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23140412300 = 2252417179493
BaseRepresentation
bin10101100011010001…
…101010101110001100
32012201200202202001102
4111203101222232030
5334342421143200
614344111202232
71446304154615
oct254321525614
965650682042
1023140412300
1198a5183295
124599816378
13224a1b2075
1411973dcc0c
159067e86d5
hex56346ab8c

23140412300 has 72 divisors (see below), whose sum is σ = 52164598752. Its totient is φ = 8903104000.

The previous prime is 23140412287. The next prime is 23140412329. The reversal of 23140412300 is 321404132.

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

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 23 ways as a sum of consecutive naturals, for example, 251354 + ... + 330846.

It is an arithmetic number, because the mean of its divisors is an integer number (724508316).

Almost surely, 223140412300 is an apocalyptic number.

23140412300 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 23140412300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26082299376).

23140412300 is an abundant number, since it is smaller than the sum of its proper divisors (29024186452).

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

23140412300 is a wasteful number, since it uses less digits than its factorization.

23140412300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79619 (or 79612 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 23140412300 its reverse (321404132), we get a palindrome (23461816432).

The spelling of 23140412300 in words is "twenty-three billion, one hundred forty million, four hundred twelve thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 71 82 100 142 164 205 284 355 410 710 820 1025 1420 1775 2050 2911 3550 4100 5822 7100 11644 14555 29110 58220 72775 79493 145550 158986 291100 317972 397465 794930 1589860 1987325 3259213 3974650 5644003 6518426 7949300 11288006 13036852 16296065 22576012 28220015 32592130 56440030 65184260 81480325 112880060 141100075 162960650 231404123 282200150 325921300 462808246 564400300 925616492 1157020615 2314041230 4628082460 5785103075 11570206150 23140412300