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13022013004 = 227111317918169
BaseRepresentation
bin11000010000010110…
…00010011001001100
31020121112012210121221
430020023002121030
5203132113404004
65552054533124
7640461166330
oct141013023114
936545183557
1013022013004
115582650120
1226350671a4
1312c6b0b450
148b76597c0
1551334e354
hex3082c264c

13022013004 has 96 divisors (see below), whose sum is σ = 30769804800. Its totient is φ = 4656821760.

The previous prime is 13022012977. The next prime is 13022013007. The reversal of 13022013004 is 40031022031.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13022013007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 707632 + ... + 725800.

It is an arithmetic number, because the mean of its divisors is an integer number (320518800).

Almost surely, 213022013004 is an apocalyptic number.

13022013004 is a gapful number since it is divisible by the number (14) 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 13022013004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15384902400).

13022013004 is an abundant number, since it is smaller than the sum of its proper divisors (17747791796).

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

13022013004 is a wasteful number, since it uses less digits than its factorization.

13022013004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18383 (or 18381 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 13022013004 its reverse (40031022031), we get a palindrome (53053035035).

The spelling of 13022013004 in words is "thirteen billion, twenty-two million, thirteen thousand, four".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 179 182 286 308 358 364 572 716 1001 1253 1969 2002 2327 2506 3938 4004 4654 5012 7876 9308 13783 16289 18169 25597 27566 32578 36338 51194 55132 65156 72676 102388 127183 179179 199859 236197 254366 358358 399718 472394 508732 716716 799436 944788 1399013 1653379 2598167 2798026 3252251 3306758 5196334 5596052 6504502 6613516 10392668 13009004 18187169 22765757 35774761 36374338 42279263 45531514 71549522 72748676 84558526 91063028 143099044 169117052 250423327 295954841 465071893 500846654 591909682 930143786 1001693308 1183819364 1860287572 3255503251 6511006502 13022013004