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21420224010 = 235553166319
BaseRepresentation
bin10011111100101111…
…101010111000001010
32001021210221010100000
4103330233222320022
5322332034132020
613501301423430
71355545620453
oct237457527012
961253833300
1021420224010
1190a2181379
12419970ab76
1320349b7783
141072b8012a
158557a8090
hex4fcbeae0a

21420224010 has 96 divisors (see below), whose sum is σ = 58845346560. Its totient is φ = 5604251328.

The previous prime is 21420224003. The next prime is 21420224017. The reversal of 21420224010 is 1042202412.

21420224010 is a `hidden beast` number, since 2 + 1 + 420 + 2 + 240 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21420224003) and next prime (21420224017).

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 (21420224017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 45631 + ... + 211949.

It is an arithmetic number, because the mean of its divisors is an integer number (612972360).

Almost surely, 221420224010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21420224010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29422673280).

21420224010 is an abundant number, since it is smaller than the sum of its proper divisors (37425122550).

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

21420224010 is a wasteful number, since it uses less digits than its factorization.

21420224010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166394 (or 166382 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 21420224010 its reverse (1042202412), we get a palindrome (22462426422).

The spelling of 21420224010 in words is "twenty-one billion, four hundred twenty million, two hundred twenty-four thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 243 265 270 318 405 477 486 530 795 810 954 1215 1431 1590 2385 2430 2862 4293 4770 7155 8586 12879 14310 21465 25758 42930 64395 128790 166319 332638 498957 831595 997914 1496871 1663190 2494785 2993742 4490613 4989570 7484355 8814907 8981226 13471839 14968710 17629814 22453065 26444721 26943678 40415517 44074535 44906130 52889442 67359195 79334163 80831034 88149070 132223605 134718390 158668326 202077585 238002489 264447210 396670815 404155170 476004978 714007467 793341630 1190012445 1428014934 2142022401 2380024890 3570037335 4284044802 7140074670 10710112005 21420224010