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211311000312 = 23371124008803
BaseRepresentation
bin1100010011001100011…
…1011111101011111000
3202012102121221000221220
43010303013133223320
511430231104002222
6241024104032040
721160324603206
oct3046307375370
9665377830856
10211311000312
1181686607145
1234b53762620
1316c077c6579
14a3283ca076
15576b496b5c
hex31331dfaf8

211311000312 has 32 divisors (see below), whose sum is σ = 535718033280. Its totient is φ = 69444929120.

The previous prime is 211311000223. The next prime is 211311000319. The reversal of 211311000312 is 213000113112.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 211311000291 and 211311000300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211311000319) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62002698 + ... + 62006105.

It is an arithmetic number, because the mean of its divisors is an integer number (16741188540).

Almost surely, 2211311000312 is an apocalyptic number.

It is an amenable number.

211311000312 is an abundant number, since it is smaller than the sum of its proper divisors (324407032968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

211311000312 is a wasteful number, since it uses less digits than its factorization.

211311000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124008883 (or 124008879 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211311000312 its reverse (213000113112), we get a palindrome (424311113424).

The spelling of 211311000312 in words is "two hundred eleven billion, three hundred eleven million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 71 142 213 284 426 568 852 1704 124008803 248017606 372026409 496035212 744052818 992070424 1488105636 2976211272 8804625013 17609250026 26413875039 35218500052 52827750078 70437000104 105655500156 211311000312