209584 63750750757 127501501514 255003003028 510006006056 1020012012112