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211133012320 = 25517701110731
BaseRepresentation
bin1100010010100010000…
…0100001100101100000
3202011222020000022100001
43010220200201211200
511424400022343240
6240554305105344
721153033664606
oct3045040414540
9664866008301
10211133012320
11815a509912a
1234b04028254
1316ba9978429
14a30c8d7876
15575aa3989a
hex3128821960

211133012320 has 96 divisors (see below), whose sum is σ = 528901210656. Its totient is φ = 79371264000.

The previous prime is 211133012287. The next prime is 211133012327. The reversal of 211133012320 is 23210331112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211133012327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1851355 + ... + 1962085.

It is an arithmetic number, because the mean of its divisors is an integer number (5509387611).

Almost surely, 2211133012320 is an apocalyptic number.

211133012320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211133012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264450605328).

211133012320 is an abundant number, since it is smaller than the sum of its proper divisors (317768198336).

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

211133012320 is a wasteful number, since it uses less digits than its factorization.

211133012320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111464 (or 111456 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 211133012320 its reverse (23210331112), we get a palindrome (234343343432).

The spelling of 211133012320 in words is "two hundred eleven billion, one hundred thirty-three million, twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 701 1360 1402 2720 2804 3505 5608 7010 11216 11917 14020 22432 23834 28040 47668 56080 59585 95336 110731 112160 119170 190672 221462 238340 381344 442924 476680 553655 885848 953360 1107310 1771696 1882427 1906720 2214620 3543392 3764854 4429240 7529708 8858480 9412135 15059416 17716960 18824270 30118832 37648540 60237664 75297080 77622431 150594160 155244862 301188320 310489724 388112155 620979448 776224310 1241958896 1319581327 1552448620 2483917792 2639162654 3104897240 5278325308 6209794480 6597906635 10556650616 12419588960 13195813270 21113301232 26391626540 42226602464 52783253080 105566506160 211133012320