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10451141145 = 3251012299481
BaseRepresentation
bin10011011101110111…
…11100001000011001
3222222100122222102200
421232323330020121
5132400443004040
64445020120413
7516663143154
oct115673741031
928870588380
1010451141145
114483440035
122038096109
13ca72c66b3
1471203ac9b
154127c4630
hex26eefc219

10451141145 has 24 divisors (see below), whose sum is σ = 18294678792. Its totient is φ = 5518752000.

The previous prime is 10451141111. The next prime is 10451141147. The reversal of 10451141145 is 54114115401.

It is a happy number.

10451141145 is a `hidden beast` number, since 1 + 0 + 4 + 511 + 4 + 1 + 145 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7250863104 + 3200278041 = 85152^2 + 56571^2 .

It is not a de Polignac number, because 10451141145 - 26 = 10451141081 is a prime.

It is a super-2 number, since 2×104511411452 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10451141147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145196 + ... + 1154285.

It is an arithmetic number, because the mean of its divisors is an integer number (762278283).

Almost surely, 210451141145 is an apocalyptic number.

10451141145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10451141145 is a deficient number, since it is larger than the sum of its proper divisors (7843537647).

10451141145 is a wasteful number, since it uses less digits than its factorization.

10451141145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2299593 (or 2299590 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 27.

Adding to 10451141145 its reverse (54114115401), we get a palindrome (64565256546).

The spelling of 10451141145 in words is "ten billion, four hundred fifty-one million, one hundred forty-one thousand, one hundred forty-five".

Divisors: 1 3 5 9 15 45 101 303 505 909 1515 4545 2299481 6898443 11497405 20695329 34492215 103476645 232247581 696742743 1161237905 2090228229 3483713715 10451141145