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20321312202 = 232171373791279
BaseRepresentation
bin10010111011001111…
…101001110111001010
31221110020010121201200
4102323033221313022
5313104223442302
613200244125030
71316403206112
oct227317516712
957406117650
1020321312202
11868893a6a4
123b31696776
131bbb1281b9
14daac46042
157de08981c
hex4bb3e9dca

20321312202 has 96 divisors (see below), whose sum is σ = 47120486400. Its totient is φ = 6307144704.

The previous prime is 20321312191. The next prime is 20321312203. The reversal of 20321312202 is 20221312302.

It is a super-2 number, since 2×203213122022 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20321312203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15887799 + ... + 15889077.

It is an arithmetic number, because the mean of its divisors is an integer number (490838400).

Almost surely, 220321312202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20321312202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23560243200).

20321312202 is an abundant number, since it is smaller than the sum of its proper divisors (26799174198).

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

20321312202 is a wasteful number, since it uses less digits than its factorization.

20321312202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 20321312202 its reverse (20221312302), we get a palindrome (40542624504).

The spelling of 20321312202 in words is "twenty billion, three hundred twenty-one million, three hundred twelve thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 137 153 274 306 379 411 758 822 1137 1233 1279 2274 2329 2466 2558 3411 3837 4658 6443 6822 6987 7674 11511 12886 13974 19329 20961 21743 23022 38658 41922 43486 51923 57987 65229 103846 115974 130458 155769 175223 195687 311538 350446 391374 467307 484741 525669 882691 934614 969482 1051338 1454223 1577007 1765382 2648073 2908446 2978791 3154014 4362669 5296146 5957582 7944219 8240597 8725338 8936373 15888438 16481194 17872746 24721791 26809119 49443582 53618238 66409517 74165373 132819034 148330746 199228551 398457102 597685653 1128961789 1195371306 2257923578 3386885367 6773770734 10160656101 20321312202