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3312120420 = 2232572628667
BaseRepresentation
bin1100010101101010…
…1111001001100100
322112211100011001200
43011122233021210
523240400323140
61304354122500
7145035362520
oct30532571144
98484304050
103312120420
11144a673104
12785280430
1340a26708b
14235c52d80
15145b99030
hexc56af264

3312120420 has 72 divisors (see below), whose sum is σ = 11482021824. Its totient is φ = 757055808.

The previous prime is 3312120407. The next prime is 3312120431. The reversal of 3312120420 is 240212133.

3312120420 is a `hidden beast` number, since 3 + 31 + 212 + 0 + 420 = 666.

3312120420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3312120393 and 3312120402.

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, 1313074 + ... + 1315593.

Almost surely, 23312120420 is an apocalyptic number.

3312120420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3312120420 is an abundant number, since it is smaller than the sum of its proper divisors (8169901404).

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

3312120420 is a wasteful number, since it uses less digits than its factorization.

3312120420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2628689 (or 2628684 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3312120420 is about 57551.0244913155. The cubic root of 3312120420 is about 1490.6260480459.

Adding to 3312120420 its reverse (240212133), we get a palindrome (3552332553).

The spelling of 3312120420 in words is "three billion, three hundred twelve million, one hundred twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 2628667 5257334 7886001 10514668 13143335 15772002 18400669 23658003 26286670 31544004 36801338 39430005 47316006 52573340 55202007 73602676 78860010 92003345 94632012 110404014 118290015 157720020 165606021 184006690 220808028 236580030 276010035 331212042 368013380 473160060 552020070 662424084 828030105 1104040140 1656060210 3312120420