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4000003112 = 237711006037
BaseRepresentation
bin1110111001101011…
…0011010000101000
3101022202201012201102
43232122303100220
531143000044422
61500525540532
7201060315440
oct35632632050
911282635642
104000003112
1117729965a6
12937714748
134b9922c61
1429d355120
15186276192
hexee6b3428

4000003112 has 32 divisors (see below), whose sum is σ = 8692168320. Its totient is φ = 1690140480.

The previous prime is 4000003109. The next prime is 4000003153. The reversal of 4000003112 is 2113000004.

It is a happy number.

4000003112 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 = 4000003093 and 4000003102.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 499043 + ... + 506994.

It is an arithmetic number, because the mean of its divisors is an integer number (271630260).

Almost surely, 24000003112 is an apocalyptic number.

It is an amenable number.

4000003112 is an abundant number, since it is smaller than the sum of its proper divisors (4692165208).

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

4000003112 is a wasteful number, since it uses less digits than its factorization.

4000003112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006121 (or 1006117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 4000003112 is about 63245.5778058830. The cubic root of 4000003112 is about 1587.4014636341.

Adding to 4000003112 its reverse (2113000004), we get a palindrome (6113003116).

The spelling of 4000003112 in words is "four billion, three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 71 142 284 497 568 994 1988 3976 1006037 2012074 4024148 7042259 8048296 14084518 28169036 56338072 71428627 142857254 285714508 500000389 571429016 1000000778 2000001556 4000003112