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212121211020984 = 2332171468311802877
BaseRepresentation
bin110000001110110001010001…
…011011101010011010111000
31000211001120220220122000100100
4300032301101123222122320
5210300343220010132414
62031051050012235400
762452152232112046
oct6016612133523270
91024046826560310
10212121211020984
11616521116a6261
121b95a61846bb60
139148c37a18795
143a54a15707396
15197cb5d42b609
hexc0ec516ea6b8

212121211020984 has 96 divisors (see below), whose sum is σ = 608330246537520. Its totient is φ = 66543292965888.

The previous prime is 212121211020889. The next prime is 212121211021019. The reversal of 212121211020984 is 489020112121212.

212121211020984 is a `hidden beast` number, since 2 + 121 + 212 + 110 + 209 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 12070554 + ... + 23873430.

Almost surely, 2212121211020984 is an apocalyptic number.

212121211020984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212121211020984 is an abundant number, since it is smaller than the sum of its proper divisors (396209035516536).

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

212121211020984 is a wasteful number, since it uses less digits than its factorization.

212121211020984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11817589 (or 11817582 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 212121211020984 in words is "two hundred twelve trillion, one hundred twenty-one billion, two hundred eleven million, twenty thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 14683 29366 44049 58732 88098 117464 132147 176196 249611 264294 352392 499222 528588 748833 998444 1057176 1497666 1996888 2246499 2995332 4492998 5990664 8985996 11802877 17971992 23605754 35408631 47211508 70817262 94423016 106225893 141634524 200648909 212451786 283269048 401297818 424903572 601946727 802595636 849807144 1203893454 1605191272 1805840181 2407786908 3611680362 4815573816 7223360724 14446721448 173301642991 346603285982 519904928973 693206571964 1039809857946 1386413143928 1559714786919 2079619715892 2946127930847 3119429573838 4159239431784 5892255861694 6238859147676 8838383792541 11784511723388 12477718295352 17676767585082 23569023446776 26515151377623 35353535170164 53030302755246 70707070340328 106060605510492 212121211020984