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120201211101213 = 32112110377604317
BaseRepresentation
bin11011010101001010000110…
…011111010100000000011101
3120202121010100001222000222100
4123111022012133110000131
5111223334040020214323
61103351401333035313
734214152031263404
oct3325120637240035
9522533301860870
10120201211101213
1135333058033700
1211593972485b39
13520bc05629188
142197aabd3063b
15dd6a990a9943
hex6d52867d401d

120201211101213 has 18 divisors (see below), whose sum is σ = 190842877865822. Its totient is φ = 72849218848560.

The previous prime is 120201211101137. The next prime is 120201211101229. The reversal of 120201211101213 is 312101112102021.

It is a happy number.

120201211101213 is a `hidden beast` number, since 120 + 20 + 1 + 211 + 101 + 213 = 666.

It can be written as a sum of positive squares in only one way, i.e., 118262427771609 + 1938783329604 = 10874853^2 + 1392402^2 .

It is not a de Polignac number, because 120201211101213 - 218 = 120201210839069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201211101113) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55188801070 + ... + 55188803247.

Almost surely, 2120201211101213 is an apocalyptic number.

It is an amenable number.

120201211101213 is a deficient number, since it is larger than the sum of its proper divisors (70641666764609).

120201211101213 is a wasteful number, since it uses less digits than its factorization.

120201211101213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110377604345 (or 110377604331 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 120201211101213 its reverse (312101112102021), we get a palindrome (432302323203234).

The spelling of 120201211101213 in words is "one hundred twenty trillion, two hundred one billion, two hundred eleven million, one hundred one thousand, two hundred thirteen".

Divisors: 1 3 9 11 33 99 121 363 1089 110377604317 331132812951 993398438853 1214153647487 3642460942461 10927382827383 13355690122357 40067070367071 120201211101213