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212623801120 = 2555476833557
BaseRepresentation
bin1100011000000101011…
…1011011101100100000
3202022211010012020010001
43012001113123230200
511440423143113440
6241402241545344
721235005326623
oct3060127335440
9668733166101
10212623801120
118219a657895
123525b345254
1317086793b93
14a4108bddba
1557e6864b9a
hex31815dbb20

212623801120 has 96 divisors (see below), whose sum is σ = 504120552768. Its totient is φ = 84745909248.

The previous prime is 212623801111. The next prime is 212623801127. The reversal of 212623801120 is 21108326212.

It is not an unprimeable number, because it can be changed into a prime (212623801127) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 59774382 + ... + 59777938.

It is an arithmetic number, because the mean of its divisors is an integer number (5251255758).

Almost surely, 2212623801120 is an apocalyptic number.

212623801120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212623801120 is an abundant number, since it is smaller than the sum of its proper divisors (291496751648).

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

212623801120 is a wasteful number, since it uses less digits than its factorization.

212623801120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4802 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 212623801120 in words is "two hundred twelve billion, six hundred twenty-three million, eight hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 547 683 1094 1366 2188 2732 2735 3415 3557 4376 5464 5470 6830 7114 8752 10928 10940 13660 14228 17504 17785 21856 21880 27320 28456 35570 43760 54640 56912 71140 87520 109280 113824 142280 284560 373601 569120 747202 1494404 1868005 1945679 2429431 2988808 3736010 3891358 4858862 5977616 7472020 7782716 9717724 9728395 11955232 12147155 14944040 15565432 19435448 19456790 24294310 29888080 31130864 38870896 38913580 48588620 59776160 62261728 77741792 77827160 97177240 155654320 194354480 311308640 388708960 1328898757 2657797514 5315595028 6644493785 10631190056 13288987570 21262380112 26577975140 42524760224 53155950280 106311900560 212623801120