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2120110221300 = 22352311369116651
BaseRepresentation
bin11110110110100000011…
…010101010011111110100
321111200101010102021122220
4132312200122222133310
5234213441204040200
64301544251522340
7306113210353251
oct36664032523764
97450333367586
102120110221300
11748151a48895
122a2a847593b0
13124c05530736
14748846c8428
153a2379a64a0
hex1eda06aa7f4

2120110221300 has 144 divisors (see below), whose sum is σ = 6332905334784. Its totient is φ = 547052400000.

The previous prime is 2120110221263. The next prime is 2120110221323. The reversal of 2120110221300 is 31220110212.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2120110221300.

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 47 ways as a sum of consecutive naturals, for example, 127317975 + ... + 127334625.

Almost surely, 22120110221300 is an apocalyptic number.

2120110221300 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 2120110221300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166452667392).

2120110221300 is an abundant number, since it is smaller than the sum of its proper divisors (4212795113484).

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

2120110221300 is a wasteful number, since it uses less digits than its factorization.

2120110221300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30390 (or 30383 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2120110221300 its reverse (31220110212), we get a palindrome (2151330331512).

The spelling of 2120110221300 in words is "two trillion, one hundred twenty billion, one hundred ten million, two hundred twenty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 4650 9300 13691 16651 27382 33302 41073 49953 54764 66604 68455 82146 83255 99906 136910 164292 166510 199812 205365 249765 273820 333020 342275 410730 416275 424421 499530 516181 684550 821460 832550 848842 999060 1026825 1032362 1248825 1273263 1369100 1548543 1665100 1697684 2053650 2064724 2122105 2497650 2546526 2580905 3097086 4107300 4244210 4995300 5093052 5161810 6194172 6366315 7742715 8488420 10323620 10610525 12732630 12904525 15485430 21221050 25465260 25809050 30970860 31831575 38713575 42442100 51618100 63663150 77427150 127326300 154854300 227968841 455937682 683906523 911875364 1139844205 1367813046 2279688410 2735626092 3419532615 4559376820 5699221025 6839065230 7067034071 11398442050 13678130460 14134068142 17097663075 21201102213 22796884100 28268136284 34195326150 35335170355 42402204426 68390652300 70670340710 84804408852 106005511065 141340681420 176675851775 212011022130 353351703550 424022044260 530027555325 706703407100 1060055110650 2120110221300