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3312422120 = 2357175691223
BaseRepresentation
bin1100010101101111…
…1000110011101000
322112211220110220202
43011123320303220
523240440001440
61304404411332
7145041060230
oct30533706350
98484813822
103312422120
11144a859847
127853a6b48
1340a3414b7
14235cd0cc0
15145c08615
hexc56f8ce8

3312422120 has 128 divisors (see below), whose sum is σ = 9041932800. Its totient is φ = 1066131456.

The previous prime is 3312422107. The next prime is 3312422123. The reversal of 3312422120 is 212242133.

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 = 3312422092 and 3312422101.

It is not an unprimeable number, because it can be changed into a prime (3312422123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2707829 + ... + 2709051.

It is an arithmetic number, because the mean of its divisors is an integer number (70640100).

Almost surely, 23312422120 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 3312422120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

3312422120 is an abundant number, since it is smaller than the sum of its proper divisors (5729510680).

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

3312422120 is a wasteful number, since it uses less digits than its factorization.

3312422120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1823 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3312422120 is about 57553.6455839246. The cubic root of 3312422120 is about 1490.6713068899.

Adding to 3312422120 its reverse (212242133), we get a palindrome (3524664253).

The spelling of 3312422120 in words is "three billion, three hundred twelve million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 569 595 680 952 1138 1190 1223 2276 2380 2446 2845 3983 4552 4760 4892 5690 6115 7966 8561 9673 9784 11380 12230 15932 17122 19346 19915 20791 22760 24460 31864 34244 38692 39830 41582 42805 48365 48920 67711 68488 77384 79660 83164 85610 96730 103955 135422 145537 159320 166328 171220 193460 207910 270844 291074 338555 342440 386920 415820 541688 582148 677110 695887 727685 831640 1164296 1354220 1391774 1455370 2708440 2783548 2910740 3479435 4871209 5567096 5821480 6958870 9742418 11830079 13917740 19484836 23660158 24356045 27835480 38969672 47320316 48712090 59150395 82810553 94640632 97424180 118300790 165621106 194848360 236601580 331242212 414052765 473203160 662484424 828105530 1656211060 3312422120