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211332113031231 = 33171424932312341
BaseRepresentation
bin110000000011010010010111…
…100001101110000000111111
31000201021011010022112202221000
4300003102113201232000333
5210144431131413444411
62025244344335541343
762341145524632333
oct6003222741560077
91021234108482830
10211332113031231
116137849a431195
121b8516b508a853
1390bc6c05a7c5a
143a287592257c3
1519673772be956
hexc0349786e03f

211332113031231 has 32 divisors (see below), whose sum is σ = 331524628920000. Its totient is φ = 132591231452160.

The previous prime is 211332113031227. The next prime is 211332113031287. The reversal of 211332113031231 is 132130311233112.

211332113031231 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 321 + 1 + 303 + 1 + 2 + 31 = 666.

It is not a de Polignac number, because 211332113031231 - 22 = 211332113031227 is a prime.

It is a super-2 number, since 2×2113321130312312 (a number of 29 digits) contains 22 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 = 211332113031195 and 211332113031204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211332113030231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9615880 + ... + 22696461.

It is an arithmetic number, because the mean of its divisors is an integer number (10360144653750).

Almost surely, 2211332113031231 is an apocalyptic number.

211332113031231 is a deficient number, since it is larger than the sum of its proper divisors (120192515888769).

211332113031231 is a wasteful number, since it uses less digits than its factorization.

211332113031231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32326616 (or 32326610 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 211332113031231 its reverse (132130311233112), we get a palindrome (343462424264343).

The spelling of 211332113031231 in words is "two hundred eleven trillion, three hundred thirty-two billion, one hundred thirteen million, thirty-one thousand, two hundred thirty-one".

Divisors: 1 3 9 17 27 51 153 459 14249 42747 128241 242233 384723 726699 2180097 6540291 32312341 96937023 290811069 549309797 872433207 1647929391 4943788173 14831364519 460418546909 1381255640727 4143766922181 7827115297453 12431300766543 23481345892359 70444037677077 211332113031231