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233211210030 = 23255371739433
BaseRepresentation
bin1101100100110001111…
…0001010100100101110
3211021221220000221220100
43121030132022210232
512310104032210110
6255045153331530
722564122402141
oct3311436124456
9737856027810
10233211210030
118a9a4714917
1239245b66ba6
1318cb7a79346
14b404bd2058
1560ede62bc0
hex364c78a92e

233211210030 has 192 divisors, whose sum is σ = 635140351872. Its totient is φ = 59326525440.

The previous prime is 233211210017. The next prime is 233211210061. The reversal of 233211210030 is 30012112332.

233211210030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 233211209985 and 233211210012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24718194 + ... + 24727626.

It is an arithmetic number, because the mean of its divisors is an integer number (3308022666).

Almost surely, 2233211210030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233211210030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317570175936).

233211210030 is an abundant number, since it is smaller than the sum of its proper divisors (401929141842).

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

233211210030 is a wasteful number, since it uses less digits than its factorization.

233211210030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9643 (or 9640 counting only the distinct ones).

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

Adding to 233211210030 its reverse (30012112332), we get a palindrome (263223322362).

The spelling of 233211210030 in words is "two hundred thirty-three billion, two hundred eleven million, two hundred ten thousand, thirty".