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10134014112 = 253319759539
BaseRepresentation
bin10010111000000100…
…01100100010100000
3222011020221020221000
421130002030202200
5131223301422422
64353331032000
7506062461435
oct113402144240
928136836830
1010134014112
114330428882
121b69a3b600
13c566b0071
146c1c89b8c
153e4a30cac
hex25c08c8a0

10134014112 has 96 divisors (see below), whose sum is σ = 29708078400. Its totient is φ = 3360801024.

The previous prime is 10134014083. The next prime is 10134014113. The reversal of 10134014112 is 21141043101.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (10134014113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 140439 + ... + 199977.

It is an arithmetic number, because the mean of its divisors is an integer number (309459150).

Almost surely, 210134014112 is an apocalyptic number.

10134014112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10134014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14854039200).

10134014112 is an abundant number, since it is smaller than the sum of its proper divisors (19574064288).

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

10134014112 is a wasteful number, since it uses less digits than its factorization.

10134014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59755 (or 59741 counting only the distinct ones).

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

Adding to 10134014112 its reverse (21141043101), we get a palindrome (31275057213).

The spelling of 10134014112 in words is "ten billion, one hundred thirty-four million, fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 197 216 288 394 432 591 788 864 1182 1576 1773 2364 3152 3546 4728 5319 6304 7092 9456 10638 14184 18912 21276 28368 42552 56736 59539 85104 119078 170208 178617 238156 357234 476312 535851 714468 952624 1071702 1428936 1607553 1905248 2143404 2857872 3215106 4286808 5715744 6430212 8573616 11729183 12860424 17147232 23458366 25720848 35187549 46916732 51441696 70375098 93833464 105562647 140750196 187666928 211125294 281500392 316687941 375333856 422250588 563000784 633375882 844501176 1126001568 1266751764 1689002352 2533503528 3378004704 5067007056 10134014112