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233113320000 = 2632541137243
BaseRepresentation
bin1101100100011010100…
…0101111101001000000
3211021201001211122000200
43121012220233221000
512304404002220000
6255031335245200
722561523345361
oct3310650575100
9737631748020
10233113320000
118a954434670
1239219219800
1318ca06c4052
14b3d5bcdb68
1560e5578500
hex3646a2fa40

233113320000 has 1260 divisors, whose sum is σ = 957913132176. Its totient is φ = 53706240000.

The previous prime is 233113319993. The next prime is 233113320049. The reversal of 233113320000 is 23311332.

233113320000 is a `hidden beast` number, since 2 + 331 + 1 + 332 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×2331133200002 (a number of 24 digits) contains 22 as substring.

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

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 179 ways as a sum of consecutive naturals, for example, 5421239979 + ... + 5421240021.

Almost surely, 2233113320000 is an apocalyptic number.

233113320000 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 233113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478956566088).

233113320000 is an abundant number, since it is smaller than the sum of its proper divisors (724799812176).

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

233113320000 is a wasteful number, since it uses less digits than its factorization.

233113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 233113320000 its reverse (23311332), we get a palindrome (233136631332).

233113320000 divided by its reverse (23311332) gives a 4-th power (10000 = 104).

It can be divided in two parts, 2331 and 13320000, that added together give a palindrome (13322331).

The spelling of 233113320000 in words is "two hundred thirty-three billion, one hundred thirteen million, three hundred twenty thousand".