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10083041280 = 21632513263
BaseRepresentation
bin10010110001111111…
…10000000000000000
3222000201000120100100
421120333300000000
5131122224310110
64344310322400
7504603302544
oct113077600000
928021016310
1010083041280
114304683174
121b54959400
13c48c73c20
146b91bba24
153e0312bc0
hex258ff0000

10083041280 has 408 divisors, whose sum is σ = 37786196448. Its totient is φ = 2472542208.

The previous prime is 10083041279. The next prime is 10083041281. The reversal of 10083041280 is 8214038001.

It is an interprime number because it is at equal distance from previous prime (10083041279) and next prime (10083041281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10083041281) 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, 38338429 + ... + 38338691.

Almost surely, 210083041280 is an apocalyptic number.

10083041280 is a gapful number since it is divisible by the number (10) 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 10083041280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18893098224).

10083041280 is an abundant number, since it is smaller than the sum of its proper divisors (27703155168).

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

10083041280 is an equidigital number, since it uses as much as digits as its factorization.

10083041280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

Adding to 10083041280 its reverse (8214038001), we get a palindrome (18297079281).

The spelling of 10083041280 in words is "ten billion, eighty-three million, forty-one thousand, two hundred eighty".