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23114301320 = 2351198353441
BaseRepresentation
bin10101100001101110…
…000011111110001000
32012122212122011112002
4111201232003332020
5334314230120240
614341335410132
71445536214405
oct254156037610
965585564462
1023114301320
119891469770
124590b23948
13224496c296
141193b632ac
1590438bd15
hex561b83f88

23114301320 has 64 divisors (see below), whose sum is σ = 56793882240. Its totient is φ = 8396492800.

The previous prime is 23114301319. The next prime is 23114301341. The reversal of 23114301320 is 2310341132.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 23114301292 and 23114301301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 405800 + ... + 459240.

It is an arithmetic number, because the mean of its divisors is an integer number (887404410).

Almost surely, 223114301320 is an apocalyptic number.

23114301320 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 23114301320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28396941120).

23114301320 is an abundant number, since it is smaller than the sum of its proper divisors (33679580920).

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

23114301320 is a wasteful number, since it uses less digits than its factorization.

23114301320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54446 (or 54442 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 23114301320 its reverse (2310341132), we get a palindrome (25424642452).

The spelling of 23114301320 in words is "twenty-three billion, one hundred fourteen million, three hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 983 1966 3932 4915 7864 9830 10813 19660 21626 39320 43252 53441 54065 86504 106882 108130 213764 216260 267205 427528 432520 534410 587851 1068820 1175702 2137640 2351404 2939255 4702808 5878510 11757020 23514040 52532503 105065006 210130012 262662515 420260024 525325030 577857533 1050650060 1155715066 2101300120 2311430132 2889287665 4622860264 5778575330 11557150660 23114301320