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200532120031332 = 22342180772838109
BaseRepresentation
bin101101100110001000000101…
…110001111101000001100100
3222022000200110020100102110000
4231212020011301331001210
5202241004240212000312
61550255103440301300
760144652606046325
oct5546100561750144
9868020406312400
10200532120031332
1158994215994791
121a5a8575311830
1387b8136a8434b
143773b40a7444c
15182b4799bdadc
hexb66205c7d064

200532120031332 has 60 divisors (see below), whose sum is σ = 524233161635260. Its totient is φ = 66843709942464.

The previous prime is 200532120031307. The next prime is 200532120031349. The reversal of 200532120031332 is 233130021235002.

It is a happy number.

200532120031332 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 321 + 2 + 0 + 0 + 3 + 1 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128125737501696 + 72406382529636 = 11319264^2 + 8509194^2 .

It is a super-3 number, since 3×2005321200313323 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 200532120031296 and 200532120031305.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69237894 + ... + 72076002.

Almost surely, 2200532120031332 is an apocalyptic number.

It is an amenable number.

200532120031332 is an abundant number, since it is smaller than the sum of its proper divisors (323701041603928).

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

200532120031332 is a wasteful number, since it uses less digits than its factorization.

200532120031332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3056202 (or 3056191 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 200532120031332 its reverse (233130021235002), we get a palindrome (433662141266334).

The spelling of 200532120031332 in words is "two hundred trillion, five hundred thirty-two billion, one hundred twenty million, thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 218077 436154 654231 872308 1308462 1962693 2616924 2838109 3925386 5676218 5888079 7850772 8514327 11352436 11776158 17028654 17664237 23552316 25542981 34057308 35328474 51085962 70656948 76628943 102171924 153257886 229886829 306515772 459773658 919547316 618926296393 1237852592786 1856778889179 2475705185572 3713557778358 5570336667537 7427115556716 11140673335074 16711010002611 22281346670148 33422020005222 50133030007833 66844040010444 100266060015666 200532120031332