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1010131223463 = 32377929700133
BaseRepresentation
bin11101011001100001000…
…00110100001110100111
310120120022210002220100200
432230300200310032213
5113022222043122323
62052014201441543
7132656664505455
oct16546040641647
93516283086320
101010131223463
1135a43781804a
1214392aaa02b3
137434120c61b
1436c67ba79d5
151b420de5443
hexeb308343a7

1010131223463 has 12 divisors (see below), whose sum is σ = 1459464584760. Its totient is φ = 673242592176.

The previous prime is 1010131223419. The next prime is 1010131223473. The reversal of 1010131223463 is 3643221310101.

It is a happy number.

1010131223463 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 312 + 2 + 346 + 3 = 666.

It is not a de Polignac number, because 1010131223463 - 216 = 1010131157927 is a prime.

It is a super-2 number, since 2×10101312234632 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010131223473) 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 11 ways as a sum of consecutive naturals, for example, 14816056 + ... + 14884077.

It is an arithmetic number, because the mean of its divisors is an integer number (121622048730).

Almost surely, 21010131223463 is an apocalyptic number.

1010131223463 is a deficient number, since it is larger than the sum of its proper divisors (449333361297).

1010131223463 is a wasteful number, since it uses less digits than its factorization.

1010131223463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29703918 (or 29703915 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 1010131223463 its reverse (3643221310101), we get a palindrome (4653352533564).

The spelling of 1010131223463 in words is "one trillion, ten billion, one hundred thirty-one million, two hundred twenty-three thousand, four hundred sixty-three".

Divisors: 1 3 9 3779 11337 34011 29700133 89100399 267301197 112236802607 336710407821 1010131223463