Search a number
-
+
211311033030 = 23258926380903
BaseRepresentation
bin1100010011001100011…
…1100111101011000110
3202012102121222200211200
43010303013213223012
511430231111024110
6241024104443330
721160325100456
oct3046307475306
9665377880750
10211311033030
1181686629789
1234b53779546
1316c07808426
14a3283d7d66
15576b4a16c0
hex31331e7ac6

211311033030 has 48 divisors (see below), whose sum is σ = 555581838240. Its totient is φ = 55716465024.

The previous prime is 211311033007. The next prime is 211311033049. The reversal of 211311033030 is 30330113112.

It is a happy number.

211311033030 is a `hidden beast` number, since 21 + 1 + 311 + 0 + 330 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211311032994 and 211311033012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13182442 + ... + 13198461.

It is an arithmetic number, because the mean of its divisors is an integer number (11574621630).

Almost surely, 2211311033030 is an apocalyptic number.

211311033030 is an abundant number, since it is smaller than the sum of its proper divisors (344270805210).

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

211311033030 is a wasteful number, since it uses less digits than its factorization.

211311033030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26381005 (or 26381002 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 211311033030 its reverse (30330113112), we get a palindrome (241641146142).

The spelling of 211311033030 in words is "two hundred eleven billion, three hundred eleven million, thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 89 90 178 267 445 534 801 890 1335 1602 2670 4005 8010 26380903 52761806 79142709 131904515 158285418 237428127 263809030 395713545 474856254 791427090 1187140635 2347900367 2374281270 4695800734 7043701101 11739501835 14087402202 21131103303 23479003670 35218505505 42262206606 70437011010 105655516515 211311033030