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21021023310012 = 223211223472056141
BaseRepresentation
bin1001100011110010101101…
…01000001001000010111100
32202102120221020221201211100
410301321112220021002330
510223402023431410022
6112412531431053100
74266501360661635
oct461712650110274
982376836851740
1021021023310012
116774a69706a00
122436022211190
13b96373c6628b
145295cc84488c
15266c121011ac
hex131e56a090bc

21021023310012 has 108 divisors (see below), whose sum is σ = 58431122597848. Its totient is φ = 6367289860800.

The previous prime is 21021023309971. The next prime is 21021023310019. The reversal of 21021023310012 is 21001332012012.

21021023310012 is a `hidden beast` number, since 210 + 210 + 233 + 1 + 0 + 0 + 12 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21021023310019) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9195462 + ... + 11251602.

Almost surely, 221021023310012 is an apocalyptic number.

21021023310012 is a gapful number since it is divisible by the number (22) 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 21021023310012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29215561298924).

21021023310012 is an abundant number, since it is smaller than the sum of its proper divisors (37410099287836).

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

21021023310012 is a wasteful number, since it uses less digits than its factorization.

21021023310012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058520 (or 2058504 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21021023310012 its reverse (21001332012012), we get a palindrome (42022355322024).

The spelling of 21021023310012 in words is "twenty-one trillion, twenty-one billion, twenty-three million, three hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 2347 4356 4694 7041 9388 14082 21123 25817 28164 42246 51634 77451 84492 103268 154902 232353 283987 309804 464706 567974 851961 929412 1135948 1703922 2056141 2555883 3407844 4112282 5111766 6168423 8224564 10223532 12336846 18505269 22617551 24673692 37010538 45235102 67852653 74021076 90470204 135705306 203557959 248793061 271410612 407115918 497586122 746379183 814231836 995172244 1492758366 2239137549 2985516732 4478275098 4825762927 8956550196 9651525854 14477288781 19303051708 28954577562 43431866343 53083392197 57909155124 86863732686 106166784394 159250176591 173727465372 212333568788 318500353182 477750529773 583917314167 637000706364 955501059546 1167834628334 1751751942501 1911002119092 2335669256668 3503503885002 5255255827503 7007007770004 10510511655006 21021023310012