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211323311031 = 3731324613381
BaseRepresentation
bin1100010011001111011…
…0011101001110110111
3202012110111002111002110
43010303312131032313
511430242231423111
6241025223542103
721160534335420
oct3046366351667
9665414074073
10211323311031
1181692555398
1234b578ba933
1316c0a216b11
14a329cb2647
15576c5c95a6
hex3133d9d3b7

211323311031 has 16 divisors (see below), whose sum is σ = 332404103168. Its totient is φ = 116860816800.

The previous prime is 211323311029. The next prime is 211323311131. The reversal of 211323311031 is 130113323112.

It is a happy number.

It is not a de Polignac number, because 211323311031 - 21 = 211323311029 is a prime.

It is a super-2 number, since 2×2113233110312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211323310989 and 211323311007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211323311131) 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 15 ways as a sum of consecutive naturals, for example, 162306040 + ... + 162307341.

It is an arithmetic number, because the mean of its divisors is an integer number (20775256448).

Almost surely, 2211323311031 is an apocalyptic number.

211323311031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211323311031 is a deficient number, since it is larger than the sum of its proper divisors (121080792137).

211323311031 is a wasteful number, since it uses less digits than its factorization.

211323311031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324613422.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 211323311031 its reverse (130113323112), we get a palindrome (341436634143).

The spelling of 211323311031 in words is "two hundred eleven billion, three hundred twenty-three million, three hundred eleven thousand, thirty-one".

Divisors: 1 3 7 21 31 93 217 651 324613381 973840143 2272293667 6816881001 10063014811 30189044433 70441103677 211323311031