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31112312211 = 32371076611321
BaseRepresentation
bin11100111110011100…
…000011010110010011
32222022021022012212200
4130332130003112103
51002204222442321
622143124454243
72150664201411
oct347634032623
988267265780
1031112312211
11122160a8722
12604354a383
132c1a966bc6
1417120702b1
15c215e2d26
hex73e703593

31112312211 has 48 divisors (see below), whose sum is σ = 46691749728. Its totient is φ = 19946995200.

The previous prime is 31112312201. The next prime is 31112312233. The reversal of 31112312211 is 11221321113.

31112312211 is a `hidden beast` number, since 31 + 112 + 312 + 211 = 666.

It is not a de Polignac number, because 31112312211 - 222 = 31108117907 is a prime.

It is a super-2 number, since 2×311123122112 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (31112312201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23551431 + ... + 23552751.

It is an arithmetic number, because the mean of its divisors is an integer number (972744786).

Almost surely, 231112312211 is an apocalyptic number.

31112312211 is a deficient number, since it is larger than the sum of its proper divisors (15579437517).

31112312211 is a wasteful number, since it uses less digits than its factorization.

31112312211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2129 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 31112312211 its reverse (11221321113), we get a palindrome (42333633324).

The spelling of 31112312211 in words is "thirty-one billion, one hundred twelve million, three hundred twelve thousand, two hundred eleven".

Divisors: 1 3 9 37 107 111 321 333 661 963 1321 1983 3959 3963 5949 11877 11889 24457 35631 48877 70727 73371 141347 146631 212181 220113 424041 439893 636543 873181 1272123 2616899 2619543 5229839 7850697 7858629 15689517 23552091 32307697 47068551 93430367 96923091 280291101 290769273 840873303 3456923579 10370770737 31112312211