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31505442045 = 3572113896777
BaseRepresentation
bin11101010101110111…
…101110010011111101
310000022200001021121220
4131111313232103331
51004010343121140
622250130543553
72163506560500
oct352567562375
9100280037556
1031505442045
11123a8000a10
126133137bb9
132c812413cc
14174c367137
15c45d9abd0
hex755dee4fd

31505442045 has 48 divisors (see below), whose sum is σ = 63969507648. Its totient is φ = 13093167360.

The previous prime is 31505442043. The next prime is 31505442061. The reversal of 31505442045 is 54024450513.

It is not a de Polignac number, because 31505442045 - 21 = 31505442043 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31505441997 and 31505442015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31505442041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1940304 + ... + 1956473.

It is an arithmetic number, because the mean of its divisors is an integer number (1332698076).

Almost surely, 231505442045 is an apocalyptic number.

31505442045 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

31505442045 is an abundant number, since it is smaller than the sum of its proper divisors (32464065603).

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

31505442045 is a wasteful number, since it uses less digits than its factorization.

31505442045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896810 (or 3896803 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 33.

Adding to 31505442045 its reverse (54024450513), we get a palindrome (85529892558).

The spelling of 31505442045 in words is "thirty-one billion, five hundred five million, four hundred forty-two thousand, forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 77 105 147 165 231 245 385 539 735 1155 1617 2695 8085 3896777 11690331 19483885 27277439 42864547 58451655 81832317 128593641 136387195 190942073 214322735 300051829 409161585 572826219 642968205 900155487 954710365 1500259145 2100362803 2864131095 4500777435 6301088409 10501814015 31505442045