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131330340120 = 23357156345643
BaseRepresentation
bin111101001001111100…
…1011111010100011000
3110112222122012112012010
41322103321133110120
54122431031340440
6140155440545520
712326326320660
oct1722371372430
9415878175163
10131330340120
115077360a381
12215523222a0
13c4cc6a3535
1464dc0471a0
153639a48580
hex1e93e5f518

131330340120 has 64 divisors (see below), whose sum is σ = 450275454720. Its totient is φ = 30018363264.

The previous prime is 131330340049. The next prime is 131330340121. The reversal of 131330340120 is 21043033131.

It is a super-2 number, since 2×1313303401202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131330340121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78171982 + ... + 78173661.

It is an arithmetic number, because the mean of its divisors is an integer number (7035553980).

Almost surely, 2131330340120 is an apocalyptic number.

131330340120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131330340120 is an abundant number, since it is smaller than the sum of its proper divisors (318945114600).

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

131330340120 is a wasteful number, since it uses less digits than its factorization.

131330340120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156345664 (or 156345660 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 131330340120 its reverse (21043033131), we get a palindrome (152373373251).

The spelling of 131330340120 in words is "one hundred thirty-one billion, three hundred thirty million, three hundred forty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 156345643 312691286 469036929 625382572 781728215 938073858 1094419501 1250765144 1563456430 1876147716 2188839002 2345184645 3126912860 3283258503 3752295432 4377678004 4690369290 5472097505 6253825720 6566517006 8755356008 9380738580 10944195010 13133034012 16416292515 18761477160 21888390020 26266068024 32832585030 43776780040 65665170060 131330340120