Search a number
-
+
313140300132 = 2231119547228257
BaseRepresentation
bin1001000111010001001…
…11011100100101100100
31002221021021201102210210
410203220213130211210
520112302404101012
6355504335215420
731423623430302
oct4435047344544
91087237642723
10313140300132
11110890599280
1250832077570
13236b52b442a
141122838d272
15822b0c623c
hex48e89dc964

313140300132 has 96 divisors (see below), whose sum is σ = 840573780480. Its totient is φ = 89731998720.

The previous prime is 313140300091. The next prime is 313140300139. The reversal of 313140300132 is 231003041313.

It is a junction number, because it is equal to n+sod(n) for n = 313140300099 and 313140300108.

It is not an unprimeable number, because it can be changed into a prime (313140300139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257748 + ... + 1486004.

It is an arithmetic number, because the mean of its divisors is an integer number (8755976880).

Almost surely, 2313140300132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313140300132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (420286890240).

313140300132 is an abundant number, since it is smaller than the sum of its proper divisors (527433480348).

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

313140300132 is a wasteful number, since it uses less digits than its factorization.

313140300132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228841 (or 228839 counting only the distinct ones).

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

Adding to 313140300132 its reverse (231003041313), we get a palindrome (544143341445).

The spelling of 313140300132 in words is "three hundred thirteen billion, one hundred forty million, three hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 547 627 836 1094 1254 1641 2188 2508 3282 6017 6564 10393 12034 18051 20786 24068 31179 36102 41572 62358 72204 114323 124716 228257 228646 342969 456514 457292 684771 685938 913028 1369542 1371876 2510827 2739084 4336883 5021654 7532481 8673766 10043308 13010649 15064962 17347532 26021298 30129924 47705713 52042596 95411426 124856579 143117139 190822852 249713158 286234278 374569737 499426316 572468556 749139474 1373422369 1498278948 2372275001 2746844738 4120267107 4744550002 5493689476 7116825003 8240534214 9489100004 14233650006 16481068428 26095025011 28467300012 52190050022 78285075033 104380100044 156570150066 313140300132