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1012243110102 = 2327731314491871
BaseRepresentation
bin11101011101011100110…
…01000001100011010110
310120202202221222212012100
432232232121001203112
5113041033214010402
62053003522502530
7133063220320410
oct16565631014326
93522687885170
101012243110102
11360320934804
1214421a204a46
13745b98cc9a3
1436dc84699b0
151b4e650971c
hexebae6418d6

1012243110102 has 192 divisors, whose sum is σ = 2567311718400. Its totient is φ = 282291609600.

The previous prime is 1012243110101. The next prime is 1012243110119. The reversal of 1012243110102 is 2010113422101.

1012243110102 is a `hidden beast` number, since 1 + 0 + 122 + 431 + 10 + 102 = 666.

It is a super-2 number, since 2×10122431101022 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012243110101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 541016227 + ... + 541018097.

It is an arithmetic number, because the mean of its divisors is an integer number (13371415200).

Almost surely, 21012243110102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012243110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283655859200).

1012243110102 is an abundant number, since it is smaller than the sum of its proper divisors (1555068608298).

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

1012243110102 is a wasteful number, since it uses less digits than its factorization.

1012243110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2536 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1012243110102 its reverse (2010113422101), we get a palindrome (3022356532203).

The spelling of 1012243110102 in words is "one trillion, twelve billion, two hundred forty-three million, one hundred ten thousand, one hundred two".