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21012133121012 = 221141271281152953
BaseRepresentation
bin1001100011100010001001…
…01110110000101111110100
32202101201222200111100012002
410301301010232300233310
510223230322034333022
6112404501331314432
74266035150424365
oct461610456605764
982351880440162
1021012133121012
1167712173a8370
122434360a4ba18
13b95588183307
14528dc7c55b6c
152668918b6092
hex131c44bb0bf4

21012133121012 has 96 divisors (see below), whose sum is σ = 41391143797248. Its totient is φ = 9250536960000.

The previous prime is 21012133120919. The next prime is 21012133121029.

21012133121012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137299928 + ... + 137452880.

It is an arithmetic number, because the mean of its divisors is an integer number (431157747888).

Almost surely, 221012133121012 is an apocalyptic number.

21012133121012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21012133121012 is a deficient number, since it is larger than the sum of its proper divisors (20379010676236).

21012133121012 is a wasteful number, since it uses less digits than its factorization.

21012133121012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153561 (or 153559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

It can be divided in two parts, 2101213 and 3121012, that added together give a palindrome (5222225).

The spelling of 21012133121012 in words is "twenty-one trillion, twelve billion, one hundred thirty-three million, one hundred twenty-one thousand, twelve".

Divisors: 1 2 4 11 22 41 44 82 164 271 281 451 542 562 902 1084 1124 1804 2981 3091 5962 6182 11111 11521 11924 12364 22222 23042 44444 46084 76151 122221 126731 152302 152953 244442 253462 304604 305906 488884 506924 611812 837661 1675322 1682483 3122191 3350644 3364966 6244382 6271073 6729932 12488764 12542146 25084292 34344101 41450263 42979793 68688202 68981803 82900526 85959586 137376404 137963606 165801052 171919172 275927212 455952893 472777723 911905786 945555446 1699460783 1762171513 1823811572 1891110892 3398921566 3524343026 6797843132 7048686052 11647523903 18694068613 19383886643 23295047806 37388137226 38767773286 46590095612 74776274452 77535546572 128122762933 256245525866 477548480023 512491051732 955096960046 1910193920092 5253033280253 10506066560506 21012133121012