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201213320332032 = 2832321592715637
BaseRepresentation
bin101101110000000010100000…
…011110111000001100000000
3222101102210202020220010221200
4231300002200132320030000
5202333134340001111112
61551540042343021200
760245116440056031
oct5560024036701400
9871383666803850
10201213320332032
11591270a9786008
121a6985a5a3a800
138837447414958
143798ac3260a88
15183e0483a4cdc
hexb700a07b8300

201213320332032 has 108 divisors (see below), whose sum is σ = 580165860805440. Its totient is φ = 67068996470784.

The previous prime is 201213320332027. The next prime is 201213320332039. The reversal of 201213320332032 is 230233023312102.

201213320332032 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 1 + 3 + 320 + 332 + 0 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 201213320331987 and 201213320332005.

It is not an unprimeable number, because it can be changed into a prime (201213320332039) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72736518 + ... + 75452154.

Almost surely, 2201213320332032 is an apocalyptic number.

It is an amenable number.

201213320332032 is an abundant number, since it is smaller than the sum of its proper divisors (378952540473408).

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

201213320332032 is a wasteful number, since it uses less digits than its factorization.

201213320332032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2747818 (or 2747801 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 201213320332032 its reverse (230233023312102), we get a palindrome (431446343644134).

The spelling of 201213320332032 in words is "two hundred one trillion, two hundred thirteen billion, three hundred twenty million, three hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 32159 64318 96477 128636 192954 257272 289431 385908 514544 578862 771816 1029088 1157724 1543632 2058176 2315448 2715637 3087264 4116352 4630896 5431274 6174528 8146911 8232704 9261792 10862548 12349056 16293822 18523584 21725096 24440733 24698112 32587644 37047168 43450192 48881466 65175288 74094336 86900384 97762932 130350576 173800768 195525864 260701152 347601536 391051728 521402304 695203072 782103456 1042804608 1564206912 2085609216 3128413824 6256827648 87332170283 174664340566 261996510849 349328681132 523993021698 698657362264 785989532547 1047986043396 1397314724528 1571979065094 2095972086792 2794629449056 3143958130188 4191944173584 5589258898112 6287916260376 8383888347168 11178517796224 12575832520752 16767776694336 22357035592448 25151665041504 33535553388672 50303330083008 67071106777344 100606660166016 201213320332032