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2000000112 = 2431111233373
BaseRepresentation
bin111011100110101…
…1001010001110000
312011101100112101020
41313031121101300
513044000000422
6530242535440
7100363502055
oct16715312160
95141315336
102000000112
11936a47760
12479967580
1325b477426
1414d89902c
15ba8b295c
hex77359470

2000000112 has 80 divisors (see below), whose sum is σ = 5643055488. Its totient is φ = 605341440.

The previous prime is 2000000099. The next prime is 2000000137. The reversal of 2000000112 is 2110000002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 2000000112.

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, 591258 + ... + 594630.

Almost surely, 22000000112 is an apocalyptic number.

2000000112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000000112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2821527744).

2000000112 is an abundant number, since it is smaller than the sum of its proper divisors (3643055376).

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

2000000112 is a wasteful number, since it uses less digits than its factorization.

2000000112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4518 (or 4512 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 2000000112 is about 44721.3608021938. The cubic root of 2000000112 is about 1259.9210734134.

Adding to 2000000112 its reverse (2110000002), we get a palindrome (4110000114).

The spelling of 2000000112 in words is "two billion, one hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1123 2246 3369 3373 4492 6738 6746 8984 10119 12353 13476 13492 17968 20238 24706 26952 26984 37059 37103 40476 49412 53904 53968 74118 74206 80952 98824 111309 148236 148412 161904 197648 222618 296472 296824 445236 592944 593648 890472 1780944 3787879 7575758 11363637 15151516 22727274 30303032 41666669 45454548 60606064 83333338 90909096 125000007 166666676 181818192 250000014 333333352 500000028 666666704 1000000056 2000000112