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1000020011112 = 233217817009813
BaseRepresentation
bin11101000110101011101…
…01100110100001101000
310112121020010002002120100
432203111311212201220
5112341020110323422
62043223003225400
7132151266562323
oct16432565464150
93477203062510
101000020011112
11356119253601
12141988818260
13733bc484035
1436588d757ba
151b02d3ba7ac
hexe8d5d66868

1000020011112 has 48 divisors (see below), whose sum is σ = 2867704447140. Its totient is φ = 313731767808.

The previous prime is 1000020011099. The next prime is 1000020011113. The reversal of 1000020011112 is 2111100200001.

It is a happy number.

1000020011112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 958938396516 + 41081614596 = 979254^2 + 202686^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1000020011094 and 1000020011103.

It is not an unprimeable number, because it can be changed into a prime (1000020011113) 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, 408503683 + ... + 408506130.

Almost surely, 21000020011112 is an apocalyptic number.

1000020011112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000020011112 is an abundant number, since it is smaller than the sum of its proper divisors (1867684436028).

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

1000020011112 is a wasteful number, since it uses less digits than its factorization.

1000020011112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817009842 (or 817009835 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000020011112 its reverse (2111100200001), we get a palindrome (3111120211113).

The spelling of 1000020011112 in words is "one trillion, twenty million, eleven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 817009813 1634019626 2451029439 3268039252 4902058878 6536078504 7353088317 9804117756 13889166821 14706176634 19608235512 27778333642 29412353268 41667500463 55556667284 58824706536 83335000926 111113334568 125002501389 166670001852 250005002778 333340003704 500010005556 1000020011112