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13030220204400 = 2435271551216691
BaseRepresentation
bin1011110110011101010110…
…1001011000100101110000
31201010200021110010222022010
42331213111221120211300
53201441342333020100
643414000040242520
72513255001164520
oct275472551304560
951120243128263
1013030220204400
1141740a3676633
121565416470440
1373698a85cc79
143309477d1680
15178e2c7ab750
hexbd9d5a58970

13030220204400 has 120 divisors (see below), whose sum is σ = 47703015712384. Its totient is φ = 2978336044800.

The previous prime is 13030220204389. The next prime is 13030220204483. The reversal of 13030220204400 is 440202203031.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 775599946 + ... + 775616745.

Almost surely, 213030220204400 is an apocalyptic number.

13030220204400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13030220204400 is an abundant number, since it is smaller than the sum of its proper divisors (34672795507984).

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

13030220204400 is a wasteful number, since it uses less digits than its factorization.

13030220204400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1551216719 (or 1551216708 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13030220204400 its reverse (440202203031), we get a palindrome (13470422407431).

The spelling of 13030220204400 in words is "thirteen trillion, thirty billion, two hundred twenty million, two hundred four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 1551216691 3102433382 4653650073 6204866764 7756083455 9307300146 10858516837 12409733528 15512166910 18614600292 21717033674 23268250365 24819467056 31024333820 32575550511 37229200584 38780417275 43434067348 46536500730 54292584185 62048667640 65151101022 74458401168 77560834550 86868134696 93073001460 108585168370 116341251825 124097335280 130302202044 155121669100 162877752555 173736269392 186146002920 217170336740 232682503650 260604404088 271462920925 310243338200 325755505110 372292005840 434340673480 465365007300 521208808176 542925841850 620486676400 651511010220 814388762775 868681346960 930730014600 1085851683700 1303022020440 1628777525550 1861460029200 2171703367400 2606044040880 3257555051100 4343406734800 6515110102200 13030220204400