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21211112121210 = 23351121751328343
BaseRepresentation
bin1001101001010100110001…
…10011011010001101111010
32210002202120212120212021000
410310222120303122031322
510240010324200334320
6113040130030025430
74316311063135524
oct464523063321572
983082525525230
1021211112121210
116838644902280
122466a32648276
13bab278ac1a9b
145348a24c0a14
1526bb3a3abc90
hex134a98cda37a

21211112121210 has 128 divisors (see below), whose sum is σ = 61708078264320. Its totient is φ = 5141835720000.

The previous prime is 21211112121181. The next prime is 21211112121259. The reversal of 21211112121210 is 1212121111212.

It is a happy number.

21211112121210 is a `hidden beast` number, since 21 + 211 + 11 + 212 + 1 + 210 = 666.

It is a super-2 number, since 2×212111121212102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 64436299 + ... + 64764641.

It is an arithmetic number, because the mean of its divisors is an integer number (482094361440).

Almost surely, 221211112121210 is an apocalyptic number.

21211112121210 is an abundant number, since it is smaller than the sum of its proper divisors (40496966143110).

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

21211112121210 is a wasteful number, since it uses less digits than its factorization.

21211112121210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350121 (or 350115 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 21211112121210 its reverse (1212121111212), we get a palindrome (22423233232422).

It can be divided in two parts, 212111 and 12121210, that added together give a palindrome (12333321).

The spelling of 21211112121210 in words is "twenty-one trillion, two hundred eleven billion, one hundred twelve million, one hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 135 165 198 270 297 330 495 594 990 1485 2970 21751 43502 65253 108755 130506 195759 217510 239261 326265 328343 391518 478522 587277 652530 656686 717783 978795 985029 1174554 1196305 1435566 1641715 1957590 1970058 2153349 2392610 2936385 2955087 3283430 3588915 3611773 4306698 4925145 5872770 5910174 6460047 7177830 7223546 8865261 9850290 10766745 10835319 12920094 14775435 17730522 18058865 21533490 21670638 29550870 32300235 32505957 36117730 44326305 54176595 64600470 65011914 88652610 97517871 108353190 162529785 195035742 325059570 487589355 975178710 7141788593 14283577186 21425365779 35708942965 42850731558 64276097337 71417885930 78559674523 107126828895 128552194674 157119349046 192828292011 214253657790 235679023569 321380486685 385656584022 392798372615 471358047138 642760973370 707037070707 785596745230 964141460055 1178395117845 1414074141414 1928282920110 2121111212121 2356790235690 3535185353535 4242222424242 7070370707070 10605556060605 21211112121210