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10314130134 = 2371133167447
BaseRepresentation
bin10011001101100010…
…10010001011010110
3222121210212002122210
421212301102023112
5132110404131014
64423243334250
7513410442150
oct114661221326
928553762583
1010314130134
11441306a6a0
121bba221386
13c84ac49a9
146dbb73ad0
1540575d859
hex266c522d6

10314130134 has 64 divisors (see below), whose sum is σ = 25796431872. Its totient is φ = 2670861600.

The previous prime is 10314130133. The next prime is 10314130139. The reversal of 10314130134 is 43103141301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 10314130134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314130133) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119199 + ... + 186645.

It is an arithmetic number, because the mean of its divisors is an integer number (403069248).

Almost surely, 210314130134 is an apocalyptic number.

10314130134 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 10314130134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12898215936).

10314130134 is an abundant number, since it is smaller than the sum of its proper divisors (15482301738).

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

10314130134 is a wasteful number, since it uses less digits than its factorization.

10314130134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67801.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10314130134 its reverse (43103141301), we get a palindrome (53417271435).

The spelling of 10314130134 in words is "ten billion, three hundred fourteen million, one hundred thirty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 331 462 662 993 1986 2317 3641 4634 6951 7282 10923 13902 21846 25487 50974 67447 76461 134894 152922 202341 404682 472129 741917 944258 1416387 1483834 2225751 2832774 4451502 5193419 10386838 15580257 22324957 31160514 44649914 66974871 133949742 156274699 245574527 312549398 468824097 491149054 736723581 937648194 1473447162 1719021689 3438043378 5157065067 10314130134