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113333002200222 = 237831031145921613
BaseRepresentation
bin11001110001001101100101…
…010101100110010010011110
3112212021112021210012120011020
4121301031211111212102132
5104323321442030401342
61041012243520105010
732605016306003430
oct3161154525462236
9485245253176136
10113333002200222
113312529017a702
1210864841165166
134b31343c99b8c
141ddb4bd000650
15d180b8aba0ec
hex67136556649e

113333002200222 has 128 divisors (see below), whose sum is σ = 262614208389120. Its totient is φ = 31936315201920.

The previous prime is 113333002200221. The next prime is 113333002200247. The reversal of 113333002200222 is 222002200333311.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 113333002200192 and 113333002200201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113333002200221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5243731488 + ... + 5243753100.

It is an arithmetic number, because the mean of its divisors is an integer number (2051673503040).

Almost surely, 2113333002200222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113333002200222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131307104194560).

113333002200222 is an abundant number, since it is smaller than the sum of its proper divisors (149281206188898).

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

113333002200222 is a wasteful number, since it uses less digits than its factorization.

113333002200222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24198.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 113333002200222 its reverse (222002200333311), we get a palindrome (335335202533533).

The spelling of 113333002200222 in words is "one hundred thirteen trillion, three hundred thirty-three billion, two million, two hundred thousand, two hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 83 166 249 498 581 1031 1162 1459 1743 2062 2918 3093 3486 4377 6186 7217 8754 10213 14434 20426 21613 21651 30639 43226 43302 61278 64839 85573 121097 129678 151291 171146 242194 256719 302582 363291 453873 513438 599011 726582 847679 907746 1198022 1504229 1695358 1793879 1797033 2543037 3008458 3587758 3594066 4512687 5086074 5381637 9025374 10529603 10763274 12557153 21059206 22283003 25114306 31533367 31588809 37671459 44566006 63066734 63177618 66849009 75342918 94600101 124851007 133698018 155981021 189200202 220733569 249702014 311962042 374553021 441467138 467943063 662200707 749106042 873957049 935886126 1324401414 1747914098 1849489249 2617269461 2621871147 3698978498 5234538922 5243742294 5548467747 7851808383 11096935494 12946424743 15703616766 18320886227 25892849486 32510901377 36641772454 38839274229 54962658681 65021802754 77678548458 97532704131 109925317362 195065408262 227576309639 455152619278 682728928917 1365457857834 2698404814291 5396809628582 8095214442873 16190428885746 18888833700037 37777667400074 56666501100111 113333002200222