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233121120102 = 2321323831015167
BaseRepresentation
bin1101100100011100011…
…0011111111101100110
3211021201121111220202100
43121013012133331212
512304413001320402
6255032214352530
722561646553243
oct3310706377546
9737647456670
10233121120102
118a958881a32
123921b95b746
1318ca21c54b0
14b3d6c605ca
1560e60b971c
hex364719ff66

233121120102 has 192 divisors, whose sum is σ = 580237572096. Its totient is φ = 67100140800.

The previous prime is 233121120097. The next prime is 233121120107. The reversal of 233121120102 is 201021121332.

233121120102 is a `hidden beast` number, since 2 + 331 + 211 + 20 + 102 = 666.

It is an interprime number because it is at equal distance from previous prime (233121120097) and next prime (233121120107).

It is a super-2 number, since 2×2331211201022 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233121120107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 45114723 + ... + 45119889.

It is an arithmetic number, because the mean of its divisors is an integer number (3022070688).

Almost surely, 2233121120102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 233121120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290118786048).

233121120102 is an abundant number, since it is smaller than the sum of its proper divisors (347116451994).

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

233121120102 is a wasteful number, since it uses less digits than its factorization.

233121120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5392 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 233121120102 its reverse (201021121332), we get a palindrome (434142241434).

The spelling of 233121120102 in words is "two hundred thirty-three billion, one hundred twenty-one million, one hundred twenty thousand, one hundred two".