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2040111112 = 2313172103659
BaseRepresentation
bin111100110011001…
…1010000000001000
312021011211101022211
41321212122000020
513134232023422
6534234354504
7101361441544
oct17146320010
95234741284
102040111112
11957653746
1248b28ba34
1326687c650
14154d3aa24
15be187577
hex7999a008

2040111112 has 96 divisors (see below), whose sum is σ = 4425220800. Its totient is φ = 876266496.

The previous prime is 2040111083. The next prime is 2040111167. The reversal of 2040111112 is 2111110402.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 2040111092 and 2040111101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3095439 + ... + 3096097.

It is an arithmetic number, because the mean of its divisors is an integer number (46096050).

Almost surely, 22040111112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2040111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2212610400).

2040111112 is an abundant number, since it is smaller than the sum of its proper divisors (2385109688).

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

2040111112 is a wasteful number, since it uses less digits than its factorization.

2040111112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 794 counting only the distinct ones).

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

The square root of 2040111112 is about 45167.5891763109. The cubic root of 2040111112 is about 1268.2881667172.

Adding to 2040111112 its reverse (2111110402), we get a palindrome (4151221514).

It can be divided in two parts, 20401 and 11112, that added together give a palindrome (31513).

The spelling of 2040111112 in words is "two billion, forty million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 103 104 136 206 221 289 412 442 578 659 824 884 1156 1318 1339 1751 1768 2312 2636 2678 3502 3757 5272 5356 7004 7514 8567 10712 11203 14008 15028 17134 22406 22763 29767 30056 34268 44812 45526 59534 67877 68536 89624 91052 119068 135754 145639 182104 190451 238136 271508 291278 380902 386971 543016 582556 761804 773942 882401 1153909 1165112 1523608 1547884 1764802 2307818 2475863 3095768 3529604 4615636 4951726 7059208 9231272 9903452 15000817 19616453 19806904 30001634 39232906 60003268 78465812 120006536 156931624 255013889 510027778 1020055556 2040111112