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21027101202 = 2341779127761
BaseRepresentation
bin10011100101010100…
…000001101000010010
32000021102012102020000
4103211110001220102
5321030414214302
613354255430430
71343033261022
oct234524015022
960242172200
1021027101202
118a10283398
1240a9b25416
131ca1413523
141036889a82
1583100231c
hex4e5501a12

21027101202 has 160 divisors (see below), whose sum is σ = 50984017920. Its totient is φ = 6453457920.

The previous prime is 21027101189. The next prime is 21027101231. The reversal of 21027101202 is 20210172012.

It is a happy number.

21027101202 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27630502 + ... + 27631262.

It is an arithmetic number, because the mean of its divisors is an integer number (318650112).

Almost surely, 221027101202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21027101202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25492008960).

21027101202 is an abundant number, since it is smaller than the sum of its proper divisors (29956916718).

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

21027101202 is a wasteful number, since it uses less digits than its factorization.

21027101202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

Adding to 21027101202 its reverse (20210172012), we get a palindrome (41237273214).

The spelling of 21027101202 in words is "twenty-one billion, twenty-seven million, one hundred one thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 79 81 102 127 153 158 162 237 254 306 381 459 474 711 761 762 918 1143 1343 1377 1422 1522 2133 2159 2283 2286 2686 2754 3429 4029 4266 4318 4566 6399 6477 6849 6858 8058 10033 10287 12087 12798 12937 12954 13698 19431 20066 20547 20574 24174 25874 30099 36261 38811 38862 41094 58293 60119 60198 61641 72522 77622 90297 96647 108783 116433 116586 120238 123282 170561 174879 180357 180594 193294 217566 232866 270891 289941 341122 349299 349758 360714 511683 541071 541782 579882 698598 812673 869823 1022023 1023366 1047897 1082142 1535049 1623213 1625346 1642999 1739646 2044046 2095794 2609469 3066069 3070098 3246426 3285998 4605147 4869639 4928997 5218938 6132138 7635113 7828407 9198207 9210294 9739278 9857994 13815441 14786991 15270226 15656814 18396414 22905339 27594621 27630882 29573982 44360973 45810678 55189242 68716017 82783863 88721946 129796921 133082919 137432034 165567726 206148051 259593842 266165838 389390763 412296102 618444153 778781526 1168172289 1236888306 2336344578 3504516867 7009033734 10513550601 21027101202