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13021002120 = 2335715501193
BaseRepresentation
bin11000010000001110…
…01011100110001000
31020121110022102221210
430020013023212020
5203131334031440
65552021133120
7640446456210
oct141007134610
936543272853
1013021002120
11558201a685
12263485a1a0
1312c68462a9
148b7475240
155131eea80
hex3081cb988

13021002120 has 64 divisors (see below), whose sum is σ = 44643438720. Its totient is φ = 2976228864.

The previous prime is 13021002103. The next prime is 13021002133. The reversal of 13021002120 is 2120012031.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 13021002096 and 13021002105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7749757 + ... + 7751436.

It is an arithmetic number, because the mean of its divisors is an integer number (697553730).

Almost surely, 213021002120 is an apocalyptic number.

13021002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13021002120 is an abundant number, since it is smaller than the sum of its proper divisors (31622436600).

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

13021002120 is a wasteful number, since it uses less digits than its factorization.

13021002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15501214 (or 15501210 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 13021002120 its reverse (2120012031), we get a palindrome (15141014151).

The spelling of 13021002120 in words is "thirteen billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 15501193 31002386 46503579 62004772 77505965 93007158 108508351 124009544 155011930 186014316 217016702 232517895 310023860 325525053 372028632 434033404 465035790 542541755 620047720 651050106 868066808 930071580 1085083510 1302100212 1627625265 1860143160 2170167020 2604200424 3255250530 4340334040 6510501060 13021002120