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223133210133300 = 223552376717532113
BaseRepresentation
bin110010101111000000111111…
…101110100100001100110100
31002021001022211001201202100000
4302233000333232210030310
5213221303303243231200
62110321552010351300
764666561646134215
oct6257007756441464
91067038731652300
10223133210133300
116510829905a915
122103886472b530
1397674aa05329c
143d159c270940c
151abe31822d300
hexcaf03fba4334

223133210133300 has 864 divisors, whose sum is σ = 756812329716352. Its totient is φ = 56970424811520.

The previous prime is 223133210133287. The next prime is 223133210133313. The reversal of 223133210133300 is 3331012331322.

223133210133300 is a `hidden beast` number, since 2 + 2 + 3 + 1 + 3 + 321 + 0 + 1 + 3 + 330 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (223133210133287) and next prime (223133210133313).

It is a super-3 number, since 3×2231332101333003 (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 105600193044 + ... + 105600195156.

Almost surely, 2223133210133300 is an apocalyptic number.

223133210133300 is a gapful number since it is divisible by the number (20) 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 223133210133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378406164858176).

223133210133300 is an abundant number, since it is smaller than the sum of its proper divisors (533679119583052).

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

223133210133300 is a wasteful number, since it uses less digits than its factorization.

223133210133300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3999 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 223133210133300 its reverse (3331012331322), we get a palindrome (226464222464622).

The spelling of 223133210133300 in words is "two hundred twenty-three trillion, one hundred thirty-three billion, two hundred ten million, one hundred thirty-three thousand, three hundred".