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313313231220 = 2235111732744029
BaseRepresentation
bin1001000111100101110…
…11001000000101110100
31002221201100010020122220
410203302323020011310
520113131141344340
6355533433522340
731431123344463
oct4436273100564
91087640106586
10313313231220
1111096a172a30
125087bb733b0
1323712081912
14112433269da
15823b384ed0
hex48f2ec8174

313313231220 has 96 divisors (see below), whose sum is σ = 962561819520. Its totient is φ = 75515650560.

The previous prime is 313313231149. The next prime is 313313231227. The reversal of 313313231220 is 22132313313.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313313231227) 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, 1257835 + ... + 1486194.

It is an arithmetic number, because the mean of its divisors is an integer number (10026685620).

Almost surely, 2313313231220 is an apocalyptic number.

313313231220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

313313231220 is an abundant number, since it is smaller than the sum of its proper divisors (649248588300).

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

313313231220 is a wasteful number, since it uses less digits than its factorization.

313313231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744225 (or 2744223 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313313231220 its reverse (22132313313), we get a palindrome (335445544533).

The spelling of 313313231220 in words is "three hundred thirteen billion, three hundred thirteen million, two hundred thirty-one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 173 220 330 346 519 660 692 865 1038 1730 1903 2076 2595 3460 3806 5190 5709 7612 9515 10380 11418 19030 22836 28545 38060 57090 114180 2744029 5488058 8232087 10976116 13720145 16464174 27440290 30184319 32928348 41160435 54880580 60368638 82320870 90552957 120737276 150921595 164641740 181105914 301843190 362211828 452764785 474717017 603686380 905529570 949434034 1424151051 1811059140 1898868068 2373585085 2848302102 4747170170 5221887187 5696604204 7120755255 9494340340 10443774374 14241510510 15665661561 20887548748 26109435935 28483021020 31331323122 52218871870 62662646244 78328307805 104437743740 156656615610 313313231220