Search a number
-
+
136103512122312 = 23373594215360231
BaseRepresentation
bin11110111100100100010001…
…011111100010001111001000
3122211220100221202212110222220
4132330210101133202033020
5120314404443100403222
61201245031301014040
740445103623560050
oct3674442137421710
9584810852773886
10136103512122312
113a4041a24221a9
12133219329b4320
135ac3676c468a7
142587633644560
1510b0570c6eb5c
hex7bc9117e23c8

136103512122312 has 128 divisors (see below), whose sum is σ = 390876693811200. Its totient is φ = 38686280774400.

The previous prime is 136103512122223. The next prime is 136103512122329. The reversal of 136103512122312 is 213221215301631.

It is a happy 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, 22711237 + ... + 28071467.

It is an arithmetic number, because the mean of its divisors is an integer number (3053724170400).

Almost surely, 2136103512122312 is an apocalyptic number.

136103512122312 is a gapful number since it is divisible by the number (12) 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 136103512122312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195438346905600).

136103512122312 is an abundant number, since it is smaller than the sum of its proper divisors (254773181688888).

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

136103512122312 is a wasteful number, since it uses less digits than its factorization.

136103512122312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5361027 (or 5361023 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

Adding to 136103512122312 its reverse (213221215301631), we get a palindrome (349324727423943).

The spelling of 136103512122312 in words is "one hundred thirty-six trillion, one hundred three billion, five hundred twelve million, one hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 359 421 718 842 1077 1263 1436 1684 2154 2513 2526 2872 2947 3368 4308 5026 5052 5894 7539 8616 8841 10052 10104 11788 15078 17682 20104 23576 30156 35364 60312 70728 151139 302278 453417 604556 906834 1057973 1209112 1813668 2115946 3173919 3627336 4231892 5360231 6347838 8463784 10720462 12695676 16080693 21440924 25391352 32161386 37521617 42881848 64322772 75043234 112564851 128645544 150086468 225129702 300172936 450259404 900518808 1924322929 2256657251 3848645858 4513314502 5772968787 6769971753 7697291716 9026629004 11545937574 13470260503 13539943506 15394583432 15796600757 18053258008 23091875148 26940521006 27079887012 31593201514 40410781509 46183750296 47389802271 53881042012 54159774024 63186403028 80821563018 94779604542 107762084024 126372806056 161643126036 189559209084 323286252072 379118418168 810139953109 1620279906218 2430419859327 3240559812436 4860839718654 5670979671763 6481119624872 9721679437308 11341959343526 17012939015289 19443358874616 22683918687052 34025878030578 45367837374104 68051756061156 136103512122312