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200032210201032 = 23341122551170929
BaseRepresentation
bin101101011110110110100000…
…110101010010100111001000
3222020020220002122210210210000
4231132312200311102213020
5202204311431302413112
61545233310113523000
760063564433440246
oct5536664065224710
9866226078723700
10200032210201032
1158811202914100
121a5276ba573460
13877cc58517831
143757879803796
15181d46bc4c7dc
hexb5eda0d529c8

200032210201032 has 120 divisors (see below), whose sum is σ = 615839906647350. Its totient is φ = 60615821249280.

The previous prime is 200032210200997. The next prime is 200032210201049. The reversal of 200032210201032 is 230102012230002.

200032210201032 is a `hidden beast` number, since 200 + 0 + 322 + 102 + 0 + 10 + 32 = 666.

200032210201032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 150394069952676 + 49638140248356 = 12263526^2 + 7045434^2 .

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 = 200032210200996 and 200032210201014.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1275507057 + ... + 1275663872.

Almost surely, 2200032210201032 is an apocalyptic number.

200032210201032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

200032210201032 is an abundant number, since it is smaller than the sum of its proper divisors (415807696446318).

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

200032210201032 is a wasteful number, since it uses less digits than its factorization.

200032210201032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551170969 (or 2551170945 counting only the distinct ones).

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

Adding to 200032210201032 its reverse (230102012230002), we get a palindrome (430134222431034).

The spelling of 200032210201032 in words is "two hundred trillion, thirty-two billion, two hundred ten million, two hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 121 132 162 198 216 242 264 297 324 363 396 484 594 648 726 792 891 968 1089 1188 1452 1782 2178 2376 2904 3267 3564 4356 6534 7128 8712 9801 13068 19602 26136 39204 78408 2551170929 5102341858 7653512787 10204683716 15307025574 20409367432 22960538361 28062880219 30614051148 45921076722 56125760438 61228102296 68881615083 84188640657 91842153444 112251520876 137763230166 168377281314 183684306888 206644845249 224503041752 252565921971 275526460332 308691682409 336754562628 413289690498 505131843942 551052920664 617383364818 673509125256 757697765913 826579380996 926075047227 1010263687884 1234766729636 1515395531826 1653158761992 1852150094454 2020527375768 2273093297739 2469533459272 2778225141681 3030791063652 3704300188908 4546186595478 5556450283362 6061582127304 7408600377816 8334675425043 9092373190956 11112900566724 16669350850086 18184746381912 22225801133448 25004026275129 33338701700172 50008052550258 66677403400344 100016105100516 200032210201032