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210220200022122 = 2322315726312297553
BaseRepresentation
bin101111110011000110110100…
…010110001101000001101010
31000120022212002012001102220200
4233303012310112031001222
5210023221432201201442
62023033454321133030
762164623346201653
oct5763066426150152
91016285065042820
10210220200022122
1160a89982535124
121b6b20bb78a176
13903b8ab6a5584
1439ca9d790652a
15194849aa3334c
hexbf31b458d06a

210220200022122 has 96 divisors (see below), whose sum is σ = 480126415811328. Its totient is φ = 66346571985408.

The previous prime is 210220200022121. The next prime is 210220200022127. The reversal of 210220200022122 is 221220002022012.

210220200022122 is a `hidden beast` number, since 2 + 1 + 0 + 220 + 200 + 0 + 221 + 22 = 666.

210220200022122 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 210220200022095 and 210220200022104.

It is not an unprimeable number, because it can be changed into a prime (210220200022121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10945698 + ... + 23243250.

It is an arithmetic number, because the mean of its divisors is an integer number (5001316831368).

Almost surely, 2210220200022122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210220200022122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240063207905664).

210220200022122 is an abundant number, since it is smaller than the sum of its proper divisors (269906215789206).

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

210220200022122 is a wasteful number, since it uses less digits than its factorization.

210220200022122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12298004 (or 12298001 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 210220200022122 its reverse (221220002022012), we get a palindrome (431440202044134).

The spelling of 210220200022122 in words is "two hundred ten trillion, two hundred twenty billion, two hundred million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 46 69 138 157 207 263 314 414 471 526 789 942 1413 1578 2367 2826 3611 4734 6049 7222 10833 12098 18147 21666 32499 36294 41291 54441 64998 82582 108882 123873 247746 371619 743238 949693 1899386 2849079 5698158 8547237 12297553 17094474 24595106 36892659 73785318 110677977 221355954 282843719 565687438 848531157 1697062314 1930715821 2545593471 3234256439 3861431642 5091186942 5792147463 6468512878 9702769317 11584294926 17376442389 19405538634 29108307951 34752884778 44406463883 58216615902 74387898097 88812927766 133219391649 148775796194 223163694291 266438783298 399658174947 446327388582 507778260923 669491082873 799316349894 1015556521846 1338982165746 1523334782769 3046669565538 4570004348307 9140008696614 11678900001229 23357800002458 35036700003687 70073400007374 105110100011061 210220200022122