Search a number
-
+
313102423242 = 23374735175011
BaseRepresentation
bin1001000111001100101…
…10111101010011001010
31002221011122110002111000
410203212112331103022
520112213210020432
6355500503315430
731422653454120
oct4434626752312
91087148402430
10313102423242
11110871178864
125082144bb76
13236aa4b207b
141122332d910
158227ae357c
hex48e65bd4ca

313102423242 has 128 divisors (see below), whose sum is σ = 812492513280. Its totient is φ = 87512114880.

The previous prime is 313102423211. The next prime is 313102423331. The reversal of 313102423242 is 242324201313.

313102423242 is a `hidden beast` number, since 3 + 1 + 310 + 24 + 2 + 324 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 62480517 + ... + 62485527.

It is an arithmetic number, because the mean of its divisors is an integer number (6347597760).

Almost surely, 2313102423242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313102423242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406246256640).

313102423242 is an abundant number, since it is smaller than the sum of its proper divisors (499390090038).

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

313102423242 is a wasteful number, since it uses less digits than its factorization.

313102423242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8593 (or 8587 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 313102423242 its reverse (242324201313), we get a palindrome (555426624555).

The spelling of 313102423242 in words is "three hundred thirteen billion, one hundred two million, four hundred twenty-three thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 94 126 141 189 282 329 378 423 658 846 987 1269 1974 2538 2961 3517 5011 5922 7034 8883 10022 10551 15033 17766 21102 24619 30066 31653 35077 45099 49238 63306 70154 73857 90198 94959 105231 135297 147714 165299 189918 210462 221571 235517 270594 315693 330598 443142 471034 495897 631386 664713 706551 947079 991794 1157093 1329426 1413102 1487691 1648619 1894158 2119653 2314186 2975382 3297238 3471279 4239306 4463073 4945857 6358959 6942558 8926146 9891714 10413837 12717918 14837571 17623687 20827674 29675142 31241511 35247374 44512713 52871061 62483022 89025426 105742122 123365809 158613183 246731618 317226366 370097427 475839549 740194854 828313289 951679098 1110292281 1656626578 2220584562 2484939867 3330876843 4969879734 5798193023 6661753686 7454819601 11596386046 14909639202 17394579069 22364458803 34789158138 44728917606 52183737207 104367474414 156551211621 313102423242