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23140322100 = 223252741101887
BaseRepresentation
bin10101100011010001…
…010100101100110100
32012201200121011022200
4111203101110230310
5334342410301400
614344105224500
71446303330630
oct254321245464
965650534280
1023140322100
1198a5121545
124599792130
13224a17ccac
1411973b7dc0
159067cbb00
hex563454b34

23140322100 has 432 divisors, whose sum is σ = 85853005056. Its totient is φ = 5103360000.

The previous prime is 23140322069. The next prime is 23140322111. The reversal of 23140322100 is 122304132.

23140322100 is a `hidden beast` number, since 231 + 403 + 22 + 10 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26087857 + ... + 26088743.

It is an arithmetic number, because the mean of its divisors is an integer number (198733808).

Almost surely, 223140322100 is an apocalyptic number.

23140322100 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 23140322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42926502528).

23140322100 is an abundant number, since it is smaller than the sum of its proper divisors (62712682956).

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

23140322100 is a wasteful number, since it uses less digits than its factorization.

23140322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 23140322100 its reverse (122304132), we get a palindrome (23262626232).

It can be divided in two parts, 2314032 and 2100, that added together give a palindrome (2316132).

The spelling of 23140322100 in words is "twenty-three billion, one hundred forty million, three hundred twenty-two thousand, one hundred".