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10145061316333 = 20175281952429
BaseRepresentation
bin1001001110100001010011…
…0001101010011011101101
31022220212011202200122100001
42103220110301222123231
52312204041144110313
633324324332304301
72064646035240016
oct223502461523355
938825152618301
1010145061316333
1132615506a5019
12117a220612091
135878a1497248
14271048a2000d
15128d6a17dadd
hex93a14c6a6ed

10145061316333 has 8 divisors (see below), whose sum is σ = 10152023754680. Its totient is φ = 10138100797440.

The previous prime is 10145061316307. The next prime is 10145061316349. The reversal of 10145061316333 is 33361316054101.

10145061316333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 203381156484 + 9941680159849 = 450978^2 + 3153043^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10145061316333 - 225 = 10145027761901 is a prime.

It is a super-2 number, since 2×101450613163332 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10145061316292 and 10145061316301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145061316363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10175563 + ... + 11127991.

It is an arithmetic number, because the mean of its divisors is an integer number (1269002969335).

Almost surely, 210145061316333 is an apocalyptic number.

It is an amenable number.

10145061316333 is a deficient number, since it is larger than the sum of its proper divisors (6962438347).

10145061316333 is an equidigital number, since it uses as much as digits as its factorization.

10145061316333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 959727.

The product of its (nonzero) digits is 58320, while the sum is 37.

The spelling of 10145061316333 in words is "ten trillion, one hundred forty-five billion, sixty-one million, three hundred sixteen thousand, three hundred thirty-three".

Divisors: 1 2017 5281 952429 10651777 1921049293 5029777549 10145061316333