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210220121212002 = 232112963571162743
BaseRepresentation
bin101111110011000110101111…
…101001100100010001100010
31000120022211212200202110202100
4233303012233221210101202
5210023221302012241002
62023033442424031230
762164621401262566
oct5763065751442142
91016284780673670
10210220121212002
1160a89941aa69a0
121b6b2099302516
13903b898270975
1439ca9cb26d6a6
151948493b6711c
hexbf31afa64462

210220121212002 has 96 divisors (see below), whose sum is σ = 497146576582656. Its totient is φ = 63669402050400.

The previous prime is 210220121211983. The next prime is 210220121212007. The reversal of 210220121212002 is 200212121022012.

It is a happy number.

210220121212002 is a `hidden beast` number, since 210 + 220 + 1 + 21 + 212 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (210220121212007) 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, 3350463843 + ... + 3350526585.

It is an arithmetic number, because the mean of its divisors is an integer number (5178610172736).

Almost surely, 2210220121212002 is an apocalyptic number.

210220121212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210220121212002 is an abundant number, since it is smaller than the sum of its proper divisors (286926455370654).

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

210220121212002 is a wasteful number, since it uses less digits than its factorization.

210220121212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71436 (or 71433 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 210220121212002 its reverse (200212121022012), we get a palindrome (410432242234014).

The spelling of 210220121212002 in words is "two hundred ten trillion, two hundred twenty billion, one hundred twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 2963 5711 5926 8889 11422 17133 17778 26667 32593 34266 51399 53334 62743 62821 65186 97779 102798 125486 125642 188229 188463 195558 293337 376458 376926 564687 565389 586674 690173 1129374 1130778 1380346 2070519 4141038 6211557 12423114 16921693 33843386 50765079 101530158 152295237 185907509 186138623 304590474 358325273 371815018 372277246 557722527 558415869 716650546 1074975819 1115445054 1116831738 1673167581 1675247607 2044982599 2149951638 3224927457 3346335162 3350495214 3941578003 4089965198 6134947797 6449854914 7883156006 11824734009 12269895594 18404843391 23649468018 35474202027 36809686782 70948404054 1061717783899 2123435567798 3185153351697 6370306703394 9555460055091 11678895622889 19110920110182 23357791245778 35036686868667 70073373737334 105110060606001 210220121212002