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31241442302020 = 22537277152412149
BaseRepresentation
bin1110001101001111101110…
…00100100001100001000100
311002121122121211101221101101
413012213313010201201010
513043324433212131040
6150240042004105444
76403056031012216
oct706476704414104
9132548554357341
1031241442302020
119a5546a798025
123606973995284
131458094849552
147a01458465b6
153929dcdea09a
hex1c69f7121844

31241442302020 has 48 divisors (see below), whose sum is σ = 67623442009200. Its totient is φ = 12114936820224.

The previous prime is 31241442302003. The next prime is 31241442302087. The reversal of 31241442302020 is 2020324414213.

It can be written as a sum of positive squares in 8 ways, for example, as 3681609237504 + 27559833064516 = 1918752^2 + 5249746^2 .

It is a super-4 number, since 4×312414423020204 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 31241442302020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76001095 + ... + 76411054.

It is an arithmetic number, because the mean of its divisors is an integer number (1408821708525).

Almost surely, 231241442302020 is an apocalyptic number.

It is an amenable number.

31241442302020 is an abundant number, since it is smaller than the sum of its proper divisors (36381999707180).

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

31241442302020 is a wasteful number, since it uses less digits than its factorization.

31241442302020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152412472 (or 152412470 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 31241442302020 its reverse (2020324414213), we get a palindrome (33261766716233).

The spelling of 31241442302020 in words is "thirty-one trillion, two hundred forty-one billion, four hundred forty-two million, three hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 37 74 148 185 277 370 554 740 1108 1385 2770 5540 10249 20498 40996 51245 102490 204980 152412149 304824298 609648596 762060745 1524121490 3048242980 5639249513 11278499026 22556998052 28196247565 42218165273 56392495130 84436330546 112784990260 168872661092 211090826365 422181652730 844363305460 1562072115101 3124144230202 6248288460404 7810360575505 15620721151010 31241442302020