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13034435160 = 23351715740697
BaseRepresentation
bin11000010001110100…
…11011001001011000
31020122101120220121210
430020322123021120
5203143303411120
65553221103120
7641001604455
oct141072331130
936571526553
1013034435160
11558966506a
122639257aa0
1312c956a636
148b917082c
155144a4ce0
hex308e9b258

13034435160 has 128 divisors (see below), whose sum is σ = 41668240320. Its totient is φ = 3250470912.

The previous prime is 13034435159. The next prime is 13034435171. The reversal of 13034435160 is 6153443031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 299932 + ... + 340628.

Almost surely, 213034435160 is an apocalyptic number.

13034435160 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 13034435160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834120160).

13034435160 is an abundant number, since it is smaller than the sum of its proper divisors (28633805160).

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

13034435160 is a wasteful number, since it uses less digits than its factorization.

13034435160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40885 (or 40881 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 13034435160 its reverse (6153443031), we get a palindrome (19187878191).

The spelling of 13034435160 in words is "thirteen billion, thirty-four million, four hundred thirty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 157 170 204 255 314 340 408 471 510 628 680 785 942 1020 1256 1570 1884 2040 2355 2669 3140 3768 4710 5338 6280 8007 9420 10676 13345 16014 18840 21352 26690 32028 40035 40697 53380 64056 80070 81394 106760 122091 160140 162788 203485 244182 320280 325576 406970 488364 610455 691849 813940 976728 1220910 1383698 1627880 2075547 2441820 2767396 3459245 4151094 4883640 5534792 6389429 6918490 8302188 10377735 12778858 13836980 16604376 19168287 20755470 25557716 27673960 31947145 38336574 41510940 51115432 63894290 76673148 83021880 95841435 108620293 127788580 153346296 191682870 217240586 255577160 325860879 383365740 434481172 543101465 651721758 766731480 868962344 1086202930 1303443516 1629304395 2172405860 2606887032 3258608790 4344811720 6517217580 13034435160