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200201011120020 = 22358352267769147
BaseRepresentation
bin101101100001010011101110…
…001001101100011110010100
3222020212000210200111221222110
4231201103232021230132110
5202220043132321320040
61545443024055231020
760112021454535351
oct5541235611543624
9866760720457873
10200201011120020
1158876854602a29
121a554369678470
138792b49c0c811
143761ad0109628
151822a4b18e980
hexb614ee26c794

200201011120020 has 96 divisors (see below), whose sum is σ = 567328191994368. Its totient is φ = 52742642504832.

The previous prime is 200201011120013. The next prime is 200201011120093. The reversal of 200201011120020 is 20021110102002.

200201011120020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 200201011119978 and 200201011120005.

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, 259905087 + ... + 260674233.

It is an arithmetic number, because the mean of its divisors is an integer number (5909668666608).

Almost surely, 2200201011120020 is an apocalyptic number.

200201011120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200201011120020 is an abundant number, since it is smaller than the sum of its proper divisors (367127180874348).

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

200201011120020 is a wasteful number, since it uses less digits than its factorization.

200201011120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821509 (or 821507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 200201011120020 its reverse (20021110102002), we get a palindrome (220222121222022).

The spelling of 200201011120020 in words is "two hundred trillion, two hundred one billion, eleven million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 83 166 249 332 415 498 830 996 1245 1660 2490 4980 52267 104534 156801 209068 261335 313602 522670 627204 769147 784005 1045340 1538294 1568010 2307441 3076588 3136020 3845735 4338161 4614882 7691470 8676322 9229764 11537205 13014483 15382940 17352644 21690805 23074410 26028966 43381610 46148820 52057932 63839201 65072415 86763220 127678402 130144830 191517603 255356804 260289660 319196005 383035206 638392010 766070412 957588015 1276784020 1915176030 3830352060 40201006249 80402012498 120603018747 160804024996 201005031245 241206037494 402010062490 482412074988 603015093735 804020124980 1206030187470 2412060374940 3336683518667 6673367037334 10010050556001 13346734074668 16683417593335 20020101112002 33366835186670 40040202224004 50050252780005 66733670373340 100100505560010 200201011120020