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23101421200 = 24521113247661
BaseRepresentation
bin10101100000111100…
…111011011010010000
32012121222101210022121
4111200330323122100
5334302430434300
614340155344024
71445321561134
oct254074733220
965558353277
1023101421200
119885171740
124588752014
1322420ac800
14119216d3c4
1590319581a
hex560f3b690

23101421200 has 360 divisors, whose sum is σ = 67058672256. Its totient is φ = 7577856000.

The previous prime is 23101421183. The next prime is 23101421251. The reversal of 23101421200 is 212410132.

It is a super-2 number, since 2×231014212002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 71 ways as a sum of consecutive naturals, for example, 34948870 + ... + 34949530.

Almost surely, 223101421200 is an apocalyptic number.

23101421200 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 23101421200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33529336128).

23101421200 is an abundant number, since it is smaller than the sum of its proper divisors (43957251056).

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

23101421200 is a wasteful number, since it uses less digits than its factorization.

23101421200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 763 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 23101421200 its reverse (212410132), we get a palindrome (23313831332).

The spelling of 23101421200 in words is "twenty-three billion, one hundred one million, four hundred twenty-one thousand, two hundred".