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10523423001331 = 411572261972277
BaseRepresentation
bin1001100100100010110011…
…1000111100101011110011
31101021000210102221201101201
42121020230320330223303
52334403432242020311
634214221020312031
72134202142424402
oct231105470745363
941230712851351
1010523423001331
113397a5aa37059
12121b6150a2617
135b447bb9b2a6
1428549d0b1639
15133b1208e9c1
hex9922ce3caf3

10523423001331 has 16 divisors (see below), whose sum is σ = 10849384596960. Its totient is φ = 10200768664320.

The previous prime is 10523423001313. The next prime is 10523423001349. The reversal of 10523423001331 is 13310032432501.

It is an interprime number because it is at equal distance from previous prime (10523423001313) and next prime (10523423001349).

It is a cyclic number.

It is not a de Polignac number, because 10523423001331 - 211 = 10523422999283 is a prime.

It is a super-2 number, since 2×105234230013312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10523423001331.

It is not an unprimeable number, because it can be changed into a prime (10523423071331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145562365 + ... + 145634641.

It is an arithmetic number, because the mean of its divisors is an integer number (678086537310).

Almost surely, 210523423001331 is an apocalyptic number.

10523423001331 is a deficient number, since it is larger than the sum of its proper divisors (325961595629).

10523423001331 is a wasteful number, since it uses less digits than its factorization.

10523423001331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95094.

The product of its (nonzero) digits is 6480, while the sum is 28.

Adding to 10523423001331 its reverse (13310032432501), we get a palindrome (23833455433832).

The spelling of 10523423001331 in words is "ten trillion, five hundred twenty-three billion, four hundred twenty-three million, one thousand, three hundred thirty-one".

Divisors: 1 41 157 6437 22619 72277 927379 2963357 3551183 11347489 145598503 465247049 1634833463 67028171983 256668853691 10523423001331