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10453212000 = 253453711419
BaseRepresentation
bin10011011110000111…
…10101101101100000
3222222111120012010000
421233003311231200
5132402010241000
64445132340000
7520016556510
oct115703655540
928874505100
1010453212000
114484624990
122038914600
13ca787015a
14712419840
15412a83000
hex26f0f5b60

10453212000 has 960 divisors, whose sum is σ = 47948060160. Its totient is φ = 2166912000.

The previous prime is 10453211999. The next prime is 10453212001. The reversal of 10453212000 is 21235401.

10453212000 is a `hidden beast` number, since 1 + 0 + 453 + 212 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10453211999) and next prime (10453212001).

It is a super-2 number, since 2×104532120002 (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 not an unprimeable number, because it can be changed into a prime (10453212001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24947791 + ... + 24948209.

It is an arithmetic number, because the mean of its divisors is an integer number (49945896).

Almost surely, 210453212000 is an apocalyptic number.

10453212000 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 10453212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23974030080).

10453212000 is an abundant number, since it is smaller than the sum of its proper divisors (37494848160).

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

10453212000 is a wasteful number, since it uses less digits than its factorization.

10453212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10453212000 its reverse (21235401), we get a palindrome (10474447401).

The spelling of 10453212000 in words is "ten billion, four hundred fifty-three million, two hundred twelve thousand".