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13300032020 = 22511220532677
BaseRepresentation
bin11000110001011111…
…00110001000010100
31021022220100122000112
430120233212020110
5204214302011040
610035425502152
7650405256362
oct143057461024
937286318015
1013300032020
115705580a00
1226b21a1958
13133c5b1242
1490254a632
1552c96a365
hex318be6214

13300032020 has 72 divisors (see below), whose sum is σ = 30726418632. Its totient is φ = 4832213760.

The previous prime is 13300032017. The next prime is 13300032073. The reversal of 13300032020 is 2023000331.

It can be written as a sum of positive squares in 4 ways, for example, as 407044 + 13299624976 = 638^2 + 115324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13300031986 and 13300032004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4966922 + ... + 4969598.

Almost surely, 213300032020 is an apocalyptic number.

13300032020 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 13300032020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15363209316).

13300032020 is an abundant number, since it is smaller than the sum of its proper divisors (17426386612).

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

13300032020 is a wasteful number, since it uses less digits than its factorization.

13300032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4761 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

Adding to 13300032020 its reverse (2023000331), we get a palindrome (15323032351).

The spelling of 13300032020 in words is "thirteen billion, three hundred million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 2053 2420 2677 4106 5354 8212 10265 10708 13385 20530 22583 26770 29447 41060 45166 53540 58894 90332 112915 117788 147235 225830 248413 294470 323917 451660 496826 588940 647834 993652 1242065 1295668 1619585 2484130 3239170 4968260 5495881 6478340 10991762 21983524 27479405 54958810 60454691 109917620 120909382 241818764 302273455 604546910 665001601 1209093820 1330003202 2660006404 3325008005 6650016010 13300032020