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23133213012 = 223721317672657
BaseRepresentation
bin10101100010110110…
…001101000101010100
32012201012012222111010
4111202312031011110
5334334100304022
614343253012220
71446156031500
oct254266150524
965635188433
1023133213012
1198a1106368
124597324070
132248861230
141196487300
15905d7550c
hex562d8d154

23133213012 has 288 divisors, whose sum is σ = 72693790848. Its totient is φ = 5654347776.

The previous prime is 23133213011. The next prime is 23133213073. The reversal of 23133213012 is 21031233132.

It is a super-2 number, since 2×231332130122 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 23133213012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133213011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8705188 + ... + 8707844.

It is an arithmetic number, because the mean of its divisors is an integer number (252408996).

Almost surely, 223133213012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23133213012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36346895424).

23133213012 is an abundant number, since it is smaller than the sum of its proper divisors (49560577836).

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

23133213012 is a wasteful number, since it uses less digits than its factorization.

23133213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 23133213012 its reverse (21031233132), we get a palindrome (44164446144).

The spelling of 23133213012 in words is "twenty-three billion, one hundred thirty-three million, two hundred thirteen thousand, twelve".