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131324204544 = 2931310960337
BaseRepresentation
bin111101001001110001…
…0000101011000000000
3110112222012122210202120
41322103202011120000
54122422444021134
6140155101244240
712326223215001
oct1722342053000
9415865583676
10131324204544
11507700a9655
1221550263680
13c4cb335910
1464db2cb1a8
153639235649
hex1e93885600

131324204544 has 160 divisors (see below), whose sum is σ = 380230767840. Its totient is φ = 40036073472.

The previous prime is 131324204521. The next prime is 131324204551. The reversal of 131324204544 is 445402423131.

It is a super-2 number, since 2×1313242045442 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2146344 + ... + 2206680.

It is an arithmetic number, because the mean of its divisors is an integer number (2376442299).

Almost surely, 2131324204544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131324204544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190115383920).

131324204544 is an abundant number, since it is smaller than the sum of its proper divisors (248906563296).

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

131324204544 is a wasteful number, since it uses less digits than its factorization.

131324204544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60480 (or 60464 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 131324204544 its reverse (445402423131), we get a palindrome (576726627675).

The spelling of 131324204544 in words is "one hundred thirty-one billion, three hundred twenty-four million, two hundred four thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 109 128 156 192 208 218 256 312 327 384 416 436 512 624 654 768 832 872 1248 1308 1417 1536 1664 1744 2496 2616 2834 3328 3488 4251 4992 5232 5668 6656 6976 8502 9984 10464 11336 13952 17004 19968 20928 22672 27904 34008 41856 45344 55808 60337 68016 83712 90688 120674 136032 167424 181011 181376 241348 272064 362022 362752 482696 544128 724044 725504 784381 965392 1088256 1448088 1568762 1930784 2176512 2353143 2896176 3137524 3861568 4706286 5792352 6275048 6576733 7723136 9412572 11584704 12550096 13153466 15446272 18825144 19730199 23169408 25100192 26306932 30892544 37650288 39460398 46338816 50200384 52613864 75300576 78920796 85497529 92677632 100400768 105227728 150601152 157841592 170995058 200801536 210455456 256492587 301202304 315683184 341990116 401603072 420910912 512985174 602404608 631366368 683980232 841821824 1025970348 1204809216 1262732736 1367960464 1683643648 2051940696 2525465472 2735920928 3367287296 4103881392 5050930944 5471841856 8207762784 10101861888 10943683712 16415525568 21887367424 32831051136 43774734848 65662102272 131324204544