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131111310320 = 245194314913463
BaseRepresentation
bin111101000011011010…
…1111101001111110000
3110112102101001122210022
41322012311331033300
54122003443412240
6140122014223012
712321026515064
oct1720665751760
9415371048708
10131111310320
1150670a0a011
12214b0ab4a68
13c4961b55c3
1464bad0daa4
1536256d09b5
hex1e86d7d3f0

131111310320 has 160 divisors (see below), whose sum is σ = 330568128000. Its totient is φ = 48199560192.

The previous prime is 131111310311. The next prime is 131111310347. The reversal of 131111310320 is 23013111131.

It is a congruent number.

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, 9731909 + ... + 9745371.

It is an arithmetic number, because the mean of its divisors is an integer number (2066050800).

Almost surely, 2131111310320 is an apocalyptic number.

131111310320 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 131111310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165284064000).

131111310320 is an abundant number, since it is smaller than the sum of its proper divisors (199456817680).

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

131111310320 is a wasteful number, since it uses less digits than its factorization.

131111310320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13687 (or 13681 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 131111310320 its reverse (23013111131), we get a palindrome (154124421451).

The spelling of 131111310320 in words is "one hundred thirty-one billion, one hundred eleven million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 43 76 80 86 95 149 152 172 190 215 298 304 344 380 430 596 688 745 760 817 860 1192 1490 1520 1634 1720 2384 2831 2980 3268 3440 4085 5662 5960 6407 6536 8170 11324 11920 12814 13072 13463 14155 16340 22648 25628 26926 28310 32035 32680 45296 51256 53852 56620 64070 65360 67315 102512 107704 113240 121733 128140 134630 215408 226480 243466 255797 256280 269260 486932 511594 512560 538520 578909 608665 973864 1023188 1077040 1157818 1217330 1278985 1947728 2005987 2046376 2315636 2434660 2557970 2894545 4011974 4092752 4631272 4869320 5115940 5789090 8023948 9262544 9738640 10029935 10231880 10999271 11578180 16047896 20059870 20463760 21998542 23156360 32095792 38113753 40119740 43997084 46312720 54996355 76227506 80239480 86257441 87994168 109992710 152455012 160478960 172514882 175988336 190568765 219985420 304910024 345029764 381137530 431287205 439970840 609820048 690059528 762275060 862574410 879941680 1380119056 1524550120 1638891379 1725148820 3049100240 3277782758 3450297640 6555565516 6900595280 8194456895 13111131032 16388913790 26222262064 32777827580 65555655160 131111310320