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13023130220320 = 2551142191753853
BaseRepresentation
bin1011110110000010111100…
…0011001111011100100000
31201002222222100002110120011
42331200233003033130200
53201332332314022240
643410424325254304
72512614210260143
oct275405703173440
951088870073504
1013023130220320
114171095551660
121563b77b64394
137360caa0c40c
14330473d3005a
15178b6511a6ea
hexbd82f0cf720

13023130220320 has 96 divisors (see below), whose sum is σ = 33572132959680. Its totient is φ = 4734558551040.

The previous prime is 13023130220279. The next prime is 13023130220329. The reversal of 13023130220320 is 2302203132031.

13023130220320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 13023130220291 and 13023130220300.

It is not an unprimeable number, because it can be changed into a prime (13023130220329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6548514 + ... + 8302366.

It is an arithmetic number, because the mean of its divisors is an integer number (349709718330).

Almost surely, 213023130220320 is an apocalyptic number.

13023130220320 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 13023130220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16786066479840).

13023130220320 is an abundant number, since it is smaller than the sum of its proper divisors (20549002739360).

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

13023130220320 is a wasteful number, since it uses less digits than its factorization.

13023130220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1758098 (or 1758090 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 13023130220320 its reverse (2302203132031), we get a palindrome (15325333352351).

The spelling of 13023130220320 in words is "thirteen trillion, twenty-three billion, one hundred thirty million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 4219 8438 16876 21095 33752 42190 46409 67504 84380 92818 135008 168760 185636 232045 337520 371272 464090 675040 742544 928180 1485088 1753853 1856360 3507706 3712720 7015412 7425440 8769265 14030824 17538530 19292383 28061648 35077060 38584766 56123296 70154120 77169532 96461915 140308240 154339064 192923830 280616480 308678128 385847660 617356256 771695320 1543390640 3086781280 7399505807 14799011614 29598023228 36997529035 59196046456 73995058070 81394563877 118392092912 147990116140 162789127754 236784185824 295980232280 325578255508 406972819385 591960464560 651156511016 813945638770 1183920929120 1302313022032 1627891277540 2604626044064 3255782555080 6511565110160 13023130220320