Search a number
-
+
131333130312 = 23382121373119
BaseRepresentation
bin111101001010000010…
…0001000100001001000
3110112222211110021121120
41322110010020201020
54122432240132222
6140200020435240
712326362121436
oct1722404104110
9415884407546
10131333130312
115077514571a
1221553248b20
13c50013c537
1464dc571d56
153639dea15c
hex1e94108848

131333130312 has 64 divisors (see below), whose sum is σ = 328992019200. Its totient is φ = 43689914880.

The previous prime is 131333130263. The next prime is 131333130317. The reversal of 131333130312 is 213031333131.

It is a super-2 number, since 2×1313331303122 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (131333130317) 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, 42105889 + ... + 42109007.

It is an arithmetic number, because the mean of its divisors is an integer number (5140500300).

Almost surely, 2131333130312 is an apocalyptic number.

131333130312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131333130312 is an abundant number, since it is smaller than the sum of its proper divisors (197658888888).

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

131333130312 is a wasteful number, since it uses less digits than its factorization.

131333130312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086 (or 6082 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 131333130312 its reverse (213031333131), we get a palindrome (344364463443).

The spelling of 131333130312 in words is "one hundred thirty-one billion, three hundred thirty-three million, one hundred thirty thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 821 1642 2137 2463 3119 3284 4274 4926 6238 6411 6568 8548 9357 9852 12476 12822 17096 18714 19704 24952 25644 37428 51288 74856 1754477 2560699 3508954 5121398 5263431 6665303 7017908 7682097 10242796 10526862 13330606 14035816 15364194 19995909 20485592 21053724 26661212 30728388 39991818 42107448 53322424 61456776 79983636 159967272 5472213763 10944427526 16416641289 21888855052 32833282578 43777710104 65666565156 131333130312