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13010023123320 = 2335732141693677
BaseRepresentation
bin1011110101010010000111…
…0011101000100101111000
31201001202010212202221122010
42331110201303220211320
53201124011404421240
643400415550525520
72511641333631306
oct275244163504570
951052125687563
1013010023123320
114166579978693
12156151a5068a0
13734abc3b0812
1432d98d287276
151786495b1280
hexbd521ce8978

13010023123320 has 128 divisors (see below), whose sum is σ = 39583264472640. Its totient is φ = 3420211138560.

The previous prime is 13010023123313. The next prime is 13010023123333. The reversal of 13010023123320 is 2332132001031.

13010023123320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 18408322 + ... + 19101998.

Almost surely, 213010023123320 is an apocalyptic number.

13010023123320 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 13010023123320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791632236320).

13010023123320 is an abundant number, since it is smaller than the sum of its proper divisors (26573241349320).

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

13010023123320 is a wasteful number, since it uses less digits than its factorization.

13010023123320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695905 (or 695901 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 13010023123320 its reverse (2332132001031), we get a palindrome (15342155124351).

The spelling of 13010023123320 in words is "thirteen trillion, ten billion, twenty-three million, one hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1460 1752 2141 2190 2920 4282 4380 6423 8564 8760 10705 12846 17128 21410 25692 32115 42820 51384 64230 85640 128460 156293 256920 312586 468879 625172 693677 781465 937758 1250344 1387354 1562930 1875516 2081031 2344395 2774708 3125860 3468385 3751032 4162062 4688790 5549416 6251720 6936770 8324124 9377580 10405155 13873540 16648248 18755160 20810310 27747080 41620620 50638421 83241240 101276842 151915263 202553684 253192105 303830526 405107368 506384210 607661052 759576315 1012768420 1215322104 1485162457 1519152630 2025536840 2970324914 3038305260 4455487371 5940649828 6076610520 7425812285 8910974742 11881299656 14851624570 17821949484 22277436855 29703249140 35643898968 44554873710 59406498280 89109747420 108416859361 178219494840 216833718722 325250578083 433667437444 542084296805 650501156166 867334874888 1084168593610 1301002312332 1626252890415 2168337187220 2602004624664 3252505780830 4336674374440 6505011561660 13010023123320