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2114312120 = 235831633907
BaseRepresentation
bin111111000000101…
…1101011110111000
312110100110011222022
41332001131132320
513312230441440
6545445014012
7103252233164
oct17601353670
95410404868
102114312120
11995523a98
124b00b4308
1327905c37b
14160b33ca4
15c5942cb5
hex7e05d7b8

2114312120 has 64 divisors (see below), whose sum is σ = 4845294720. Its totient is φ = 830196864.

The previous prime is 2114312119. The next prime is 2114312143. The reversal of 2114312120 is 212134112.

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, 539207 + ... + 543113.

It is an arithmetic number, because the mean of its divisors is an integer number (75707730).

Almost surely, 22114312120 is an apocalyptic number.

2114312120 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 2114312120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2422647360).

2114312120 is an abundant number, since it is smaller than the sum of its proper divisors (2730982600).

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

2114312120 is a wasteful number, since it uses less digits than its factorization.

2114312120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4160 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 2114312120 is about 45981.6498181612. The cubic root of 2114312120 is about 1283.4817559639.

Adding to 2114312120 its reverse (212134112), we get a palindrome (2326446232).

The spelling of 2114312120 in words is "two billion, one hundred fourteen million, three hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 163 166 326 332 415 652 664 815 830 1304 1630 1660 3260 3320 3907 6520 7814 13529 15628 19535 27058 31256 39070 54116 67645 78140 108232 135290 156280 270580 324281 541160 636841 648562 1273682 1297124 1621405 2547364 2594248 3184205 3242810 5094728 6368410 6485620 12736820 12971240 25473640 52857803 105715606 211431212 264289015 422862424 528578030 1057156060 2114312120