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210022121212002 = 233112017317527021
BaseRepresentation
bin101111110000001110010101…
…111011100000100001100010
31000112121220210201211022111000
4233300032111323200201202
5210012000301012241002
62022402455220532430
762144411644120431
oct5760162573404142
91015556721738430
10210022121212002
1160a12977182360
121b67b83b551116
1390260023c8b58
1439c11a6a47118
1519432560a561c
hexbf0395ee0862

210022121212002 has 64 divisors (see below), whose sum is σ = 509169804232320. Its totient is φ = 63639908539200.

The previous prime is 210022121211983. The next prime is 210022121212081. The reversal of 210022121212002 is 200212121220012.

It is a happy number.

210022121212002 is a `hidden beast` number, since 210 + 0 + 221 + 21 + 212 + 0 + 0 + 2 = 666.

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 31 ways as a sum of consecutive naturals, for example, 3219252 + ... + 20746272.

It is an arithmetic number, because the mean of its divisors is an integer number (7955778191130).

Almost surely, 2210022121212002 is an apocalyptic number.

210022121212002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

210022121212002 is an abundant number, since it is smaller than the sum of its proper divisors (299147683020318).

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

210022121212002 is a wasteful number, since it uses less digits than its factorization.

210022121212002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17547216 (or 17547210 counting only the distinct ones).

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

Adding to 210022121212002 its reverse (200212121220012), we get a palindrome (410234242432014).

The spelling of 210022121212002 in words is "two hundred ten trillion, twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 20173 40346 60519 121038 181557 221903 363114 443806 544671 665709 1089342 1331418 1997127 3994254 5991381 11982762 17527021 35054042 52581063 105162126 157743189 192797231 315486378 385594462 473229567 578391693 946459134 1156783386 1735175079 3470350158 5205525237 10411050474 353572594633 707145189266 1060717783899 2121435567798 3182153351697 3889298540963 6364306703394 7778597081926 9546460055091 11667895622889 19092920110182 23335791245778 35003686868667 70007373737334 105011060606001 210022121212002