Search a number
-
+
13003551533100 = 2235297769581089
BaseRepresentation
bin1011110100111010000000…
…0100011110100000101100
31201001010102212100002210110
42331032200010132200230
53201022233143024400
643353425450140020
72511322062212322
oct275164004364054
951033385302713
1013003551533100
114163858925117
121560213121610
137342ca6c8bab
1432d537999d12
151783bb372e50
hexbd3a011e82c

13003551533100 has 144 divisors (see below), whose sum is σ = 38060976615200. Its totient is φ = 3427396485120.

The previous prime is 13003551533051. The next prime is 13003551533143. The reversal of 13003551533100 is 133515530031.

It is a super-2 number, since 2×130035515331002 (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22087356 + ... + 22668444.

Almost surely, 213003551533100 is an apocalyptic number.

13003551533100 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 13003551533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19030488307600).

13003551533100 is an abundant number, since it is smaller than the sum of its proper divisors (25057425082100).

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

13003551533100 is a wasteful number, since it uses less digits than its factorization.

13003551533100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581972 (or 581965 counting only the distinct ones).

The product of its (nonzero) digits is 10125, while the sum is 30.

The spelling of 13003551533100 in words is "thirteen trillion, three billion, five hundred fifty-one million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 97 100 150 194 291 300 388 485 582 769 970 1164 1455 1538 1940 2307 2425 2910 3076 3845 4614 4850 5820 7275 7690 9228 9700 11535 14550 15380 19225 23070 29100 38450 46140 57675 74593 76900 115350 149186 223779 230700 298372 372965 447558 581089 745930 895116 1118895 1162178 1491860 1743267 1864825 2237790 2324356 2905445 3486534 3729650 4475580 5594475 5810890 6973068 7459300 8716335 11188950 11621780 14527225 17432670 22377900 29054450 34865340 43581675 56365633 58108900 87163350 112731266 169096899 174326700 225462532 281828165 338193798 446857441 563656330 676387596 845484495 893714882 1127312660 1340572323 1409140825 1690968990 1787429764 2234287205 2681144646 2818281650 3381937980 4227422475 4468574410 5362289292 5636563300 6702861615 8454844950 8937148820 11171436025 13405723230 16909689900 22342872050 26811446460 33514308075 43345171777 44685744100 67028616150 86690343554 130035515331 134057232300 173380687108 216725858885 260071030662 433451717770 520142061324 650177576655 866903435540 1083629294425 1300355153310 2167258588850 2600710306620 3250887883275 4334517177700 6501775766550 13003551533100