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212411324202021 = 327331877115110091
BaseRepresentation
bin110000010010111111011101…
…100001100111110000100101
31000212002022202101202121011100
4300102333131201213300211
5210320121342443431041
62031432225404430313
762512132425343350
oct6022773541476045
91025068671677140
10212411324202021
1161754155a6209a
121b9a68a2848399
13916a3c0437149
143a64a97749297
15198548cb376b6
hexc12fdd867c25

212411324202021 has 96 divisors (see below), whose sum is σ = 352448494534656. Its totient is φ = 120756232080000.

The previous prime is 212411324201963. The next prime is 212411324202211. The reversal of 212411324202021 is 120202423114212.

212411324202021 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 1 + 1 + 32 + 420 + 202 + 1 = 666.

It is not a de Polignac number, because 212411324202021 - 210 = 212411324200997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212411324282021) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21049576186 + ... + 21049586276.

It is an arithmetic number, because the mean of its divisors is an integer number (3671338484736).

Almost surely, 2212411324202021 is an apocalyptic number.

212411324202021 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

212411324202021 is a deficient number, since it is larger than the sum of its proper divisors (140037170332635).

212411324202021 is a wasteful number, since it uses less digits than its factorization.

212411324202021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12463 (or 12460 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 212411324202021 its reverse (120202423114212), we get a palindrome (332613747316233).

The spelling of 212411324202021 in words is "two hundred twelve trillion, four hundred eleven billion, three hundred twenty-four million, two hundred two thousand, twenty-one".

Divisors: 1 3 7 9 21 63 331 877 993 1151 2317 2631 2979 3453 6139 6951 7893 8057 10091 10359 18417 20853 24171 30273 55251 70637 72513 90819 211911 290287 380981 635733 870861 1009427 1142943 2032009 2612583 2666867 3028281 3340121 3428829 6096027 7065989 8000601 8849807 9084843 10020363 11614741 18288081 21197967 23380847 24001803 26549421 30061089 34844223 61948649 63593901 70142541 79648263 81303187 104532669 185845947 210427623 243909561 334120337 557537841 731728683 1002361011 2338842359 2929286117 3007083033 3844479271 7016527077 8787858351 10186127857 11533437813 20505002819 21049581231 26363575053 26911354897 30558383571 34600313439 61515008457 71302894999 80734064691 91675150713 184545025371 213908684997 242202194073 641726054991 3371608320667 10114824962001 23601258244669 30344474886003 70803774734007 212411324202021