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10002030031200 = 253524788670479
BaseRepresentation
bin1001000110001100011101…
…1100100111000101100000
31022102011222200002112010010
42101203013130213011200
52302333124141444300
633134511423404520
72051423425334514
oct221430734470540
938364880075103
1010002030031200
113206923222559
121156563753740
135772588b8b0c
1426815a9a4144
15125298288a50
hex918c7727160

10002030031200 has 144 divisors (see below), whose sum is σ = 33249301908480. Its totient is φ = 2610458872320.

The previous prime is 10002030031163. The next prime is 10002030031219. The reversal of 10002030031200 is 213003020001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44222440 + ... + 44448039.

It is an arithmetic number, because the mean of its divisors is an integer number (230897929920).

Almost surely, 210002030031200 is an apocalyptic number.

10002030031200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002030031200 is an abundant number, since it is smaller than the sum of its proper divisors (23247271877280).

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

10002030031200 is a wasteful number, since it uses less digits than its factorization.

10002030031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88670549 (or 88670536 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10002030031200 its reverse (213003020001), we get a palindrome (10215033051201).

The spelling of 10002030031200 in words is "ten trillion, two billion, thirty million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 47 48 50 60 75 80 94 96 100 120 141 150 160 188 200 235 240 282 300 376 400 470 480 564 600 705 752 800 940 1128 1175 1200 1410 1504 1880 2256 2350 2400 2820 3525 3760 4512 4700 5640 7050 7520 9400 11280 14100 18800 22560 28200 37600 56400 112800 88670479 177340958 266011437 354681916 443352395 532022874 709363832 886704790 1064045748 1330057185 1418727664 1773409580 2128091496 2216761975 2660114370 2837455328 3546819160 4167512513 4256182992 4433523950 5320228740 6650285925 7093638320 8335025026 8512365984 8867047900 10640457480 12502537539 13300571850 14187276640 16670050052 17734095800 20837562565 21280914960 25005075078 26601143700 33340100104 35468191600 41675125130 42561829920 50010150156 53202287400 62512687695 66680200208 70936383200 83350250260 100020300312 104187812825 106404574800 125025375390 133360400416 166700500520 200040600624 208375625650 212809149600 250050750780 312563438475 333401001040 400081201248 416751251300 500101501560 625126876950 666802002080 833502502600 1000203003120 1250253753900 1667005005200 2000406006240 2500507507800 3334010010400 5001015015600 10002030031200