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3321130120 = 2357114012689
BaseRepresentation
bin1100010111110100…
…0110110010001000
322120110021220001021
43011331012302020
523300202130440
61305315202224
7145205066050
oct30575066210
98513256037
103321130120
111454767240
127882a6374
1340c09cc69
1423711a560
1514687884a
hexc5f46c88

3321130120 has 128 divisors (see below), whose sum is σ = 9343123200. Its totient is φ = 1032192000.

The previous prime is 3321130117. The next prime is 3321130139. The reversal of 3321130120 is 210311233.

It is a super-2 number, since 2×33211301202 = 22059810547942428800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3321130094 and 3321130103.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233736 + ... + 1236424.

It is an arithmetic number, because the mean of its divisors is an integer number (72993150).

Almost surely, 23321130120 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 3321130120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4671561600).

3321130120 is an abundant number, since it is smaller than the sum of its proper divisors (6021993080).

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

3321130120 is a wasteful number, since it uses less digits than its factorization.

3321130120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3119 (or 3115 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3321130120 is about 57629.2470886094. The cubic root of 3321130120 is about 1491.9764351661.

Adding to 3321130120 its reverse (210311233), we get a palindrome (3531441353).

The spelling of 3321130120 in words is "three billion, three hundred twenty-one million, one hundred thirty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 401 440 616 770 802 1540 1604 2005 2689 2807 3080 3208 4010 4411 5378 5614 8020 8822 10756 11228 13445 14035 16040 17644 18823 21512 22055 22456 26890 28070 29579 30877 35288 37646 44110 53780 56140 59158 61754 75292 88220 94115 107560 112280 118316 123508 147895 150584 154385 176440 188230 207053 236632 247016 295790 308770 376460 414106 591580 617540 752920 828212 1035265 1078289 1183160 1235080 1656424 2070530 2156578 4141060 4313156 5391445 7548023 8282120 8626312 10782890 11861179 15096046 21565780 23722358 30192092 37740115 43131560 47444716 59305895 60384184 75480230 83028253 94889432 118611790 150960460 166056506 237223580 301920920 332113012 415141265 474447160 664226024 830282530 1660565060 3321130120