Search a number
-
+
113020201111221 = 32371204928168313
BaseRepresentation
bin11001101100101010010000…
…111100001000111010110101
3112211011121220010202211112200
4121230222100330020322311
5104303210332441024341
61040212432535135113
732543303641423635
oct3154522074107265
9484147803684480
10113020201111221
1133014664107808
12108140a4814499
134b0a9b4061cc1
141dca2c7b106c5
15d0edac69adb6
hex66ca90f08eb5

113020201111221 has 24 divisors (see below), whose sum is σ = 167677522747800. Its totient is φ = 73304313762816.

The previous prime is 113020201111187. The next prime is 113020201111229. The reversal of 113020201111221 is 122111102020311.

It is a happy number.

113020201111221 is a `hidden beast` number, since 1 + 130 + 2 + 0 + 201 + 111 + 221 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 42135352880625 + 70884848230596 = 6491175^2 + 8419314^2 .

It is not a de Polignac number, because 113020201111221 - 29 = 113020201110709 is a prime.

It is a super-2 number, since 2×1130202011112212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 113020201111194 and 113020201111203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113020201111229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10071840 + ... + 18096473.

It is an arithmetic number, because the mean of its divisors is an integer number (6986563447825).

Almost surely, 2113020201111221 is an apocalyptic number.

It is an amenable number.

113020201111221 is a deficient number, since it is larger than the sum of its proper divisors (54657321636579).

113020201111221 is a wasteful number, since it uses less digits than its factorization.

113020201111221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28180405 (or 28180402 counting only the distinct ones).

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

Adding to 113020201111221 its reverse (122111102020311), we get a palindrome (235131303131532).

The spelling of 113020201111221 in words is "one hundred thirteen trillion, twenty billion, two hundred one million, one hundred eleven thousand, two hundred twenty-one".

Divisors: 1 3 9 37 111 333 12049 36147 108441 445813 1337439 4012317 28168313 84504939 253514817 1042227581 3126682743 9380048229 339400003337 1018200010011 3054600030033 12557800123469 37673400370407 113020201111221