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3321221102320 = 2451117322879539
BaseRepresentation
bin110000010101001000001…
…101000011101011110000
3102202111122121102222220211
4300111020031003223300
5413403330100233240
611021425314313504
7461643645401422
oct60251015035360
912674577388824
103321221102320
111070581801270
12457812288894
131b1261008994
14b6a68584812
155b5d4e76bea
hex30548343af0

3321221102320 has 160 divisors (see below), whose sum is σ = 8477110287360. Its totient is φ = 1200084894720.

The previous prime is 3321221102291. The next prime is 3321221102327. The reversal of 3321221102320 is 232011221233.

It is a super-2 number, since 2×33212211023202 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 3321221102291 and 3321221102300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3321221102327) 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, 348168111 + ... + 348177649.

It is an arithmetic number, because the mean of its divisors is an integer number (52981939296).

Almost surely, 23321221102320 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 3321221102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4238555143680).

3321221102320 is an abundant number, since it is smaller than the sum of its proper divisors (5155889185040).

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

3321221102320 is a wasteful number, since it uses less digits than its factorization.

3321221102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12023 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 3321221102320 its reverse (232011221233), we get a palindrome (3553232323553).

The spelling of 3321221102320 in words is "three trillion, three hundred twenty-one billion, two hundred twenty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 173 176 220 346 440 692 865 880 1384 1730 1903 2287 2768 3460 3806 4574 6920 7612 9148 9515 9539 11435 13840 15224 18296 19030 19078 22870 25157 30448 36592 38060 38156 45740 47695 50314 76120 76312 91480 95390 100628 104929 125785 152240 152624 182960 190780 201256 209858 251570 381560 395651 402512 419716 503140 524645 763120 791302 839432 1006280 1049290 1582604 1650247 1678864 1978255 2012560 2098580 3165208 3300494 3956510 4197160 4352161 6330416 6600988 7913020 8251235 8394320 8704322 13201976 15826040 16502470 17408644 18152717 21760805 21815693 26403952 31652080 33004940 34817288 36305434 43521610 43631386 66009880 69634576 72610868 87043220 87262772 90763585 109078465 132019760 145221736 174086440 174525544 181527170 218156930 239972623 290443472 348172880 349051088 363054340 436313860 479945246 726108680 872627720 959890492 1199863115 1452217360 1745255440 1919780984 2399726230 3774114889 3839561968 4799452460 7548229778 9598904920 15096459556 18870574445 19197809840 30192919112 37741148890 41515263779 60385838224 75482297780 83030527558 150964595560 166061055116 207576318895 301929191120 332122110232 415152637790 664244220464 830305275580 1660610551160 3321221102320