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131312342040 = 233511556917863
BaseRepresentation
bin111101001001011010…
…0110101010000011000
3110112221101100010110120
41322102310311100120
54122411424421130
6140153555113240
712326020330305
oct1722264652030
9415841303416
10131312342040
1150764437130
12215482a2820
13c4c8a41399
1464d98c00ac
153638190910
hex1e92d35418

131312342040 has 128 divisors (see below), whose sum is σ = 429850713600. Its totient is φ = 31825797120.

The previous prime is 131312341961. The next prime is 131312342041. The reversal of 131312342040 is 40243213131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 131312342040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131312342041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7342149 + ... + 7360011.

It is an arithmetic number, because the mean of its divisors is an integer number (3358208700).

Almost surely, 2131312342040 is an apocalyptic number.

131312342040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131312342040 is an abundant number, since it is smaller than the sum of its proper divisors (298538371560).

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

131312342040 is a wasteful number, since it uses less digits than its factorization.

131312342040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23457 (or 23453 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131312342040 its reverse (40243213131), we get a palindrome (171555555171).

The spelling of 131312342040 in words is "one hundred thirty-one billion, three hundred twelve million, three hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 5569 11138 16707 17863 22276 27845 33414 35726 44552 53589 55690 61259 66828 71452 83535 89315 107178 111380 122518 133656 142904 167070 178630 183777 196493 214356 222760 245036 267945 306295 334140 357260 367554 392986 428712 490072 535890 589479 612590 668280 714520 735108 785972 918885 982465 1071780 1178958 1225180 1470216 1571944 1837770 1964930 2143560 2357916 2450360 2947395 3675540 3929860 4715832 5894790 7351080 7859720 11789580 23579160 99479047 198958094 298437141 397916188 497395235 596874282 795832376 994790470 1094269517 1193748564 1492185705 1989580940 2188539034 2387497128 2984371410 3282808551 3979161880 4377078068 5471347585 5968742820 6565617102 8754156136 10942695170 11937485640 13131234204 16414042755 21885390340 26262468408 32828085510 43770780680 65656171020 131312342040