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10141233300 = 223252112935323
BaseRepresentation
bin10010111000111011…
…01111000010010100
3222011202112000210100
421130131233002110
5131232123431200
64354145454100
7506211026562
oct113435570224
928152460710
1010141233300
114334509750
121b70341330
13c58039c83
146c2c08a32
153e54a9d00
hex25c76f094

10141233300 has 216 divisors, whose sum is σ = 35873641440. Its totient is φ = 2373638400.

The previous prime is 10141233281. The next prime is 10141233317. The reversal of 10141233300 is 333214101.

10141233300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101412333002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 269439 + ... + 304761.

Almost surely, 210141233300 is an apocalyptic number.

10141233300 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 10141233300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17936820720).

10141233300 is an abundant number, since it is smaller than the sum of its proper divisors (25732408140).

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

10141233300 is a wasteful number, since it uses less digits than its factorization.

10141233300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35383 (or 35373 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10141233300 its reverse (333214101), we get a palindrome (10474447401).

The spelling of 10141233300 in words is "ten billion, one hundred forty-one million, two hundred thirty-three thousand, three hundred".