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3320200113320 = 23529199272277
BaseRepresentation
bin110000010100001011010…
…110010010110010101000
3102202102000110021101022102
4300110023112102302220
5413344232212111240
611021140123112532
7461606440212206
oct60241326226250
912672013241272
103320200113320
1110700a8452102
12457588372748
131b112a63018c
14b69acb32076
155b5754eb815
hex3050b592ca8

3320200113320 has 96 divisors (see below), whose sum is σ = 7767189030600. Its totient is φ = 1275822890496.

The previous prime is 3320200113317. The next prime is 3320200113359. The reversal of 3320200113320 is 233110020233.

It can be written as a sum of positive squares in 4 ways, for example, as 3183490966756 + 136709146564 = 1784234^2 + 369742^2 .

It is a super-2 number, since 2×33202001133202 (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 = 3320200113292 and 3320200113301.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 45901022 + ... + 45973298.

Almost surely, 23320200113320 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 3320200113320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3883594515300).

3320200113320 is an abundant number, since it is smaller than the sum of its proper divisors (4446988917280).

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

3320200113320 is a wasteful number, since it uses less digits than its factorization.

3320200113320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72715 (or 72512 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 3320200113320 its reverse (233110020233), we get a palindrome (3553310133553).

The spelling of 3320200113320 in words is "three trillion, three hundred twenty billion, two hundred million, one hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 199 232 290 398 580 796 995 1160 1592 1990 3980 5771 7960 11542 23084 28855 39601 46168 57710 72277 79202 115420 144554 158404 198005 230840 289108 316808 361385 396010 578216 722770 792020 1148429 1445540 1584040 2096033 2296858 2891080 4192066 4593716 5742145 8384132 9187432 10480165 11484290 14383123 16768264 20960330 22968580 28766246 41920660 45937160 57532492 71915615 83841320 115064984 143831230 287662460 417110567 575324920 834221134 1668442268 2085552835 2862241477 3336884536 4171105670 5724482954 8342211340 11448965908 14311207385 16684422680 22897931816 28622414770 57244829540 83005002833 114489659080 166010005666 332020011332 415025014165 664040022664 830050028330 1660100056660 3320200113320