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21210011040 = 2535183124133
BaseRepresentation
bin10011110000001101…
…110001010110100000
32000202011101012100110
4103300031301112200
5321414230323130
613424352051320
71350414055611
oct236015612640
960664335313
1021210011040
118aa4553249
12413b233b40
1320002959ba
141052c9dc08
158420d2ab0
hex4f03715a0

21210011040 has 96 divisors (see below), whose sum is σ = 66850793856. Its totient is φ = 5652679680.

The previous prime is 21210011033. The next prime is 21210011041. The reversal of 21210011040 is 4011001212.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21210011041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 866814 + ... + 890946.

It is an arithmetic number, because the mean of its divisors is an integer number (696362436).

Almost surely, 221210011040 is an apocalyptic number.

21210011040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21210011040 is an abundant number, since it is smaller than the sum of its proper divisors (45640782816).

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

21210011040 is a wasteful number, since it uses less digits than its factorization.

21210011040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25982 (or 25974 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 21210011040 its reverse (4011001212), we get a palindrome (25221012252).

The spelling of 21210011040 in words is "twenty-one billion, two hundred ten million, eleven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1831 3662 5493 7324 9155 10986 14648 18310 21972 24133 27465 29296 36620 43944 48266 54930 58592 72399 73240 87888 96532 109860 120665 144798 146480 175776 193064 219720 241330 289596 292960 361995 386128 439440 482660 579192 723990 772256 878880 965320 1158384 1447980 1930640 2316768 2895960 3861280 5791920 11583840 44187523 88375046 132562569 176750092 220937615 265125138 353500184 441875230 530250276 662812845 707000368 883750460 1060500552 1325625690 1414000736 1767500920 2121001104 2651251380 3535001840 4242002208 5302502760 7070003680 10605005520 21210011040