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31203120000 = 273541373137
BaseRepresentation
bin11101000011110110…
…011101001110000000
32222112121011201202010
4131003312131032000
51002400444320000
622200131052520
72153146100223
oct350366351600
988477151663
1031203120000
1112262390988
126069a41140
132c3370c720
14172014b5ba
15c2957dd50
hex743d9d380

31203120000 has 640 divisors, whose sum is σ = 113891168160. Its totient is φ = 7520256000.

The previous prime is 31203119963. The next prime is 31203120001. The reversal of 31203120000 is 2130213.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31203120001) 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 79 ways as a sum of consecutive naturals, for example, 227759932 + ... + 227760068.

Almost surely, 231203120000 is an apocalyptic number.

31203120000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31203120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56945584080).

31203120000 is an abundant number, since it is smaller than the sum of its proper divisors (82688048160).

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

31203120000 is a wasteful number, since it uses less digits than its factorization.

31203120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 31203120000 its reverse (2130213), we get a palindrome (31205250213).

The spelling of 31203120000 in words is "thirty-one billion, two hundred three million, one hundred twenty thousand".