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3321221121020 = 2251173443466819
BaseRepresentation
bin110000010101001000001…
…101001000001111111100
3102202111122121110221120102
4300111020031020033330
5413403330101333040
611021425314540232
7461643645510065
oct60251015101774
912674577427512
103321221121020
111070581814320
12457812297678
131b126101434a
14b6a6858b56c
155b5d4e7c515
hex305483483fc

3321221121020 has 96 divisors (see below), whose sum is σ = 7730270311680. Its totient is φ = 1188481282560.

The previous prime is 3321221121007. The next prime is 3321221121073. The reversal of 3321221121020 is 201211221233.

It is a super-2 number, since 2×33212211210202 (a number of 26 digits) contains 22 as substring.

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 = 3321221120983 and 3321221121001.

It is a congruent number.

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, 6881171 + ... + 7347989.

It is an arithmetic number, because the mean of its divisors is an integer number (80523649080).

Almost surely, 23321221121020 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 3321221121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865135155840).

3321221121020 is an abundant number, since it is smaller than the sum of its proper divisors (4409049190660).

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

3321221121020 is a wasteful number, since it uses less digits than its factorization.

3321221121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467355 (or 467353 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 3321221121020 its reverse (201211221233), we get a palindrome (3522432342253).

The spelling of 3321221121020 in words is "three trillion, three hundred twenty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 73 110 146 220 292 365 443 730 803 886 1460 1606 1772 2215 3212 4015 4430 4873 8030 8860 9746 16060 19492 24365 32339 48730 64678 97460 129356 161695 323390 355729 466819 646780 711458 933638 1422916 1778645 1867276 2334095 3557290 4668190 5135009 7114580 9336380 10270018 20540036 25675045 34077787 51350090 68155574 102700180 136311148 170388935 206800817 340777870 374855657 413601634 681555740 749711314 827203268 1034004085 1499422628 1874278285 2068008170 2274808987 3748556570 4136016340 4549617974 7497113140 9099235948 11374044935 15096459641 22748089870 30192919282 45496179740 60385838564 75482298205 150964596410 166061056051 301929192820 332122112102 664244224204 830305280255 1660610560510 3321221121020