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2122200212010 = 235616721182031
BaseRepresentation
bin11110111000011100111…
…111010110001000101010
321111212202210002210221020
4132320130333112020222
5234232231223241020
64302531511353310
7306216046111524
oct36703477261052
97455683083836
102122200212010
1174902476a83a
122a3368682836
13125179525728
1474a020caa14
153a30b1e2c40
hex1ee1cfd622a

2122200212010 has 128 divisors (see below), whose sum is σ = 5279007264768. Its totient is φ = 545729184000.

The previous prime is 2122200212003. The next prime is 2122200212059. The reversal of 2122200212010 is 102120022212.

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

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 63 ways as a sum of consecutive naturals, for example, 25829695 + ... + 25911725.

It is an arithmetic number, because the mean of its divisors is an integer number (41242244256).

Almost surely, 22122200212010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122200212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639503632384).

2122200212010 is an abundant number, since it is smaller than the sum of its proper divisors (3156807052758).

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

2122200212010 is a wasteful number, since it uses less digits than its factorization.

2122200212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82380.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 2122200212010 its reverse (102120022212), we get a palindrome (2224320234222).

The spelling of 2122200212010 in words is "two trillion, one hundred twenty-two billion, two hundred million, two hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 67 122 134 183 201 211 305 335 366 402 422 610 633 670 915 1005 1055 1266 1830 2010 2110 3165 4087 6330 8174 12261 12871 14137 20435 24522 25742 28274 38613 40870 42411 61305 64355 70685 77226 82031 84822 122610 128710 141370 164062 193065 212055 246093 386130 410155 424110 492186 820310 862357 1230465 1724714 2460930 2587071 4311785 5003891 5174142 5496077 8623570 10007782 10992154 12935355 15011673 16488231 17308541 25019455 25870710 27480385 30023346 32976462 34617082 50038910 51925623 54960770 75058365 82441155 86542705 103851246 150116730 164882310 173085410 259628115 335260697 519256230 670521394 1005782091 1055821001 1159672247 1676303485 2011564182 2111642002 2319344494 3167463003 3352606970 3479016741 5028910455 5279105005 5798361235 6334926006 6958033482 10057820910 10558210010 11596722470 15837315015 17395083705 31674630030 34790167410 70740007067 141480014134 212220021201 353700035335 424440042402 707400070670 1061100106005 2122200212010