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23130000312 = 2334340954799
BaseRepresentation
bin10101100010101001…
…111100101110111000
32012200222011202111020
4111202221330232320
5334332240002222
614343100102440
71446116521146
oct254251745670
965628152436
1023130000312
11989a311641
124596234a20
132247ca7b23
141195c8c596
1590593d65c
hex562a7cbb8

23130000312 has 64 divisors (see below), whose sum is σ = 59315520000. Its totient is φ = 7512148224.

The previous prime is 23130000307. The next prime is 23130000323. The reversal of 23130000312 is 21300003132.

It is a junction number, because it is equal to n+sod(n) for n = 23130000291 and 23130000300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 394689 + ... + 449487.

It is an arithmetic number, because the mean of its divisors is an integer number (926805000).

Almost surely, 223130000312 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 23130000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29657760000).

23130000312 is an abundant number, since it is smaller than the sum of its proper divisors (36185519688).

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

23130000312 is a wasteful number, since it uses less digits than its factorization.

23130000312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55260 (or 55256 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 23130000312 its reverse (21300003132), we get a palindrome (44430003444).

The spelling of 23130000312 in words is "twenty-three billion, one hundred thirty million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 409 516 818 1032 1227 1636 2454 3272 4908 9816 17587 35174 52761 54799 70348 105522 109598 140696 164397 211044 219196 328794 422088 438392 657588 1315176 2356357 4712714 7069071 9425428 14138142 18850856 22412791 28276284 44825582 56552568 67238373 89651164 134476746 179302328 268953492 537906984 963750013 1927500026 2891250039 3855000052 5782500078 7710000104 11565000156 23130000312