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10212203013111 = 32112341922111863
BaseRepresentation
bin1001010010011011011010…
…1110111010001111110111
31100011021110222122020022100
42110212312232322033313
52314304042432404421
633415231000033143
72102543624242101
oct224466656721767
940137428566270
1010212203013111
113287a75407620
12118b23a1627b3
135910116acac8
142743b7b96571
1512a999889c26
hex949b6bba3f7

10212203013111 has 96 divisors (see below), whose sum is σ = 17204473488384. Its totient is φ = 5774611392000.

The previous prime is 10212203013097. The next prime is 10212203013113. The reversal of 10212203013111 is 11131030221201.

10212203013111 is a `hidden beast` number, since 10 + 21 + 2 + 20 + 301 + 311 + 1 = 666.

It is not a de Polignac number, because 10212203013111 - 210 = 10212203012087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212203013113) 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, 860838966 + ... + 860850828.

It is an arithmetic number, because the mean of its divisors is an integer number (179213265504).

Almost surely, 210212203013111 is an apocalyptic number.

10212203013111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10212203013111 is a deficient number, since it is larger than the sum of its proper divisors (6992270475273).

10212203013111 is a wasteful number, since it uses less digits than its factorization.

10212203013111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21165 (or 21162 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10212203013111 its reverse (11131030221201), we get a palindrome (21343233234312).

The spelling of 10212203013111 in words is "ten trillion, two hundred twelve billion, two hundred three million, thirteen thousand, one hundred eleven".

Divisors: 1 3 9 11 23 33 41 69 99 123 207 253 369 451 759 943 1353 2277 2829 4059 8487 9221 10373 11863 27663 31119 35589 82989 93357 101431 106767 130493 212083 272849 304293 378061 391479 486383 636249 818547 912879 1134183 1174437 1459149 1908747 2332913 2455641 3001339 3402549 4158671 4377447 5350213 6998739 8695403 9004017 11186809 12476013 16050639 20996217 26086209 27012051 33560427 37428039 48151917 78258627 95649433 100681281 109388723 123054899 286948299 328166169 369164697 860844897 984498507 1107494091 1203275953 2515940629 3609827859 4484937643 7547821887 10829483577 13454812929 22643465661 27675346919 40364438787 49334314073 83026040757 103153565789 148002942219 249078122271 309460697367 444008826657 928382092101 1134689223679 3404067671037 10212203013111