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131321110740 = 223517829155303
BaseRepresentation
bin111101001001101011…
…0010010000011010100
3110112221222211121212020
41322103112102003110
54122421201020430
6140154511053140
712326155011111
oct1722326220324
9415858747766
10131321110740
1150769386196
122154b2111b0
13c4ca7c1671
1464dab23908
153638d23b10
hex1e935920d4

131321110740 has 96 divisors (see below), whose sum is σ = 389800615680. Its totient is φ = 32919054336.

The previous prime is 131321110729. The next prime is 131321110769. The reversal of 131321110740 is 47011123131.

It is a self number, because there is not a number n which added to its sum of digits gives 131321110740.

It is a congruent number.

It is an unprimeable number.

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, 767929 + ... + 923231.

It is an arithmetic number, because the mean of its divisors is an integer number (4060423080).

Almost surely, 2131321110740 is an apocalyptic number.

131321110740 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 131321110740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194900307840).

131321110740 is an abundant number, since it is smaller than the sum of its proper divisors (258479504940).

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

131321110740 is a wasteful number, since it uses less digits than its factorization.

131321110740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156161 (or 156159 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 131321110740 its reverse (47011123131), we get a palindrome (178332233871).

The spelling of 131321110740 in words is "one hundred thirty-one billion, three hundred twenty-one million, one hundred ten thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 829 1020 1658 2487 3316 4145 4974 8290 9948 12435 14093 16580 24870 28186 42279 49740 56372 70465 84558 140930 155303 169116 211395 281860 310606 422790 465909 621212 776515 845580 931818 1553030 1863636 2329545 2640151 3106060 4659090 5280302 7920453 9318180 10560604 13200755 15840906 26401510 31681812 39602265 52803020 79204530 128746187 158409060 257492374 386238561 514984748 643730935 772477122 1287461870 1544954244 1931192805 2188685179 2574923740 3862385610 4377370358 6566055537 7724771220 8754740716 10943425895 13132111074 21886851790 26264222148 32830277685 43773703580 65660555370 131321110740