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10211200222212 = 223211471274319963
BaseRepresentation
bin1001010010010111101011…
…1101100100010000000100
31100011011220002201011210200
42110211322331210100010
52314300014224102322
633414543254450500
72102510026535343
oct224457275442004
940134802634720
1010211200222212
113287600357a10
12118abba363a30
13590bb1a06502
1427432091db5a
1512a93b8068ac
hex9497af64404

10211200222212 has 144 divisors (see below), whose sum is σ = 28983709827072. Its totient is φ = 3004619970240.

The previous prime is 10211200222211. The next prime is 10211200222231. The reversal of 10211200222212 is 21222200211201.

It is a happy number.

10211200222212 is a `hidden beast` number, since 1 + 0 + 211 + 20 + 0 + 222 + 212 = 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 (10211200222211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 203743 + ... + 4523705.

It is an arithmetic number, because the mean of its divisors is an integer number (201275762688).

Almost surely, 210211200222212 is an apocalyptic number.

10211200222212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211200222212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14491854913536).

10211200222212 is an abundant number, since it is smaller than the sum of its proper divisors (18772509604860).

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

10211200222212 is a wasteful number, since it uses less digits than its factorization.

10211200222212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4320158 (or 4320153 counting only the distinct ones).

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

Adding to 10211200222212 its reverse (21222200211201), we get a palindrome (31433400433413).

The spelling of 10211200222212 in words is "ten trillion, two hundred eleven billion, two hundred million, two hundred twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 127 132 141 188 198 254 282 381 396 423 508 517 564 762 846 1034 1143 1397 1524 1551 1692 2068 2286 2794 3102 4191 4572 4653 5588 5969 6204 8382 9306 11938 12573 16764 17907 18612 23876 25146 35814 50292 53721 65659 71628 107442 131318 196977 214884 262636 393954 590931 787908 1181862 2363724 4319963 8639926 12959889 17279852 25919778 38879667 47519593 51839556 77759334 95039186 142558779 155518668 190078372 203038261 285117558 406076522 427676337 548635301 570235116 609114783 812153044 855352674 1097270602 1218229566 1645905903 1710705348 1827344349 2194541204 2233420871 2436459132 3291811806 3654688698 4466841742 4937717709 6034988311 6583623612 6700262613 7309377396 8933683484 9875435418 12069976622 13400525226 18104964933 19750870836 20100787839 24139953244 25785859147 26801050452 36209929866 40201575678 51571718294 54314894799 72419859732 77357577441 80403151356 103143436588 108629789598 154715154882 217259579196 232072732323 283644450617 309430309764 464145464646 567288901234 850933351851 928290929292 1134577802468 1701866703702 2552800055553 3403733407404 5105600111106 10211200222212