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3312113420 = 22571121110193
BaseRepresentation
bin1100010101101010…
…1101011100001100
322112211022210110102
43011122231130030
523240400112140
61304354030232
7145035333230
oct30532553414
98484283412
103312113420
11144a668920
12785278378
1340a263b35
14235c505c0
15145b96e15
hexc56ad70c

3312113420 has 96 divisors (see below), whose sum is σ = 8713668096. Its totient is φ = 1027353600.

The previous prime is 3312113411. The next prime is 3312113429. The reversal of 3312113420 is 243112133.

3312113420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3312113411) and next prime (3312113429).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 3312113392 and 3312113401.

It is not an unprimeable number, because it can be changed into a prime (3312113429) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319844 + ... + 330036.

It is an arithmetic number, because the mean of its divisors is an integer number (90767376).

Almost surely, 23312113420 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 3312113420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4356834048).

3312113420 is an abundant number, since it is smaller than the sum of its proper divisors (5401554676).

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

3312113420 is a wasteful number, since it uses less digits than its factorization.

3312113420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10429 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 3312113420 is about 57550.9636756849. The cubic root of 3312113420 is about 1490.6249979241.

Adding to 3312113420 its reverse (243112133), we get a palindrome (3555225553).

The spelling of 3312113420 in words is "three billion, three hundred twelve million, one hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 211 220 308 385 422 770 844 1055 1477 1540 2110 2321 2954 4220 4642 5908 7385 9284 10193 11605 14770 16247 20386 23210 29540 32494 40772 46420 50965 64988 71351 81235 101930 112123 142702 162470 203860 224246 285404 324940 356755 448492 560615 713510 784861 1121230 1427020 1569722 2150723 2242460 3139444 3924305 4301446 7848610 8602892 10753615 15055061 15697220 21507230 23657953 30110122 43014460 47315906 60220244 75275305 94631812 118289765 150550610 165605671 236579530 301101220 331211342 473159060 662422684 828028355 1656056710 3312113420