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2021121210330 = 23251131009196961
BaseRepresentation
bin11101011010010100001…
…101100011011111011010
321011012212102010111122100
4131122110031203133122
5231103224012212310
64144253521504230
7266010160554525
oct35322415433732
97135772114570
102021121210330
1170a175261812
122878594a2076
1311878b307c71
146db73a35bbc
15378923bdec0
hex1d6943637da

2021121210330 has 96 divisors (see below), whose sum is σ = 5306699895120. Its totient is φ = 533663907840.

The previous prime is 2021121210323. The next prime is 2021121210347. The reversal of 2021121210330 is 330121211202.

2021121210330 is a `hidden beast` number, since 2 + 0 + 2 + 1 + 121 + 210 + 330 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3565164681 + 2017556045649 = 59709^2 + 1420407^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 10163050 + ... + 10360010.

Almost surely, 22021121210330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2021121210330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653349947560).

2021121210330 is an abundant number, since it is smaller than the sum of its proper divisors (3285578684790).

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

2021121210330 is a wasteful number, since it uses less digits than its factorization.

2021121210330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198096 (or 198093 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2021121210330 its reverse (330121211202), we get a palindrome (2351242421532).

The spelling of 2021121210330 in words is "two trillion, twenty-one billion, one hundred twenty-one million, two hundred ten thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 113 226 339 565 678 1009 1017 1130 1695 2018 2034 3027 3390 5045 5085 6054 9081 10090 10170 15135 18162 30270 45405 90810 114017 196961 228034 342051 393922 570085 590883 684102 984805 1026153 1140170 1181766 1710255 1772649 1969610 2052306 2954415 3420510 3545298 5130765 5908830 8863245 10261530 17726490 22256593 44513186 66769779 111282965 133539558 198733649 200309337 222565930 333848895 397467298 400618674 596200947 667697790 993668245 1001546685 1192401894 1788602841 1987336490 2003093370 2981004735 3577205682 5962009470 8943014205 17886028410 22456902337 44913804674 67370707011 112284511685 134741414022 202112121033 224569023370 336853535055 404224242066 673707070110 1010560605165 2021121210330