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131142131120 = 245711131637639
BaseRepresentation
bin111101000100010101…
…1100001110110110000
3110112111112001111222102
41322020223201312300
54122034341143440
6140125034555532
712321552502460
oct1721053416660
9415445044872
10131142131120
1150687350150
12214bb298ba8
13c49c6b7070
1464c1053ba0
15362826cb15
hex1e88ae1db0

131142131120 has 160 divisors (see below), whose sum is σ = 409383797760. Its totient is φ = 37731179520.

The previous prime is 131142131117. The next prime is 131142131143. The reversal of 131142131120 is 21131241131.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131142131092 and 131142131101.

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, 738740 + ... + 898899.

It is an arithmetic number, because the mean of its divisors is an integer number (2558648736).

Almost surely, 2131142131120 is an apocalyptic number.

131142131120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131142131120 is an abundant number, since it is smaller than the sum of its proper divisors (278241666640).

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

131142131120 is a wasteful number, since it uses less digits than its factorization.

131142131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637683 (or 1637677 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 131142131120 its reverse (21131241131), we get a palindrome (152273372251).

It can be divided in two parts, 131142 and 131120, that added together give a palindrome (262262).

The spelling of 131142131120 in words is "one hundred thirty-one billion, one hundred forty-two million, one hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 16 20 22 26 28 35 40 44 52 55 56 65 70 77 80 88 91 104 110 112 130 140 143 154 176 182 208 220 260 280 286 308 364 385 440 455 520 560 572 616 715 728 770 880 910 1001 1040 1144 1232 1430 1456 1540 1820 2002 2288 2860 3080 3640 4004 5005 5720 6160 7280 8008 10010 11440 16016 20020 40040 80080 1637639 3275278 6550556 8188195 11463473 13101112 16376390 18014029 21289307 22926946 26202224 32752780 36028058 42578614 45853892 57317365 65505560 72056116 85157228 90070145 91707784 106446535 114634730 126098203 131011120 144112232 149025149 170314456 180140290 183415568 212893070 229269460 234182377 252196406 288224464 298050298 340628912 360280580 425786140 458538920 468364754 504392812 596100596 630491015 720561160 745125745 851572280 917077840 936729508 1008785624 1170911885 1192201192 1260982030 1441122320 1490251490 1639276639 1703144560 1873459016 2017571248 2341823770 2384402384 2521964060 2980502980 3278553278 3746918032 4683647540 5043928120 5961005960 6557106556 8196383195 9367295080 10087856240 11922011920 13114213112 16392766390 18734590160 26228426224 32785532780 65571065560 131142131120