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21000140010 = 23252279971031
BaseRepresentation
bin10011100011101101…
…001011010011101010
32000012112110122102100
4103203231023103222
5321002013440020
613351453514230
71342255146663
oct234355132352
960175418370
1021000140010
1189a7039013
1240a0aa2976
131c98963765
14103306c36a
1582d978a90
hex4e3b4b4ea

21000140010 has 96 divisors (see below), whose sum is σ = 54949145472. Its totient is φ = 5564373120.

The previous prime is 21000139969. The next prime is 21000140039. The reversal of 21000140010 is 1004100012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21000139974 and 21000140001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20368195 + ... + 20369225.

It is an arithmetic number, because the mean of its divisors is an integer number (572386932).

Almost surely, 221000140010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000140010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27474572736).

21000140010 is an abundant number, since it is smaller than the sum of its proper divisors (33949005462).

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

21000140010 is a wasteful number, since it uses less digits than its factorization.

21000140010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2265 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21000140010 its reverse (1004100012), we get a palindrome (22004240022).

The spelling of 21000140010 in words is "twenty-one billion, one hundred forty thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 227 454 681 997 1031 1135 1362 1994 2043 2062 2270 2991 3093 3405 4086 4985 5155 5982 6186 6810 8973 9279 9970 10215 10310 14955 15465 17946 18558 20430 29910 30930 44865 46395 89730 92790 226319 234037 452638 468074 678957 702111 1027907 1131595 1170185 1357914 1404222 2036871 2055814 2106333 2263190 2340370 3083721 3394785 3510555 4073742 4212666 5139535 6167442 6789570 7021110 9251163 10184355 10279070 10531665 15418605 18502326 20368710 21063330 30837210 46255815 92511630 233334889 466669778 700004667 1166674445 1400009334 2100014001 2333348890 3500023335 4200028002 7000046670 10500070005 21000140010