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131003350134 = 234347127257331
BaseRepresentation
bin111101000000001101…
…0000111110001110110
3110112010211220201020220
41322000122013301312
54121243324201014
6140103200235210
712315246050256
oct1720032076166
9415124821226
10131003350134
1150615a80a18
122148090bb06
13c479a15837
1464aa849966
15361aea76a9
hex1e80687c76

131003350134 has 128 divisors (see below), whose sum is σ = 277870804992. Its totient is φ = 41130270720.

The previous prime is 131003350111. The next prime is 131003350139. The reversal of 131003350134 is 431053300131.

131003350134 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131003350139) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 395780349 + ... + 395780679.

It is an arithmetic number, because the mean of its divisors is an integer number (2170865664).

Almost surely, 2131003350134 is an apocalyptic number.

131003350134 is an abundant number, since it is smaller than the sum of its proper divisors (146867454858).

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

131003350134 is a wasteful number, since it uses less digits than its factorization.

131003350134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 810.

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 131003350134 its reverse (431053300131), we get a palindrome (562056650265).

The spelling of 131003350134 in words is "one hundred thirty-one billion, three million, three hundred fifty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 43 47 86 94 127 129 141 254 257 258 282 331 381 514 662 762 771 993 1542 1986 2021 4042 5461 5969 6063 10922 11051 11938 12079 12126 14233 15557 16383 17907 22102 24158 28466 31114 32639 32766 33153 35814 36237 42037 42699 46671 65278 66306 72474 84074 85067 85398 93342 97917 126111 170134 195834 252222 255201 256667 510402 513334 519397 668951 770001 1038794 1337902 1403477 1534033 1540002 1558191 1807591 1975739 2006853 2806954 3068066 3116382 3615182 3657881 3951478 3998149 4013706 4210431 4602099 5422773 5927217 7315762 7996298 8420862 9204198 10803509 10845546 10973643 11854434 11994447 21607018 21947286 23988894 32410527 64821054 65963419 84956777 131926838 169913554 171920407 197890257 254870331 343840814 395780514 464550887 507764923 509740662 515761221 929101774 1015529846 1031522442 1393652661 1523294769 2787305322 3046589538 21833891689 43667783378 65501675067 131003350134