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2111312320 = 265135031009
BaseRepresentation
bin111110111011000…
…0001000111000000
312110010210210000121
41331312001013000
513310443443240
6545300430024
7103214600335
oct17566010700
95403723017
102111312320
11993865217
124ab0a8314
1327854bb40
1416059298c
15c554e04a
hex7dd811c0

2111312320 has 112 divisors (see below), whose sum is σ = 5430438720. Its totient is φ = 777240576.

The previous prime is 2111312309. The next prime is 2111312321. The reversal of 2111312320 is 232131112.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2111312294 and 2111312303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111312321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2091976 + ... + 2092984.

It is an arithmetic number, because the mean of its divisors is an integer number (48486060).

Almost surely, 22111312320 is an apocalyptic number.

2111312320 is a gapful number since it is divisible by the number (20) 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 2111312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2715219360).

2111312320 is an abundant number, since it is smaller than the sum of its proper divisors (3319126400).

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

2111312320 is a wasteful number, since it uses less digits than its factorization.

2111312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1542 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2111312320 is about 45949.0187055175. The cubic root of 2111312320 is about 1282.8744645328.

Adding to 2111312320 its reverse (232131112), we get a palindrome (2343443432).

It can be divided in two parts, 21113 and 12320, that added together give a palindrome (33433).

The spelling of 2111312320 in words is "two billion, one hundred eleven million, three hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 503 520 832 1006 1009 1040 2012 2018 2080 2515 4024 4036 4160 5030 5045 6539 8048 8072 10060 10090 13078 13117 16096 16144 20120 20180 26156 26234 32192 32288 32695 40240 40360 52312 52468 64576 65390 65585 80480 80720 104624 104936 130780 131170 160960 161440 209248 209872 261560 262340 322880 418496 419744 507527 523120 524680 839488 1015054 1046240 1049360 2030108 2092480 2098720 2537635 4060216 4197440 5075270 6597851 8120432 10150540 13195702 16240864 20301080 26391404 32481728 32989255 40602160 52782808 65978510 81204320 105565616 131957020 162408640 211131232 263914040 422262464 527828080 1055656160 2111312320