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313221104340 = 223511367768239
BaseRepresentation
bin1001000111011010110…
…11101100001011010100
31002221110220202201100020
410203231123230023110
520112434100314330
6355520343145140
731425624313134
oct4435533541324
91087426681306
10313221104340
11110922169711
12508551451b0
13236c8c66881
1411234dc4ac4
158233238210
hex48ed6ec2d4

313221104340 has 96 divisors (see below), whose sum is σ = 886100221440. Its totient is φ = 82662967296.

The previous prime is 313221104333. The next prime is 313221104341. The reversal of 313221104340 is 43401122313.

It is a happy number.

313221104340 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 313221104340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313221104341) 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, 4555941 + ... + 4624179.

It is an arithmetic number, because the mean of its divisors is an integer number (9230210640).

Almost surely, 2313221104340 is an apocalyptic number.

313221104340 is a gapful number since it is divisible by the number (30) 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 313221104340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443050110720).

313221104340 is an abundant number, since it is smaller than the sum of its proper divisors (572879117100).

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

313221104340 is a wasteful number, since it uses less digits than its factorization.

313221104340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69041 (or 69039 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 313221104340 its reverse (43401122313), we get a palindrome (356622226653).

The spelling of 313221104340 in words is "three hundred thirteen billion, two hundred twenty-one million, one hundred four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 226 339 452 565 677 678 1130 1354 1356 1695 2031 2260 2708 3385 3390 4062 6770 6780 8124 10155 13540 20310 40620 68239 76501 136478 153002 204717 229503 272956 306004 341195 382505 409434 459006 682390 765010 818868 918012 1023585 1147515 1364780 1530020 2047170 2295030 4094340 4590060 7711007 15422014 23133021 30844028 38555035 46197803 46266042 77110070 92395606 92532084 115665105 138593409 154220140 184791212 230989015 231330210 277186818 461978030 462660420 554373636 692967045 923956060 1385934090 2771868180 5220351739 10440703478 15661055217 20881406956 26101758695 31322110434 52203517390 62644220868 78305276085 104407034780 156610552170 313221104340