Search a number
-
+
131333420120 = 23572425915733
BaseRepresentation
bin111101001010000010…
…1001111010001011000
3110112222212000000011012
41322110011033101120
54122432323420440
6140200030553052
712326364436400
oct1722405172130
9415885000135
10131333420120
1150775323431
1221553368788
13c500211416
1464dc609800
153639e55e65
hex1e9414f458

131333420120 has 96 divisors (see below), whose sum is σ = 343847689200. Its totient is φ = 45015167232.

The previous prime is 131333420063. The next prime is 131333420143. The reversal of 131333420120 is 21024333131.

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 23 ways as a sum of consecutive naturals, for example, 8339774 + ... + 8355506.

Almost surely, 2131333420120 is an apocalyptic number.

131333420120 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 131333420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171923844600).

131333420120 is an abundant number, since it is smaller than the sum of its proper divisors (212514269080).

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

131333420120 is a wasteful number, since it uses less digits than its factorization.

131333420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20017 (or 20006 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 131333420120 its reverse (21024333131), we get a palindrome (152357753251).

The spelling of 131333420120 in words is "one hundred thirty-one billion, three hundred thirty-three million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 4259 8518 15733 17036 21295 29813 31466 34072 42590 59626 62932 78665 85180 110131 119252 125864 149065 157330 170360 208691 220262 238504 298130 314660 417382 440524 550655 596260 629320 770917 834764 881048 1043455 1101310 1192520 1541834 1669528 2086910 2202620 3083668 3854585 4173820 4405240 6167336 7709170 8347640 15418340 30836680 67006847 134013694 268027388 335034235 469047929 536054776 670068470 938095858 1340136940 1876191716 2345239645 2680273880 3283335503 3752383432 4690479290 6566671006 9380958580 13133342012 16416677515 18761917160 26266684024 32833355030 65666710060 131333420120