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10022020213320 = 2332557787481751
BaseRepresentation
bin1001000111010110111011…
…1101000110101001001000
31022111002120211010222202200
42101311232331012221020
52303200044133311240
633152015202400200
72053032001151043
oct221655675065110
938432524128680
1010022020213320
113214351156225
12115a402360060
135790c3236a4b
142690d5851c5a
15125a68215930
hex91d6ef46a48

10022020213320 has 96 divisors (see below), whose sum is σ = 32572196953920. Its totient is φ = 2672486928000.

The previous prime is 10022020213307. The next prime is 10022020213367. The reversal of 10022020213320 is 2331202022001.

10022020213320 is a `hidden beast` number, since 100 + 220 + 2 + 0 + 21 + 3 + 320 = 666.

10022020213320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10022020213293 and 10022020213302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20562445 + ... + 21044195.

It is an arithmetic number, because the mean of its divisors is an integer number (339293718270).

Almost surely, 210022020213320 is an apocalyptic number.

10022020213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022020213320 is an abundant number, since it is smaller than the sum of its proper divisors (22550176740600).

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

10022020213320 is a wasteful number, since it uses less digits than its factorization.

10022020213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539555 (or 539548 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10022020213320 its reverse (2331202022001), we get a palindrome (12353222235321).

The spelling of 10022020213320 in words is "ten trillion, twenty-two billion, twenty million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 57787 115574 173361 231148 288935 346722 462296 481751 520083 577870 693444 866805 963502 1040166 1155740 1386888 1445253 1733610 1927004 2080332 2311480 2408755 2600415 2890506 3467220 3854008 4160664 4335759 4817510 5200830 5781012 6934440 7226265 8671518 9635020 10401660 11562024 14452530 17343036 19270040 20803320 21678795 28905060 34686072 43357590 57810120 86715180 173430360 27838945037 55677890074 83516835111 111355780148 139194725185 167033670222 222711560296 250550505333 278389450370 334067340444 417584175555 501101010666 556778900740 668134680888 835168351110 1002202021332 1113557801480 1252752526665 1670336702220 2004404042664 2505505053330 3340673404440 5011010106660 10022020213320