Search a number
-
+
13200132211300 = 22522112772258479
BaseRepresentation
bin1100000000010110010100…
…1100010000001001100100
31201201220211220120020120201
43000011211030100021210
53212232332321230200
644024020152240244
72531451403336156
oct300054514201144
951656756506521
1013200132211300
11422a165563231
1215923356a0084
137499c84b8718
14338c658c0ad6
1517d574524c6a
hexc0165310264

13200132211300 has 72 divisors (see below), whose sum is σ = 28883953669760. Its totient is φ = 5236055395200.

The previous prime is 13200132211261. The next prime is 13200132211363. The reversal of 13200132211300 is 311223100231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4715461 + ... + 6973939.

Almost surely, 213200132211300 is an apocalyptic number.

13200132211300 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 13200132211300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14441976834880).

13200132211300 is an abundant number, since it is smaller than the sum of its proper divisors (15683821458460).

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

13200132211300 is a wasteful number, since it uses less digits than its factorization.

13200132211300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258981 (or 2258974 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 13200132211300 its reverse (311223100231), we get a palindrome (13511355311531).

The spelling of 13200132211300 in words is "thirteen trillion, two hundred billion, one hundred thirty-two million, two hundred eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 211 277 422 554 844 1055 1108 1385 2110 2770 4220 5275 5540 6925 10550 13850 21100 27700 58447 116894 233788 292235 584470 1168940 1461175 2258479 2922350 4516958 5844700 9033916 11292395 22584790 45169580 56461975 112923950 225847900 476539069 625598683 953078138 1251197366 1906156276 2382695345 2502394732 3127993415 4765390690 6255986830 9530781380 11913476725 12511973660 15639967075 23826953450 31279934150 47653906900 62559868300 132001322113 264002644226 528005288452 660006610565 1320013221130 2640026442260 3300033052825 6600066105650 13200132211300