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201012312332200 = 23521759121268333
BaseRepresentation
bin101101101101000111010011…
…011110001101011110101000
3222100201120220122212202122011
4231231013103132031132220
5202321341203424112300
61551303440444005304
760224442326212015
oct5555072336153650
9870646818782564
10201012312332200
115905992aa276a6
121a665648830834
1388214c2317295
14378d09534c70c
151838bd16bdeba
hexb6d1d378d7a8

201012312332200 has 48 divisors (see below), whose sum is σ = 494845015955580. Its totient is φ = 75675223464960.

The previous prime is 201012312332197. The next prime is 201012312332203. The reversal of 201012312332200 is 2233213210102.

It is an interprime number because it is at equal distance from previous prime (201012312332197) and next prime (201012312332203).

It can be written as a sum of positive squares in 6 ways, for example, as 134471715285636 + 66540597046564 = 11596194^2 + 8157242^2 .

It is not an unprimeable number, because it can be changed into a prime (201012312332203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29560630767 + ... + 29560637566.

Almost surely, 2201012312332200 is an apocalyptic number.

201012312332200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201012312332200 is an abundant number, since it is smaller than the sum of its proper divisors (293832703623380).

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

201012312332200 is a wasteful number, since it uses less digits than its factorization.

201012312332200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59121268366 (or 59121268357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 201012312332200 its reverse (2233213210102), we get a palindrome (203245525542302).

The spelling of 201012312332200 in words is "two hundred one trillion, twelve billion, three hundred twelve million, three hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 59121268333 118242536666 236485073332 295606341665 472970146664 591212683330 1005061561661 1182425366660 1478031708325 2010123123322 2364850733320 2956063416650 4020246246644 5025307808305 5912126833300 8040492493288 10050615616610 11824253666600 20101231233220 25126539041525 40202462466440 50253078083050 100506156166100 201012312332200