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2021200222002 = 2313177391922721
BaseRepresentation
bin11101011010011000111…
…010111101011100110010
321011020001220210201021120
4131122120322331130302
5231103404224101002
64144305423203110
7266012140263333
oct35323072753462
97136056721246
102021200222002
1170a205918415
1228787ba46496
131187a17b0530
146db8032228a
15378992c9cbc
hex1d698ebd732

2021200222002 has 128 divisors (see below), whose sum is σ = 4677867210240. Its totient is φ = 576653230080.

The previous prime is 2021200222001. The next prime is 2021200222039. The reversal of 2021200222002 is 2002220021202.

It is not an unprimeable number, because it can be changed into a prime (2021200222001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 88946002 + ... + 88968722.

It is an arithmetic number, because the mean of its divisors is an integer number (36545837580).

Almost surely, 22021200222002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021200222002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338933605120).

2021200222002 is an abundant number, since it is smaller than the sum of its proper divisors (2656666988238).

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

2021200222002 is a wasteful number, since it uses less digits than its factorization.

2021200222002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23748.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 2021200222002 its reverse (2002220021202), we get a palindrome (4023420243204).

The spelling of 2021200222002 in words is "two trillion, twenty-one billion, two hundred million, two hundred twenty-two thousand, two".

Divisors: 1 2 3 6 13 17 26 34 39 51 73 78 102 146 219 221 438 442 663 919 949 1241 1326 1838 1898 2482 2757 2847 3723 5514 5694 7446 11947 15623 16133 22721 23894 31246 32266 35841 45442 46869 48399 67087 68163 71682 93738 96798 134174 136326 201261 203099 295373 386257 402522 406198 590746 609297 772514 872131 886119 1140479 1158771 1218594 1658633 1744262 1772238 2280958 2317542 2616393 3317266 3421437 4975899 5021341 5232786 6842874 9951798 10042682 14826227 15064023 20880599 21562229 28196761 29652454 30128046 41761198 43124458 44478681 56393522 62641797 64686687 84590283 88957362 125283594 129373374 169180566 271447787 354970183 366557893 542895574 709940366 733115786 814343361 1064910549 1099673679 1524283727 1628686722 2129821098 2199347358 3048567454 4572851181 4614612379 9145702362 9229224758 13843837137 19815688451 25912823359 27687674274 39631376902 51825646718 59447065353 77738470077 118894130706 155476940154 336866703667 673733407334 1010600111001 2021200222002