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21211155140 = 2257263757761
BaseRepresentation
bin10011110000010010…
…001000101011000100
32000202020112022202112
4103300102020223010
5321420023431030
613424432400152
71350426562310
oct236022105304
960666468675
1021211155140
118aa516488a
12413b6a6058
1320005a6696
1410530bab40
1584225ba95
hex4f0488ac4

21211155140 has 96 divisors (see below), whose sum is σ = 51235075584. Its totient is φ = 7225666560.

The previous prime is 21211155139. The next prime is 21211155157. The reversal of 21211155140 is 4155111212.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 27872360 + ... + 27873120.

It is an arithmetic number, because the mean of its divisors is an integer number (533698704).

Almost surely, 221211155140 is an apocalyptic number.

21211155140 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 21211155140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25617537792).

21211155140 is an abundant number, since it is smaller than the sum of its proper divisors (30023920444).

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

21211155140 is a wasteful number, since it uses less digits than its factorization.

21211155140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1797 (or 1795 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 23.

Adding to 21211155140 its reverse (4155111212), we get a palindrome (25366266352).

The spelling of 21211155140 in words is "twenty-one billion, two hundred eleven million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 757 761 1052 1315 1514 1522 1841 2630 3028 3044 3682 3785 3805 5260 5299 5327 7364 7570 7610 9205 10598 10654 15140 15220 18410 21196 21308 26495 26635 36820 52990 53270 105980 106540 199091 200143 398182 400286 576077 796364 800572 995455 1000715 1152154 1393637 1401001 1990910 2001430 2304308 2787274 2802002 2880385 3981820 4002860 4032539 5574548 5604004 5760770 6968185 7005005 8065078 11521540 13936370 14010010 16130156 20162695 27872740 28020020 40325390 80650780 151508251 303016502 606033004 757541255 1060557757 1515082510 2121115514 3030165020 4242231028 5302788785 10605577570 21211155140