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23141001312 = 253211132112663
BaseRepresentation
bin10101100011010011…
…111010100001100000
32012201201212200000200
4111203103322201200
5334343044020222
614344131545200
71446312160062
oct254323724140
965651780020
1023141001312
1198a5545880
124599a5b200
13224a35a1b0
141197513732
159068b2eac
hex5634fa860

23141001312 has 288 divisors, whose sum is σ = 77707558656. Its totient is φ = 6439910400.

The previous prime is 23141001287. The next prime is 23141001349. The reversal of 23141001312 is 21310014132.

23141001312 is a `hidden beast` number, since 231 + 410 + 0 + 13 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 8688493 + ... + 8691155.

It is an arithmetic number, because the mean of its divisors is an integer number (269817912).

Almost surely, 223141001312 is an apocalyptic number.

23141001312 is a gapful number since it is divisible by the number (22) 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 23141001312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38853779328).

23141001312 is an abundant number, since it is smaller than the sum of its proper divisors (54566557344).

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

23141001312 is a wasteful number, since it uses less digits than its factorization.

23141001312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2914 (or 2903 counting only the distinct ones).

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

Adding to 23141001312 its reverse (21310014132), we get a palindrome (44451015444).

The spelling of 23141001312 in words is "twenty-three billion, one hundred forty-one million, one thousand, three hundred twelve".