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310132011030000 = 2435416996084599
BaseRepresentation
bin100011010000100000011110…
…0010110011101010111110000
31111200002022221002012222211220
41012201000330112131113300
5311122200324310430000
63015332402355505040
7122216204226313065
oct10641007426352760
91450068832188756
10310132011030000
118a8aa27a113235
122a9497b2bb8180
1310408427c71833
14568268015ac6c
1525cc3a2e561a0
hex11a103c59d5f0

310132011030000 has 200 divisors, whose sum is σ = 1001736904080000. Its totient is φ = 82653179232000.

The previous prime is 310132011029993. The next prime is 310132011030011. The reversal of 310132011030000 is 30110231013.

It is a tau number, because it is divible by the number of its divisors (200).

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 47927701 + ... + 54012299.

It is an arithmetic number, because the mean of its divisors is an integer number (5008684520400).

Almost surely, 2310132011030000 is an apocalyptic number.

310132011030000 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 310132011030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (500868452040000).

310132011030000 is an abundant number, since it is smaller than the sum of its proper divisors (691604893050000).

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

310132011030000 is a wasteful number, since it uses less digits than its factorization.

310132011030000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6086329 (or 6086308 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 310132011030000 its reverse (30110231013), we get a palindrome (310162121261013).

The spelling of 310132011030000 in words is "three hundred ten trillion, one hundred thirty-two billion, eleven million, thirty thousand".