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211242034300 = 2252111257715269
BaseRepresentation
bin1100010010111100000…
…0011010010001111100
3202012020211011012101011
43010233000122101330
511430110430044200
6241013201525004
721155526444133
oct3045700322174
9665224135334
10211242034300
1181650691a40
1234b34643764
1316bc642a58b
14a31d19691a
1557653c25ba
hex312f01a47c

211242034300 has 72 divisors (see below), whose sum is σ = 500140020240. Its totient is φ = 76804147200.

The previous prime is 211242034273. The next prime is 211242034313. The reversal of 211242034300 is 3430242112.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 13827066 + ... + 13842334.

It is an arithmetic number, because the mean of its divisors is an integer number (6946389170).

Almost surely, 2211242034300 is an apocalyptic number.

211242034300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211242034300 is an abundant number, since it is smaller than the sum of its proper divisors (288897985940).

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

211242034300 is a wasteful number, since it uses less digits than its factorization.

211242034300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27871 (or 27864 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 211242034300 its reverse (3430242112), we get a palindrome (214672276412).

The spelling of 211242034300 in words is "two hundred eleven billion, two hundred forty-two million, thirty-four thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 12577 15269 25154 30538 50308 61076 62885 76345 125770 138347 152690 167959 251540 276694 305380 314425 335918 381725 553388 628850 671836 691735 763450 839795 1257700 1383470 1526900 1679590 2766940 3359180 3458675 4198975 6917350 8397950 13834700 16795900 192038213 384076426 768152852 960191065 1920382130 2112420343 3840764260 4224840686 4800955325 8449681372 9601910650 10562101715 19203821300 21124203430 42248406860 52810508575 105621017150 211242034300