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31533442000 = 245315766721
BaseRepresentation
bin11101010111100010…
…100010001111010000
310000101121201211100021
4131113202202033100
51004040030121000
622253011033224
72164266556144
oct352742421720
9100347654307
1031533442000
1112411895775
12614059b814
132c86c95c28
141751d75224
15c4857c11a
hex7578a23d0

31533442000 has 40 divisors (see below), whose sum is σ = 76247867592. Its totient is φ = 12613376000.

The previous prime is 31533441983. The next prime is 31533442009. The reversal of 31533442000 is 24433513.

It can be written as a sum of positive squares in 4 ways, for example, as 858021264 + 30675420736 = 29292^2 + 175144^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31533442009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7881361 + ... + 7885360.

Almost surely, 231533442000 is an apocalyptic number.

It is an amenable number.

31533442000 is an abundant number, since it is smaller than the sum of its proper divisors (44714425592).

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

31533442000 is a wasteful number, since it uses less digits than its factorization.

31533442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15766744 (or 15766728 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

Adding to 31533442000 its reverse (24433513), we get a palindrome (31557875513).

The spelling of 31533442000 in words is "thirty-one billion, five hundred thirty-three million, four hundred forty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 15766721 31533442 63066884 78833605 126133768 157667210 252267536 315334420 394168025 630668840 788336050 1261337680 1576672100 1970840125 3153344200 3941680250 6306688400 7883360500 15766721000 31533442000