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13023203133000 = 2335326571633823
BaseRepresentation
bin1011110110000011001101…
…1001011000011001001000
31201010000011102021210221210
42331200303121120121020
53201333010000224000
643410435452133120
72512616054104434
oct275406331303110
951100142253853
1013023203133000
114171122721a75
121563b984671a0
1373610cb5a908
1433047d8ad9c4
15178b6b71e350
hexbd833658648

13023203133000 has 128 divisors (see below), whose sum is σ = 40647711237120. Its totient is φ = 3471544985600.

The previous prime is 13023203132917. The next prime is 13023203133011. The reversal of 13023203133000 is 33130232031.

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, 7154089 + ... + 8787911.

It is an arithmetic number, because the mean of its divisors is an integer number (317560244040).

Almost surely, 213023203133000 is an apocalyptic number.

13023203133000 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 13023203133000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20323855618560).

13023203133000 is an abundant number, since it is smaller than the sum of its proper divisors (27624508104120).

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

13023203133000 is a wasteful number, since it uses less digits than its factorization.

13023203133000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636504 (or 1636490 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 13023203133000 its reverse (33130232031), we get a palindrome (13056333365031).

The spelling of 13023203133000 in words is "thirteen trillion, twenty-three billion, two hundred three million, one hundred thirty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 2657 3000 5314 7971 10628 13285 15942 21256 26570 31884 39855 53140 63768 66425 79710 106280 132850 159420 199275 265700 318840 332125 398550 531400 664250 797100 996375 1328500 1594200 1633823 1992750 2657000 3267646 3985500 4901469 6535292 7971000 8169115 9802938 13070584 16338230 19605876 24507345 32676460 39211752 40845575 49014690 65352920 81691150 98029380 122536725 163382300 196058760 204227875 245073450 326764600 408455750 490146900 612683625 816911500 980293800 1225367250 1633823000 2450734500 4341067711 4901469000 8682135422 13023203133 17364270844 21705338555 26046406266 34728541688 43410677110 52092812532 65116015665 86821354220 104185625064 108526692775 130232031330 173642708440 217053385550 260464062660 325580078325 434106771100 520928125320 542633463875 651160156650 868213542200 1085266927750 1302320313300 1627900391625 2170533855500 2604640626600 3255800783250 4341067711000 6511601566500 13023203133000