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23302213011000 = 23325371188138167
BaseRepresentation
bin1010100110001011110000…
…01000010000011000111000
310001111200002021211102020100
411103011320020100120320
511023240413012323000
6121320515555155400
74623346363340430
oct523057010203070
9101450067742210
1023302213011000
11747445a836a20
12274415bba5b60
13100050a27b0b1
145a7b9415d2c0
152a62261c5a00
hex153178210638

23302213011000 has 768 divisors, whose sum is σ = 98310166456320. Its totient is φ = 4836395520000.

The previous prime is 23302213010971. The next prime is 23302213011017. The reversal of 23302213011000 is 11031220332.

23302213011000 is a `hidden beast` number, since 2 + 330 + 2 + 21 + 301 + 10 + 0 + 0 = 666.

It is a super-2 number, since 2×233022130110002 (a number of 28 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 191 ways as a sum of consecutive naturals, for example, 610513917 + ... + 610552083.

It is an arithmetic number, because the mean of its divisors is an integer number (128008029240).

Almost surely, 223302213011000 is an apocalyptic number.

23302213011000 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 23302213011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49155083228160).

23302213011000 is an abundant number, since it is smaller than the sum of its proper divisors (75007953445320).

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

23302213011000 is a wasteful number, since it uses less digits than its factorization.

23302213011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39093 (or 39076 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 23302213011000 its reverse (11031220332), we get a palindrome (23313244231332).

The spelling of 23302213011000 in words is "twenty-three trillion, three hundred two billion, two hundred thirteen million, eleven thousand".