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13302304020 = 22325593673413
BaseRepresentation
bin11000110001110000…
…10000110100010100
31021100001122001121200
430120320100310110
5204220342212040
610035550312500
7650433501315
oct143070206424
937301561550
1013302304020
115706892995
1226b2ab8730
13133cbc8415
1490297c60c
1552cc68630
hex318e10d14

13302304020 has 144 divisors (see below), whose sum is σ = 41158091520. Its totient is φ = 3476636928.

The previous prime is 13302304013. The next prime is 13302304033. The reversal of 13302304020 is 2040320331.

13302304020 is a `hidden beast` number, since 1 + 3 + 30 + 230 + 402 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13302303984 and 13302304002.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3895834 + ... + 3899246.

It is an arithmetic number, because the mean of its divisors is an integer number (285820080).

Almost surely, 213302304020 is an apocalyptic number.

13302304020 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 13302304020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20579045760).

13302304020 is an abundant number, since it is smaller than the sum of its proper divisors (27855787500).

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

13302304020 is a wasteful number, since it uses less digits than its factorization.

13302304020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3854 (or 3849 counting only the distinct ones).

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

Adding to 13302304020 its reverse (2040320331), we get a palindrome (15342624351).

The spelling of 13302304020 in words is "thirteen billion, three hundred two million, three hundred four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 59 60 90 118 177 180 236 295 354 367 531 590 708 734 885 1062 1101 1180 1468 1770 1835 2124 2202 2655 3303 3413 3540 3670 4404 5310 5505 6606 6826 7340 10239 10620 11010 13212 13652 16515 17065 20478 21653 22020 30717 33030 34130 40956 43306 51195 61434 64959 66060 68260 86612 102390 108265 122868 129918 153585 194877 201367 204780 216530 259836 307170 324795 389754 402734 433060 604101 614340 649590 779508 805468 974385 1006835 1208202 1252571 1299180 1812303 1948770 2013670 2416404 2505142 3020505 3624606 3757713 3897540 4027340 5010284 6041010 6262855 7249212 7515426 9061515 11273139 12082020 12525710 15030852 18123030 18788565 22546278 25051420 36246060 37577130 45092556 56365695 73901689 75154260 112731390 147803378 221705067 225462780 295606756 369508445 443410134 665115201 739016890 886820268 1108525335 1330230402 1478033780 2217050670 2660460804 3325576005 4434101340 6651152010 13302304020