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23101221312 = 26321328110979
BaseRepresentation
bin10101100000111100…
…001010100111000000
32012121222000122010100
4111200330022213000
5334302403040222
614340151202400
71445320066311
oct254074124700
965558018110
1023101221312
119885045544
124588676400
13224203c830
14119211a608
159031564ac
hex560f0a9c0

23101221312 has 168 divisors, whose sum is σ = 71569265040. Its totient is φ = 7082127360.

The previous prime is 23101221293. The next prime is 23101221313. The reversal of 23101221312 is 21312210132.

23101221312 is a `hidden beast` number, since 231 + 0 + 122 + 1 + 312 = 666.

It is a super-2 number, since 2×231012213122 (a number of 22 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 (23101221313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098639 + ... + 2109617.

It is an arithmetic number, because the mean of its divisors is an integer number (426007530).

Almost surely, 223101221312 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 23101221312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35784632520).

23101221312 is an abundant number, since it is smaller than the sum of its proper divisors (48468043728).

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

23101221312 is a wasteful number, since it uses less digits than its factorization.

23101221312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11291 (or 11278 counting only the distinct ones).

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

Adding to 23101221312 its reverse (21312210132), we get a palindrome (44413431444).

The spelling of 23101221312 in words is "twenty-three billion, one hundred one million, two hundred twenty-one thousand, three hundred twelve".