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13320031020 = 22353153135119
BaseRepresentation
bin11000110011110111…
…11000101100101100
31021101021222200111020
430121323320230230
5204234411443040
610041422254140
7651040252452
oct143173705454
937337880436
1013320031020
1157158a04aa
1226b8a27350
13134379407a
149050749d2
1552e5bacd0
hex319ef8b2c

13320031020 has 96 divisors (see below), whose sum is σ = 39225876480. Its totient is φ = 3372545280.

The previous prime is 13320030947. The next prime is 13320031037. The reversal of 13320031020 is 2013002331.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 31 ways as a sum of consecutive naturals, for example, 31021 + ... + 166139.

It is an arithmetic number, because the mean of its divisors is an integer number (408602880).

Almost surely, 213320031020 is an apocalyptic number.

13320031020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13320031020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19612938240).

13320031020 is an abundant number, since it is smaller than the sum of its proper divisors (25905845460).

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

13320031020 is a wasteful number, since it uses less digits than its factorization.

13320031020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135215 (or 135213 counting only the distinct ones).

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

Adding to 13320031020 its reverse (2013002331), we get a palindrome (15333033351).

The spelling of 13320031020 in words is "thirteen billion, three hundred twenty million, thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 53 60 62 93 106 124 155 159 186 212 265 310 318 372 465 530 620 636 795 930 1060 1590 1643 1860 3180 3286 4929 6572 8215 9858 16430 19716 24645 32860 49290 98580 135119 270238 405357 540476 675595 810714 1351190 1621428 2026785 2702380 4053570 4188689 7161307 8107140 8377378 12566067 14322614 16754756 20943445 21483921 25132134 28645228 35806535 41886890 42967842 50264268 62830335 71613070 83773780 85935684 107419605 125660670 143226140 214839210 222000517 251321340 429678420 444001034 666001551 888002068 1110002585 1332003102 2220005170 2664006204 3330007755 4440010340 6660015510 13320031020