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211213110031 = 7112325185307
BaseRepresentation
bin1100010010110101001…
…0000100101100001111
3202012011210201200201221
43010231102010230033
511430031024010111
6241010245544211
721155025545620
oct3045522045417
9665153650657
10211213110031
1181636326790
1234b26a15067
1316bc0441121
14a3193c7a47
155762aac371
hex312d484b0f

211213110031 has 24 divisors (see below), whose sum is σ = 275277631104. Its totient is φ = 157425890160.

The previous prime is 211213110001. The next prime is 211213110067. The reversal of 211213110031 is 130011312112.

It is a happy number.

It is not a de Polignac number, because 211213110031 - 29 = 211213109519 is a prime.

It is a super-2 number, since 2×2112131100312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211213109987 and 211213110014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211213110001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2551921 + ... + 2633386.

It is an arithmetic number, because the mean of its divisors is an integer number (11469901296).

Almost surely, 2211213110031 is an apocalyptic number.

211213110031 is a deficient number, since it is larger than the sum of its proper divisors (64064521073).

211213110031 is a wasteful number, since it uses less digits than its factorization.

211213110031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5185371 (or 5185348 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 211213110031 its reverse (130011312112), we get a palindrome (341224422143).

The spelling of 211213110031 in words is "two hundred eleven billion, two hundred thirteen million, one hundred ten thousand, thirty-one".

Divisors: 1 7 11 23 77 161 253 529 1771 3703 5819 40733 5185307 36297149 57038377 119262061 399268639 834834427 1311882671 2743027403 9183178697 19201191821 30173301433 211213110031