Search a number
-
+
13011200434320 = 24351113137622023
BaseRepresentation
bin1011110101010110011111…
…1110101110000010010000
31201001212011221002112201020
42331111213332232002100
53201133414302344240
643401132444435440
72512012450621014
oct275254776560220
951055157075636
1013011200434320
114167023497890
1215617a8848b80
13734c4928c94a
1432da6178c544
151786b7b190d0
hexbd567fae090

13011200434320 has 160 divisors (see below), whose sum is σ = 44337404795904. Its totient is φ = 3130152230400.

The previous prime is 13011200434217. The next prime is 13011200434387. The reversal of 13011200434320 is 2343400211031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 18465172 + ... + 19156851.

Almost surely, 213011200434320 is an apocalyptic number.

13011200434320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13011200434320 is an abundant number, since it is smaller than the sum of its proper divisors (31326204361584).

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

13011200434320 is a wasteful number, since it uses less digits than its factorization.

13011200434320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37622181 (or 37622175 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 13011200434320 its reverse (2343400211031), we get a palindrome (15354600645351).

The spelling of 13011200434320 in words is "thirteen trillion, eleven billion, two hundred million, four hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 131 132 165 176 220 240 262 264 330 393 440 524 528 655 660 786 880 1048 1310 1320 1441 1572 1965 2096 2620 2640 2882 3144 3930 4323 5240 5764 6288 7205 7860 8646 10480 11528 14410 15720 17292 21615 23056 28820 31440 34584 43230 57640 69168 86460 115280 172920 345840 37622023 75244046 112866069 150488092 188110115 225732138 300976184 376220230 413842253 451464276 564330345 601952368 752440460 827684506 902928552 1128660690 1241526759 1504880920 1655369012 1805857104 2069211265 2257321380 2483053518 3009761840 3310738024 4138422530 4514642760 4928485013 4966107036 6207633795 6621476048 8276845060 9029285520 9856970026 9932214072 12415267590 14785455039 16553690120 19713940052 19864428144 24642425065 24830535180 29570910078 33107380240 39427880104 49284850130 49661070360 54213335143 59141820156 73927275195 78855760208 98569700260 99322140720 108426670286 118283640312 147854550390 162640005429 197139400520 216853340572 236567280624 271066675715 295709100780 325280010858 394278801040 433706681144 542133351430 591418201560 650560021716 813200027145 867413362288 1084266702860 1182836403120 1301120043432 1626400054290 2168533405720 2602240086864 3252800108580 4337066811440 6505600217160 13011200434320