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31020131131200 = 2633524310121637
BaseRepresentation
bin1110000110110011011111…
…11001011001111101000000
311001211111101021101121102000
413003121233321121331000
513031213212032144300
6145550241305424000
76351062524053651
oct703315771317500
9131744337347360
1031020131131200
11997a62236a862
12358baab19b000
131440255306033
1479354d291528
1538bd88a5ec00
hex1c366fe59f40

31020131131200 has 1008 divisors, whose sum is σ = 116938004863680. Its totient is φ = 7994778624000.

The previous prime is 31020131131181. The next prime is 31020131131207. The reversal of 31020131131200 is 213113102013.

31020131131200 is a `hidden beast` number, since 31 + 0 + 201 + 311 + 3 + 120 + 0 = 666.

It is a super-2 number, since 2×310201311312002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31020131131207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 18949376782 + ... + 18949378418.

It is an arithmetic number, because the mean of its divisors is an integer number (116009925460).

Almost surely, 231020131131200 is an apocalyptic number.

31020131131200 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 31020131131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58469002431840).

31020131131200 is an abundant number, since it is smaller than the sum of its proper divisors (85917873732480).

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

31020131131200 is a wasteful number, since it uses less digits than its factorization.

31020131131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1913 (or 1791 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31020131131200 its reverse (213113102013), we get a palindrome (31233244233213).

The spelling of 31020131131200 in words is "thirty-one trillion, twenty billion, one hundred thirty-one million, one hundred thirty-one thousand, two hundred".