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20331200020302 = 232231014651104543
BaseRepresentation
bin1001001111101101110011…
…11101000111111101001110
32122222122101021201210011100
410213312321331013331032
510131101244201122202
6111124005132003530
74165611042524463
oct447667175077516
978878337653140
1020331200020302
116529460418386
1223443a59005a6
13b462baca8202
1450406cd4166a
15253cdb6b041c
hex127db9f47f4e

20331200020302 has 96 divisors (see below), whose sum is σ = 46431727220736. Its totient is φ = 6416787960000.

The previous prime is 20331200020291. The next prime is 20331200020343. The reversal of 20331200020302 is 20302000213302.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 194424643 + ... + 194529185.

It is an arithmetic number, because the mean of its divisors is an integer number (483663825216).

Almost surely, 220331200020302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20331200020302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23215863610368).

20331200020302 is an abundant number, since it is smaller than the sum of its proper divisors (26100527200434).

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

20331200020302 is a wasteful number, since it uses less digits than its factorization.

20331200020302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109326 (or 109323 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 20331200020302 its reverse (20302000213302), we get a palindrome (40633200233604).

The spelling of 20331200020302 in words is "twenty trillion, three hundred thirty-one billion, two hundred million, twenty thousand, three hundred two".

Divisors: 1 2 3 6 9 18 23 46 69 101 138 202 207 303 414 606 909 1818 2323 4646 4651 6969 9302 13938 13953 20907 27906 41814 41859 83718 104543 106973 209086 213946 313629 320919 469751 627258 641838 939502 940887 962757 1409253 1881774 1925514 2404489 2818506 4227759 4808978 7213467 8455518 10558843 10804273 14426934 21117686 21608546 21640401 31676529 32412819 43280802 63353058 64825638 95029587 97238457 190059174 194476914 242853389 485706778 486229493 728560167 972458986 1457120334 1458688479 2185680501 2917376958 4371361002 4376065437 8752130874 11183278339 22366556678 33549835017 49109178793 67099670034 98218357586 100649505051 147327536379 201299010102 294655072758 441982609137 883965218274 1129511112239 2259022224478 3388533336717 6777066673434 10165600010151 20331200020302