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131135125430030 = 252337191641125863
BaseRepresentation
bin11101110100010001000110…
…100100011001111100001110
3122012022101200100202210002112
4131310101012210121330032
5114142004214102230110
61142522351151224022
736423125440520531
oct3564210644317416
9565271610683075
10131135125430030
113886910468a737
121285aa48218012
135822cb255c787
142454d8c6a2a18
1510261d3b04405
hex774446919f0e

131135125430030 has 128 divisors (see below), whose sum is σ = 254686033575936. Its totient is φ = 48485667225600.

The previous prime is 131135125430011. The next prime is 131135125430059. The reversal of 131135125430030 is 30034521531131.

It is a super-2 number, since 2×1311351254300302 (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1041824879 + ... + 1041950741.

It is an arithmetic number, because the mean of its divisors is an integer number (1989734637312).

Almost surely, 2131135125430030 is an apocalyptic number.

131135125430030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131135125430030 is a deficient number, since it is larger than the sum of its proper divisors (123550908145906).

131135125430030 is a wasteful number, since it uses less digits than its factorization.

131135125430030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126762.

The product of its (nonzero) digits is 16200, while the sum is 32.

Adding to 131135125430030 its reverse (30034521531131), we get a palindrome (161169646961161).

The spelling of 131135125430030 in words is "one hundred thirty-one trillion, one hundred thirty-five billion, one hundred twenty-five million, four hundred thirty thousand, thirty".

Divisors: 1 2 5 10 23 37 46 74 115 185 191 230 370 382 641 851 955 1282 1702 1910 3205 4255 4393 6410 7067 8510 8786 14134 14743 21965 23717 29486 35335 43930 47434 70670 73715 118585 122431 125863 147430 162541 237170 244862 251726 325082 545491 612155 629315 812705 1090982 1224310 1258630 1625410 2727455 2815913 2894849 4529947 4656931 5454910 5631826 5789698 9059894 9313862 14079565 14474245 22649735 23284655 24039833 28159130 28948490 45299470 46569310 48079666 80678183 104188781 107109413 120199165 161356366 208377562 214218826 240398330 403390915 520943905 535547065 552916159 806781830 889473821 1041887810 1071094130 1105832318 1778947642 1855598209 2764580795 2985092771 3711196418 4447369105 5529161590 5970185542 8894738210 9277991045 14925463855 15409532953 18555982090 20457897883 29850927710 30819065906 40915795766 68657133733 77047664765 102289489415 137314267466 154095329530 204578978830 343285668665 354419257919 570152719261 686571337330 708838515838 1140305438522 1772096289595 2850763596305 3544192579190 5701527192610 13113512543003 26227025086006 65567562715015 131135125430030