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2121030013300 = 225211137120111719
BaseRepresentation
bin11110110111010111001…
…111011001000101110100
321111202202020011120002021
4132313113033121011310
5234222332140411200
64302215430122524
7306145046433502
oct36672717310564
97452666146067
102121030013300
11748584169170
122a30a07b0444
13125020c66963
1474930917672
153a28d5e241a
hex1edd73d9174

2121030013300 has 144 divisors (see below), whose sum is σ = 5062349738880. Its totient is φ = 764951040000.

The previous prime is 2121030013213. The next prime is 2121030013327. The reversal of 2121030013300 is 33100301212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 180984841 + ... + 180996559.

It is an arithmetic number, because the mean of its divisors is an integer number (35155206520).

Almost surely, 22121030013300 is an apocalyptic number.

2121030013300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121030013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2531174869440).

2121030013300 is an abundant number, since it is smaller than the sum of its proper divisors (2941319725580).

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

2121030013300 is a wasteful number, since it uses less digits than its factorization.

2121030013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13082 (or 13075 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 2121030013300 its reverse (33100301212), we get a palindrome (2154130314512).

The spelling of 2121030013300 in words is "two trillion, one hundred twenty-one billion, thirty million, thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 137 220 274 275 548 550 685 1100 1201 1370 1507 2402 2740 3014 3425 4804 6005 6028 6850 7535 11719 12010 13211 13700 15070 23438 24020 26422 30025 30140 37675 46876 52844 58595 60050 66055 75350 117190 120100 128909 132110 150700 164537 234380 257818 264220 292975 329074 330275 515636 585950 644545 658148 660550 822685 1171900 1289090 1321100 1605503 1645370 1809907 2578180 3211006 3222725 3290740 3619814 4113425 6422012 6445450 7239628 8027515 8226850 9049535 12890900 14074519 16055030 16453700 17660533 18099070 28149038 32110060 35321066 36198140 40137575 45247675 56298076 70372595 70642132 80275150 88302665 90495350 140745190 154819709 160550300 176605330 180990700 281490380 309639418 351862975 353210660 441513325 619278836 703725950 774098545 883026650 1407451900 1548197090 1766053300 1928209103 3096394180 3856418206 3870492725 7712836412 7740985450 9641045515 15481970900 19282091030 21210300133 38564182060 42420600266 48205227575 84841200532 96410455150 106051500665 192820910300 212103001330 424206002660 530257503325 1060515006650 2121030013300