Search a number
-
+
31332232013320 = 23573118493195193
BaseRepresentation
bin1110001111111000110101…
…00011110010011000001000
311002221022222010021010202101
413013330122203302120020
513101321402343411240
6150345454554443144
76412451626561120
oct707743243623010
9132838863233671
1031332232013320
119a8aa1a161987
1236204911334b4
13146380315b604
147a46b9591c80
1539505376a39a
hex1c7f1a8f2608

31332232013320 has 128 divisors (see below), whose sum is σ = 83172506941440. Its totient is φ = 10395332536320.

The previous prime is 31332232013297. The next prime is 31332232013359. The reversal of 31332232013320 is 2331023223313.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 160421644 + ... + 160616836.

It is an arithmetic number, because the mean of its divisors is an integer number (649785210480).

Almost surely, 231332232013320 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 31332232013320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41586253470720).

31332232013320 is an abundant number, since it is smaller than the sum of its proper divisors (51840274928120).

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

31332232013320 is a wasteful number, since it uses less digits than its factorization.

31332232013320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213735 (or 213731 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 28.

Adding to 31332232013320 its reverse (2331023223313), we get a palindrome (33663255236633).

The spelling of 31332232013320 in words is "thirty-one trillion, three hundred thirty-two billion, two hundred thirty-two million, thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 18493 36986 73972 92465 129451 147944 184930 195193 258902 369860 390386 517804 573283 647255 739720 780772 975965 1035608 1146566 1294510 1366351 1561544 1951930 2293132 2589020 2732702 2866415 3903860 4012981 4586264 5178040 5465404 5732830 6050983 6831755 7807720 8025962 10930808 11465660 12101966 13663510 16051924 20064905 22931320 24203932 27327020 30254915 32103848 40129810 42356881 48407864 54654040 60509830 80259620 84713762 121019660 160519240 169427524 211784405 242039320 338855048 423568810 847137620 1694275240 3609704149 7219408298 14438816596 18048520745 25267929043 28877633192 36097041490 50535858086 72194082980 101071716172 111900828619 126339645215 144388165960 202143432344 223801657238 252679290430 447603314476 505358580860 559504143095 783305800333 895206628952 1010717161720 1119008286190 1566611600666 2238016572380 3133223201332 3916529001665 4476033144760 6266446402664 7833058003330 15666116006660 31332232013320