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1010114041134 = 231172729537129
BaseRepresentation
bin11101011001011110111…
…11010001010100101110
310120120021120202221122010
432230233133101110232
5113022203143304014
62052012345302050
7132656365453302
oct16545737212456
93516246687563
101010114041134
1135a429051780
12143925194926
137433a7a4873
1436c657b3d02
151b41e64e359
hexeb2f7d152e

1010114041134 has 64 divisors (see below), whose sum is σ = 2207973680640. Its totient is φ = 305527749120.

The previous prime is 1010114041133. The next prime is 1010114041151. The reversal of 1010114041134 is 4311404110101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010114041134.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010114041133) 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, 141687282 + ... + 141694410.

It is an arithmetic number, because the mean of its divisors is an integer number (34499588760).

Almost surely, 21010114041134 is an apocalyptic number.

1010114041134 is an abundant number, since it is smaller than the sum of its proper divisors (1197859639506).

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

1010114041134 is a wasteful number, since it uses less digits than its factorization.

1010114041134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 1010114041134 its reverse (4311404110101), we get a palindrome (5321518151235).

The spelling of 1010114041134 in words is "one trillion, ten billion, one hundred fourteen million, forty-one thousand, one hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 66 727 1454 2181 2953 4362 5906 7129 7997 8859 14258 15994 17718 21387 23991 32483 42774 47982 64966 78419 97449 156838 194898 235257 470514 2146831 4293662 5182783 6440493 10365566 12880986 15548349 21051937 23615141 31096698 42103874 47230282 57010613 63155811 70845423 114021226 126311622 141690846 171031839 231571307 342063678 463142614 694713921 1389427842 15304758199 30609516398 45914274597 91828549194 168352340189 336704680378 505057020567 1010114041134