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211332311111313 = 3277147246213081
BaseRepresentation
bin110000000011010010100011…
…010101010101011010010001
31000201021011122010021021201100
4300003102203111111122101
5210144432033121030223
62025244420133255013
762341153451402310
oct6003224325253221
91021234563237640
10211332311111313
1161378591222737
121b85174b494469
1390bc72263c3c2
143a28777668277
15196738989a043
hexc034a3555691

211332311111313 has 24 divisors (see below), whose sum is σ = 353779643558016. Its totient is φ = 119060456961600.

The previous prime is 211332311111309. The next prime is 211332311111333. The reversal of 211332311111313 is 313111113233112.

211332311111313 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 231 + 1 + 111 + 313 = 666.

It is not a de Polignac number, because 211332311111313 - 22 = 211332311111309 is a prime.

It is a super-2 number, since 2×2113323111113132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211332311111333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23623102068 + ... + 23623111013.

It is an arithmetic number, because the mean of its divisors is an integer number (14740818481584).

Almost surely, 2211332311111313 is an apocalyptic number.

It is an amenable number.

211332311111313 is a deficient number, since it is larger than the sum of its proper divisors (142447332446703).

211332311111313 is a wasteful number, since it uses less digits than its factorization.

211332311111313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47246213165 (or 47246213162 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

Adding to 211332311111313 its reverse (313111113233112), we get a palindrome (524443424344425).

The spelling of 211332311111313 in words is "two hundred eleven trillion, three hundred thirty-two billion, three hundred eleven million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 63 71 213 497 639 1491 4473 47246213081 141738639243 330723491567 425215917729 992170474701 2976511424103 3354481128751 10063443386253 23481367901257 30190330158759 70444103703771 211332311111313