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114300103135134 = 23779222115510353
BaseRepresentation
bin11001111111010010010001…
…000010111000111110011110
3112222200222112201020022121010
4121333102101002320332132
5104440143102400311014
61043032424213320050
733034624052216010
oct3177222102707636
9488628481208533
10114300103135134
1133468446471004
12109a0161336026
134ba15b83992a7
142032223d8c1b0
15d3331be50359
hex67f4910b8f9e

114300103135134 has 64 divisors (see below), whose sum is σ = 264683570595840. Its totient is φ = 32229270627840.

The previous prime is 114300103135111. The next prime is 114300103135139. The reversal of 114300103135134 is 431531301003411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114300103135139) 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, 385899 + ... + 15124454.

It is an arithmetic number, because the mean of its divisors is an integer number (4135680790560).

Almost surely, 2114300103135134 is an apocalyptic number.

114300103135134 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 114300103135134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132341785297920).

114300103135134 is an abundant number, since it is smaller than the sum of its proper divisors (150383467460706).

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

114300103135134 is a wasteful number, since it uses less digits than its factorization.

114300103135134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512665.

The product of its (nonzero) digits is 6480, while the sum is 30.

Adding to 114300103135134 its reverse (431531301003411), we get a palindrome (545831404138545).

The spelling of 114300103135134 in words is "one hundred fourteen trillion, three hundred billion, one hundred three million, one hundred thirty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 42 79 158 237 474 553 1106 1659 2221 3318 4442 6663 13326 15547 31094 46641 93282 175459 350918 526377 1052754 1228213 2456426 3684639 7369278 15510353 31020706 46531059 93062118 108572471 217144942 325717413 651434826 1225317887 2450635774 3675953661 7351907322 8577225209 17154450418 25731675627 34448494013 51463351254 68896988026 103345482039 206690964078 241139458091 482278916182 723418374273 1446836748546 2721431027027 5442862054054 8164293081081 16328586162162 19050017189189 38100034378378 57150051567567 114300103135134