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13210112203200 = 26325211401207973
BaseRepresentation
bin1100000000111011100000…
…0010111001100111000000
31201202212121102200100202100
43000032320002321213000
53212413302211000300
644032350342150400
72532253616016363
oct300167002714700
951685542610670
1013210112203200
114233416a51920
12159425ba22400
1374a928cbbb83
143395311160da
1517d95a77e700
hexc03b80b99c0

13210112203200 has 504 divisors, whose sum is σ = 51348186626256. Its totient is φ = 3194449920000.

The previous prime is 13210112203187. The next prime is 13210112203237. The reversal of 13210112203200 is 230221101231.

13210112203200 is a `hidden beast` number, since 1 + 3 + 210 + 112 + 20 + 320 + 0 = 666.

It is a super-2 number, since 2×132101122032002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 63414414 + ... + 63622386.

Almost surely, 213210112203200 is an apocalyptic number.

13210112203200 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 13210112203200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25674093313128).

13210112203200 is an abundant number, since it is smaller than the sum of its proper divisors (38138074423056).

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

13210112203200 is a wasteful number, since it uses less digits than its factorization.

13210112203200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208413 (or 208395 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13210112203200 its reverse (230221101231), we get a palindrome (13440333304431).

The spelling of 13210112203200 in words is "thirteen trillion, two hundred ten billion, one hundred twelve million, two hundred three thousand, two hundred".