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131044410230540 = 225197126903180541
BaseRepresentation
bin11101110010111100100111…
…100001011000011100001100
3122011222201112021010011201012
4131302330213201120130030
5114134012423004334130
61142412545421504352
736413434435166342
oct3562744741303414
9564881467104635
10131044410230540
1138833693288694
121284534ba120b8
135817586508a41
1424508247d1992
151023b74aa1995
hex772f2785870c

131044410230540 has 96 divisors (see below), whose sum is σ = 293769623024640. Its totient is φ = 48957421766400.

The previous prime is 131044410230519. The next prime is 131044410230603. The reversal of 131044410230540 is 45032014440131.

It is a junction number, because it is equal to n+sod(n) for n = 131044410230497 and 131044410230506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 725752670 + ... + 725933210.

It is an arithmetic number, because the mean of its divisors is an integer number (3060100239840).

Almost surely, 2131044410230540 is an apocalyptic number.

131044410230540 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 131044410230540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146884811512320).

131044410230540 is an abundant number, since it is smaller than the sum of its proper divisors (162725212794100).

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

131044410230540 is a wasteful number, since it uses less digits than its factorization.

131044410230540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207543 (or 207541 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 131044410230540 its reverse (45032014440131), we get a palindrome (176076424670671).

The spelling of 131044410230540 in words is "one hundred thirty-one trillion, forty-four billion, four hundred ten million, two hundred thirty thousand, five hundred forty".

Divisors: 1 2 4 5 10 19 20 38 71 76 95 142 190 284 355 380 710 1349 1420 2698 5396 6745 13490 26903 26980 53806 107612 134515 180541 269030 361082 511157 538060 722164 902705 1022314 1805410 1910113 2044628 2555785 3430279 3610820 3820226 5111570 6860558 7640452 9550565 10223140 12818411 13721116 17151395 19101130 25636822 34302790 36292147 38202260 51273644 64092055 68605580 72584294 128184110 145168588 181460735 243549809 256368220 362921470 487099618 725842940 974199236 1217749045 2435498090 4857094523 4870996180 9714189046 19428378092 24285472615 48570945230 92284795937 97141890460 184569591874 344853711133 369139183748 461423979685 689707422266 922847959370 1379414844532 1724268555665 1845695918740 3448537111330 6552220511527 6897074222660 13104441023054 26208882046108 32761102557635 65522205115270 131044410230540