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13553366561130 = 23511101443917927
BaseRepresentation
bin1100010100111010001110…
…0110010111000101101010
31202222200121102022102211010
43011032203212113011222
53234024243314424010
644454155230244350
72566125025640604
oct305164346270552
952880542272733
1013553366561130
114355a500a7470
12162a8970566b6
137741001916c6
1434bdb4b20174
1518784a4ae620
hexc53a399716a

13553366561130 has 128 divisors (see below), whose sum is σ = 35917450500096. Its totient is φ = 3245786336000.

The previous prime is 13553366561003. The next prime is 13553366561153. The reversal of 13553366561130 is 3116566335531.

13553366561130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13553366561130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14306227 + ... + 15224153.

It is an arithmetic number, because the mean of its divisors is an integer number (280605082032).

Almost surely, 213553366561130 is an apocalyptic number.

13553366561130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13553366561130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17958725250048).

13553366561130 is an abundant number, since it is smaller than the sum of its proper divisors (22364083938966).

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

13553366561130 is a wasteful number, since it uses less digits than its factorization.

13553366561130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918492.

The product of its (nonzero) digits is 2187000, while the sum is 48.

The spelling of 13553366561130 in words is "thirteen trillion, five hundred fifty-three billion, three hundred sixty-six million, five hundred sixty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 443 505 606 886 1010 1111 1329 1515 2215 2222 2658 3030 3333 4430 4873 5555 6645 6666 9746 11110 13290 14619 16665 24365 29238 33330 44743 48730 73095 89486 134229 146190 223715 268458 447430 492173 671145 917927 984346 1342290 1476519 1835854 2460865 2753781 2953038 4589635 4921730 5507562 7382595 9179270 10097197 13768905 14765190 20194394 27537810 30291591 50485985 60583182 92710627 100971970 151457955 185421254 278131881 302915910 406641661 463553135 556263762 813283322 927106270 1019816897 1219924983 1390659405 2033208305 2039633794 2439849966 2781318810 3059450691 4066416610 4473058271 5099084485 6099624915 6118901382 8946116542 10198168970 12199249830 13419174813 15297253455 22365291355 26838349626 30594506910 41070807761 44730582710 67095874065 82141615522 123212423283 134191748130 205354038805 246424846566 410708077610 451778885371 616062116415 903557770742 1232124232830 1355336656113 2258894426855 2710673312226 4517788853710 6776683280565 13553366561130