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10520431115148 = 2232292234197643
BaseRepresentation
bin1001100100010111101010…
…0011110011101110001100
31101020202001221012011010100
42121011322203303232030
52334331320331141043
634213004102011100
72134035043004223
oct231057243635614
941222057164110
1010520431115148
113396765108749
12121ab1b116a90
135b40c3097c36
142852979bbcba
151339d959ecd3
hex9917a8f3b8c

10520431115148 has 18 divisors (see below), whose sum is σ = 26593311985604. Its totient is φ = 3506810371704.

The previous prime is 10520431115147. The next prime is 10520431115149. The reversal of 10520431115148 is 84151113402501.

10520431115148 is a `hidden beast` number, since 1 + 0 + 5 + 20 + 4 + 3 + 111 + 514 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10520431115147) and next prime (10520431115149).

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105204311151482 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 292234197643 = 10520431115148 / (1 + 0 + 5 + 2 + 0 + 4 + 3 + 1 + 1 + 1 + 5 + 1 + 4 + 8).

It is not an unprimeable number, because it can be changed into a prime (10520431115147) 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 5 ways as a sum of consecutive naturals, for example, 146117098786 + ... + 146117098857.

Almost surely, 210520431115148 is an apocalyptic number.

10520431115148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10520431115148 is an abundant number, since it is smaller than the sum of its proper divisors (16072880870456).

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

10520431115148 is a wasteful number, since it uses less digits than its factorization.

10520431115148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292234197653 (or 292234197648 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

Adding to 10520431115148 its reverse (84151113402501), we get a palindrome (94671544517649).

The spelling of 10520431115148 in words is "ten trillion, five hundred twenty billion, four hundred thirty-one million, one hundred fifteen thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 292234197643 584468395286 876702592929 1168936790572 1753405185858 2630107778787 3506810371716 5260215557574 10520431115148