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131331322320 = 243511263189151
BaseRepresentation
bin111101001001111110…
…1001111000111010000
3110112222201001102111220
41322103331033013100
54122431304303240
6140155514005040
712326340551352
oct1722375170720
9415881042456
10131331322320
1150774120310
1221552716780
13c4cc958613
1464dc2210d2
153639b8e5d0
hex1e93f4f1d0

131331322320 has 160 divisors (see below), whose sum is σ = 445829750784. Its totient is φ = 31716672000.

The previous prime is 131331322319. The next prime is 131331322333. The reversal of 131331322320 is 23223133131.

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

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, 599745 + ... + 788895.

Almost surely, 2131331322320 is an apocalyptic number.

131331322320 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 131331322320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222914875392).

131331322320 is an abundant number, since it is smaller than the sum of its proper divisors (314498428464).

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

131331322320 is a wasteful number, since it uses less digits than its factorization.

131331322320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189441 (or 189435 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 131331322320 its reverse (23223133131), we get a palindrome (154554455451).

The spelling of 131331322320 in words is "one hundred thirty-one billion, three hundred thirty-one million, three hundred twenty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 263 264 330 440 526 528 660 789 880 1052 1315 1320 1578 2104 2630 2640 2893 3156 3945 4208 5260 5786 6312 7890 8679 10520 11572 12624 14465 15780 17358 21040 23144 28930 31560 34716 43395 46288 57860 63120 69432 86790 115720 138864 173580 189151 231440 347160 378302 567453 694320 756604 945755 1134906 1513208 1891510 2080661 2269812 2837265 3026416 3783020 4161322 4539624 5674530 6241983 7566040 8322644 9079248 10403305 11349060 12483966 15132080 16645288 20806610 22698120 24967932 31209915 33290576 41613220 45396240 49746713 49935864 62419830 83226440 99493426 99871728 124839660 149240139 166452880 198986852 248733565 249679320 298480278 397973704 497467130 499358640 547213843 596960556 746200695 795947408 994934260 1094427686 1193921112 1492401390 1641641529 1989868520 2188855372 2387842224 2736069215 2984802780 3283283058 3979737040 4377710744 5472138430 5969605560 6566566116 8208207645 8755421488 10944276860 11939211120 13133132232 16416415290 21888553720 26266264464 32832830580 43777107440 65665661160 131331322320