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21000220221008 = 2471721447448373
BaseRepresentation
bin1001100011001011111101…
…01010101001111001010000
32202100121020110021022120102
410301211332222221321100
510223031422334033013
6112355211252431532
74265134014434450
oct461457652517120
982317213238512
1021000220221008
116767163927266
122431b973185a8
13b9440a096762
145285b7a2bd60
152663e5aecd58
hex13197eaa9e50

21000220221008 has 120 divisors (see below), whose sum is σ = 49430959347072. Its totient is φ = 8464804227072.

The previous prime is 21000220221007. The next prime is 21000220221031. The reversal of 21000220221008 is 80012202200012.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21000220221007) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 46612310 + ... + 47060682.

Almost surely, 221000220221008 is an apocalyptic number.

21000220221008 is a gapful number since it is divisible by the number (28) 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 21000220221008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24715479673536).

21000220221008 is an abundant number, since it is smaller than the sum of its proper divisors (28430739126064).

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

21000220221008 is a wasteful number, since it uses less digits than its factorization.

21000220221008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449869 (or 449846 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The spelling of 21000220221008 in words is "twenty-one trillion, two hundred twenty million, two hundred twenty-one thousand, eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 289 476 578 952 1156 1447 1904 2023 2312 2894 4046 4624 5788 8092 10129 11576 16184 20258 23152 24599 32368 40516 49198 81032 98396 162064 172193 196792 344386 393584 418183 448373 688772 836366 896746 1377544 1672732 1793492 2755088 2927281 3138611 3345464 3586984 5854562 6277222 6690928 7173968 7622341 11709124 12554444 15244682 23418248 25108888 30489364 46836496 50217776 53356387 60978728 106712774 121957456 129579797 213425548 259159594 426851096 518319188 648795731 853702192 907058579 1036638376 1297591462 1814117158 2073276752 2595182924 3628234316 4541570117 5190365848 7256468632 9083140234 10380731696 11029527427 14512937264 18166280468 22059054854 36332560936 44118109708 72665121872 77206691989 88236219416 154413383978 176472438832 187501966259 308826767956 375003932518 617653535912 750007865036 1235307071824 1312513763813 1500015730072 2625027527626 3000031460144 5250055055252 10500110110504 21000220221008