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31231212000 = 2535319136979
BaseRepresentation
bin11101000101100001…
…100111100111100000
32222121120000221201120
4131011201213213200
51002430142241000
622203013132240
72153636631132
oct350541474740
988546027646
1031231212000
111227722890a
12607732a080
132c39497101
141723b81052
15c2bc7c6a0
hex7458679e0

31231212000 has 192 divisors, whose sum is σ = 107699155200. Its totient is φ = 7889932800.

The previous prime is 31231211959. The next prime is 31231212037. The reversal of 31231212000 is 21213213.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 159511 + ... + 296489.

It is an arithmetic number, because the mean of its divisors is an integer number (560933100).

Almost surely, 231231212000 is an apocalyptic number.

31231212000 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 31231212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53849577600).

31231212000 is an abundant number, since it is smaller than the sum of its proper divisors (76467943200).

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

31231212000 is a wasteful number, since it uses less digits than its factorization.

31231212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137026 (or 137008 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 31231212000 its reverse (21213213), we get a palindrome (31252425213).

The spelling of 31231212000 in words is "thirty-one billion, two hundred thirty-one million, two hundred twelve thousand".