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1034130322134 = 235713127184117
BaseRepresentation
bin11110000110001101111…
…10000111001011010110
310122212021022122102200000
433003012332013023112
5113420344330302014
62111023425432130
7134466466463250
oct17030676071326
93585238572600
101034130322134
11369632675098
1214850819b646
1376697281620
14380a324acd0
151bd77ca9509
hexf0c6f872d6

1034130322134 has 192 divisors, whose sum is σ = 2882351087616. Its totient is φ = 270588657024.

The previous prime is 1034130322111. The next prime is 1034130322151. The reversal of 1034130322134 is 4312230314301.

It is a happy number.

1034130322134 is a `hidden beast` number, since 1 + 0 + 3 + 413 + 0 + 32 + 213 + 4 = 666.

It is a super-2 number, since 2×10341303221342 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1034130322098 and 1034130322107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5524644 + ... + 5708760.

It is an arithmetic number, because the mean of its divisors is an integer number (15012245248).

Almost surely, 21034130322134 is an apocalyptic number.

1034130322134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1034130322134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1441175543808).

1034130322134 is an abundant number, since it is smaller than the sum of its proper divisors (1848220765482).

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

1034130322134 is a wasteful number, since it uses less digits than its factorization.

1034130322134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184281 (or 184269 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 1034130322134 its reverse (4312230314301), we get a palindrome (5346360636435).

The spelling of 1034130322134 in words is "one trillion, thirty-four billion, one hundred thirty million, three hundred twenty-two thousand, one hundred thirty-four".