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13011423434220 = 2235594127890609
BaseRepresentation
bin1011110101010111010101…
…0001011001010111101100
31201001212202110201010001210
42331111311101121113230
53201134343344343340
643401210532234420
72512021126240341
oct275256521312754
951055673633053
1013011423434220
114167128359a22
12156184b46ba10
13734c8353a953
1432da8323a7c8
151786cc4b8180
hexbd5754595ec

13011423434220 has 96 divisors (see below), whose sum is σ = 37058495846400. Its totient is φ = 3410073908224.

The previous prime is 13011423434209. The next prime is 13011423434267. The reversal of 13011423434220 is 2243432411031.

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

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, 14164276 + ... + 15054884.

It is an arithmetic number, because the mean of its divisors is an integer number (386025998400).

Almost surely, 213011423434220 is an apocalyptic number.

13011423434220 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 13011423434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18529247923200).

13011423434220 is an abundant number, since it is smaller than the sum of its proper divisors (24047072412180).

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

13011423434220 is a wasteful number, since it uses less digits than its factorization.

13011423434220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894807 (or 894805 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 13011423434220 its reverse (2243432411031), we get a palindrome (15254855845251).

The spelling of 13011423434220 in words is "thirteen trillion, eleven billion, four hundred twenty-three million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 295 354 590 708 885 1180 1770 3540 4127 8254 12381 16508 20635 24762 41270 49524 61905 82540 123810 243493 247620 486986 730479 890609 973972 1217465 1460958 1781218 2434930 2671827 2921916 3562436 3652395 4453045 4869860 5343654 7304790 8906090 10687308 13359135 14609580 17812180 26718270 52545931 53436540 105091862 157637793 210183724 262729655 315275586 525459310 630551172 788188965 1050918620 1576377930 3152755860 3675543343 7351086686 11026630029 14702173372 18377716715 22053260058 36755433430 44106520116 55133150145 73510866860 110266300290 216857057237 220532600580 433714114474 650571171711 867428228948 1084285286185 1301142343422 2168570572370 2602284686844 3252855858555 4337141144740 6505711717110 13011423434220