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10020022313200 = 2452298310407169
BaseRepresentation
bin1001000111001111011111…
…0111101110000011110000
31022110220102120202011000221
42101303313313232003300
52303132001203010300
633151045032422424
72052631331243254
oct221636767560360
938426376664027
1010020022313200
1132135164132a9
121159b45247a14
13578b65346423
14268d86382264
1512599cb1a31a
hex91cf7dee0f0

10020022313200 has 120 divisors (see below), whose sum is σ = 25203251732400. Its totient is φ = 3823177236480.

The previous prime is 10020022313159. The next prime is 10020022313201. The reversal of 10020022313200 is 231322002001.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020022313201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4240785 + ... + 6166384.

It is an arithmetic number, because the mean of its divisors is an integer number (210027097770).

Almost surely, 210020022313200 is an apocalyptic number.

10020022313200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020022313200 is an abundant number, since it is smaller than the sum of its proper divisors (15183229419200).

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

10020022313200 is a wasteful number, since it uses less digits than its factorization.

10020022313200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407299 (or 10407288 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10020022313200 its reverse (231322002001), we get a palindrome (10251344315201).

The spelling of 10020022313200 in words is "ten trillion, twenty billion, twenty-two million, three hundred thirteen thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 29 40 50 58 80 83 100 116 145 166 200 232 290 332 400 415 464 580 664 725 830 1160 1328 1450 1660 2075 2320 2407 2900 3320 4150 4814 5800 6640 8300 9628 11600 12035 16600 19256 24070 33200 38512 48140 60175 96280 120350 192560 240700 481400 962800 10407169 20814338 41628676 52035845 83257352 104071690 166514704 208143380 260179225 301807901 416286760 520358450 603615802 832573520 863795027 1040716900 1207231604 1509039505 1727590054 2081433800 2414463208 3018079010 3455180108 4162867600 4318975135 4828926416 6036158020 6910360216 7545197525 8637950270 12072316040 13820720432 15090395050 17275900540 21594875675 24144632080 25050055783 30180790100 34551801080 43189751350 50100111566 60361580200 69103602160 86379502700 100200223132 120723160400 125250278915 172759005400 200400446264 250500557830 345518010800 400800892528 501001115660 626251394575 1002002231320 1252502789150 2004004462640 2505005578300 5010011156600 10020022313200