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20131000332 = 22323475932617
BaseRepresentation
bin10010101111111001…
…101011000000001100
31220221222000202220220
4102233321223000030
5312212014002312
613125325111340
71311602452032
oct225771530014
956858022826
1020131000332
1185a0474563
123a999b8550
131b8a883821
14d8d866552
157cc4e5c8c
hex4afe6b00c

20131000332 has 96 divisors (see below), whose sum is σ = 50161047552. Its totient is φ = 6269024256.

The previous prime is 20131000321. The next prime is 20131000349. The reversal of 20131000332 is 23300013102.

It is a super-2 number, since 2×201310003322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7691088 + ... + 7693704.

It is an arithmetic number, because the mean of its divisors is an integer number (522510912).

Almost surely, 220131000332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20131000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25080523776).

20131000332 is an abundant number, since it is smaller than the sum of its proper divisors (30030047220).

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

20131000332 is a wasteful number, since it uses less digits than its factorization.

20131000332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3287 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 20131000332 its reverse (23300013102), we get a palindrome (43431013434).

The spelling of 20131000332 in words is "twenty billion, one hundred thirty-one million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 47 69 92 94 138 141 188 276 282 564 593 1081 1186 1779 2162 2372 2617 3243 3558 4324 5234 6486 7116 7851 10468 12972 13639 15702 27278 27871 31404 40917 54556 55742 60191 81834 83613 111484 120382 122999 163668 167226 180573 240764 245998 334452 361146 368997 491996 641033 722292 737994 1282066 1475988 1551881 1923099 2564132 2828977 3103762 3846198 4655643 5657954 6207524 7692396 8486931 9311286 11315908 16973862 18622572 33947724 35693263 71386526 72938407 107079789 142773052 145876814 214159578 218815221 291753628 428319156 437630442 875260884 1677583361 3355166722 5032750083 6710333444 10065500166 20131000332