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130122113140 = 225231009280351
BaseRepresentation
bin111100100101111100…
…0011110000001110100
3110102212102201020100201
41321023320132001310
54112442230110030
6135435520250244
712254355466225
oct1711370360164
9412772636321
10130122113140
11502035a4588
1221275770984
13c36928b526
1464257b524c
1535b89352ca
hex1e4be1e074

130122113140 has 48 divisors (see below), whose sum is σ = 285420764160. Its totient is φ = 49736332800.

The previous prime is 130122113131. The next prime is 130122113141. The reversal of 130122113140 is 41311221031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130122113141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323965 + ... + 604315.

It is an arithmetic number, because the mean of its divisors is an integer number (5946265920).

Almost surely, 2130122113140 is an apocalyptic number.

130122113140 is a gapful number since it is divisible by the number (10) 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 130122113140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142710382080).

130122113140 is an abundant number, since it is smaller than the sum of its proper divisors (155298651020).

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

130122113140 is a wasteful number, since it uses less digits than its factorization.

130122113140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281392 (or 281390 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 130122113140 its reverse (41311221031), we get a palindrome (171433334171).

The spelling of 130122113140 in words is "one hundred thirty billion, one hundred twenty-two million, one hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1009 2018 4036 5045 10090 20180 23207 46414 92828 116035 232070 280351 464140 560702 1121404 1401755 2803510 5607020 6448073 12896146 25792292 32240365 64480730 128961460 282874159 565748318 1131496636 1414370795 2828741590 5657483180 6506105657 13012211314 26024422628 32530528285 65061056570 130122113140