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2111330112 = 26337439677
BaseRepresentation
bin111110111011000…
…0101011101000000
312110010211200102120
41331312011131000
513311000030422
6545301044240
7103215003243
oct17566053500
95403750376
102111330112
11993877621
124ab0b6680
13278556c78
1416059925a
15c555445c
hex7dd85740

2111330112 has 112 divisors (see below), whose sum is σ = 5758769280. Its totient is φ = 682186752.

The previous prime is 2111330107. The next prime is 2111330129. The reversal of 2111330112 is 2110331112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2111330091 and 2111330100.

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, 3118318 + ... + 3118994.

Almost surely, 22111330112 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 2111330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2879384640).

2111330112 is an abundant number, since it is smaller than the sum of its proper divisors (3647439168).

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

2111330112 is a wasteful number, since it uses less digits than its factorization.

2111330112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 2111330112 is about 45949.2123109853. The cubic root of 2111330112 is about 1282.8780681112.

Adding to 2111330112 its reverse (2110331112), we get a palindrome (4221661224).

The spelling of 2111330112 in words is "two billion, one hundred eleven million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 439 444 592 677 878 888 1184 1317 1354 1756 1776 2031 2368 2634 2708 3512 3552 4062 5268 5416 7024 7104 8124 10536 10832 14048 16243 16248 21072 21664 25049 28096 32486 32496 42144 43328 48729 50098 64972 64992 75147 84288 97458 100196 129944 129984 150294 194916 200392 259888 297203 300588 389832 400784 519776 594406 601176 779664 801568 891609 1039552 1188812 1202352 1559328 1603136 1783218 2377624 2404704 3118656 3566436 4755248 4809408 7132872 9510496 10996511 14265744 19020992 21993022 28531488 32989533 43986044 57062976 65979066 87972088 131958132 175944176 263916264 351888352 527832528 703776704 1055665056 2111330112