Search a number
-
+
31220440004131 = 72196112727115973
BaseRepresentation
bin1110001100101000100110…
…01111000111011000100011
311002112122102010212122220121
413012110103033013120203
513043003430120113011
6150222245552021111
76401413415304100
oct706242317073043
9132478363778817
1031220440004131
119a47572515844
123602892231797
1314560c860b851
1479d1123b5aa7
153921ae196e71
hex1c65133c7623

31220440004131 has 96 divisors (see below), whose sum is σ = 39308737413120. Its totient is φ = 24647147078400.

The previous prime is 31220440004111. The next prime is 31220440004183. The reversal of 31220440004131 is 13140004402213.

It is not a de Polignac number, because 31220440004131 - 27 = 31220440004003 is a prime.

It is a super-2 number, since 2×312204400041312 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31220440004096 and 31220440004105.

It is not an unprimeable number, because it can be changed into a prime (31220440004111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1954567861 + ... + 1954583833.

It is an arithmetic number, because the mean of its divisors is an integer number (409466014720).

Almost surely, 231220440004131 is an apocalyptic number.

31220440004131 is a deficient number, since it is larger than the sum of its proper divisors (8088297408989).

31220440004131 is a wasteful number, since it uses less digits than its factorization.

31220440004131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16465 (or 16458 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 31220440004131 its reverse (13140004402213), we get a palindrome (44360444406344).

The spelling of 31220440004131 in words is "thirty-one trillion, two hundred twenty billion, four hundred forty million, four thousand, one hundred thirty-one".

Divisors: 1 7 19 49 61 127 133 271 427 889 931 1159 1897 2413 2989 5149 6223 7747 8113 13279 15973 16531 16891 34417 36043 54229 56791 111811 115717 118237 147193 240919 252301 303487 314089 379603 653923 782677 810019 974353 1030351 1686433 2028571 2099437 2124409 2198623 4328683 4577461 6820471 7212457 14199997 14696059 14870863 15390361 18512707 30300781 32042227 38542849 39889303 47743297 82244977 99399979 102872413 123742831 129588949 212105467 264049663 269799943 279225121 549742741 575714839 866199817 907122643 1848347641 1888599601 1954575847 2351113789 3848199187 4030003873 5016943597 6063398719 10445112079 12938433487 16457796523 26937394309 33534307201 35118605179 73115784553 115204575661 234740150407 245830236253 511810491871 637151836819 1643181052849 4460062857733 31220440004131