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13013202320 = 2453179127523
BaseRepresentation
bin11000001111010010…
…11011010110010000
31020120220122011122022
430013221123112100
5203122334433240
65551142031012
7640323252236
oct140751332620
936526564568
1013013202320
115578682568
122632118468
1312c5045021
148b6404956
155126ad9b5
hex307a5b590

13013202320 has 160 divisors (see below), whose sum is σ = 31937003520. Its totient is φ = 4925007360.

The previous prime is 13013202317. The next prime is 13013202337. The reversal of 13013202320 is 2320231031.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24881579 + ... + 24882101.

It is an arithmetic number, because the mean of its divisors is an integer number (199606272).

Almost surely, 213013202320 is an apocalyptic number.

13013202320 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 13013202320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15968501760).

13013202320 is an abundant number, since it is smaller than the sum of its proper divisors (18923801200).

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

13013202320 is a wasteful number, since it uses less digits than its factorization.

13013202320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 773 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 13013202320 its reverse (2320231031), we get a palindrome (15333433351).

The spelling of 13013202320 in words is "thirteen billion, thirteen million, two hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 79 80 124 127 155 158 248 254 310 316 395 496 508 523 620 632 635 790 1016 1046 1240 1264 1270 1580 2032 2092 2449 2480 2540 2615 3160 3937 4184 4898 5080 5230 6320 7874 8368 9796 10033 10160 10460 12245 15748 16213 19592 19685 20066 20920 24490 31496 32426 39184 39370 40132 41317 41840 48980 50165 62992 64852 66421 78740 80264 81065 82634 97960 100330 129704 132842 157480 160528 162130 165268 195920 200660 206585 259408 265684 311023 314960 324260 330536 332105 401320 413170 531368 622046 648520 661072 664210 802640 826340 1062736 1244092 1280827 1297040 1328420 1555115 1652680 2059051 2488184 2561654 2656840 3110230 3305360 4118102 4976368 5123308 5247259 5313680 6220460 6404135 8236204 10246616 10295255 10494518 12440920 12808270 16472408 20493232 20590510 20989036 24881840 25616540 26236295 32944816 41181020 41978072 51233080 52472590 82362040 83956144 102466160 104945180 162665029 164724080 209890360 325330058 419780720 650660116 813325145 1301320232 1626650290 2602640464 3253300580 6506601160 13013202320