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21120210221000 = 2353119292066759
BaseRepresentation
bin1001100110101011011101…
…01000001011011111001000
32202210001221202121212122012
410303111232220023133020
510232013142304033000
6112530253550515052
74306612332550352
oct463255650133710
982701852555565
1021120210221000
116803038081210
1224512a3805a88
13ba282018c257
1453031b8d00d2
152695b9c7a735
hex13356ea0b7c8

21120210221000 has 128 divisors (see below), whose sum is σ = 53972197344000. Its totient is φ = 7671805696000.

The previous prime is 21120210220999. The next prime is 21120210221003. The reversal of 21120210221000 is 12201202112.

It is not an unprimeable number, because it can be changed into a prime (21120210221003) 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 31 ways as a sum of consecutive naturals, for example, 9185621 + ... + 11252379.

It is an arithmetic number, because the mean of its divisors is an integer number (421657791750).

Almost surely, 221120210221000 is an apocalyptic number.

21120210221000 is a gapful number since it is divisible by the number (20) 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 21120210221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26986098672000).

21120210221000 is an abundant number, since it is smaller than the sum of its proper divisors (32851987123000).

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

21120210221000 is a wasteful number, since it uses less digits than its factorization.

21120210221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067720 (or 2067706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21120210221000 its reverse (12201202112), we get a palindrome (21132411423112).

The spelling of 21120210221000 in words is "twenty-one trillion, one hundred twenty billion, two hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 929 1000 1100 1375 1858 2200 2750 3716 4645 5500 7432 9290 10219 11000 18580 20438 23225 37160 40876 46450 51095 81752 92900 102190 116125 185800 204380 232250 255475 408760 464500 510950 929000 1021900 1277375 2043800 2066759 2554750 4133518 5109500 8267036 10219000 10333795 16534072 20667590 22734349 41335180 45468698 51668975 82670360 90937396 103337950 113671745 181874792 206675900 227343490 258344875 413351800 454686980 516689750 568358725 909373960 1033379500 1136717450 1920019111 2066759000 2273434900 2841793625 3840038222 4546869800 5683587250 7680076444 9600095555 11367174500 15360152888 19200191110 21120210221 22734349000 38400382220 42240420442 48000477775 76800764440 84480840884 96000955550 105601051105 168961681768 192001911100 211202102210 240002388875 384003822200 422404204420 480004777750 528005255525 844808408840 960009555500 1056010511050 1920019111000 2112021022100 2640026277625 4224042044200 5280052555250 10560105110500 21120210221000