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3103200001000 = 235311231381937
BaseRepresentation
bin101101001010000101001…
…000100011101111101000
3101222122220100021111211101
4231022011020203233220
5401320323200013000
610333331305411144
7440125121535421
oct55120510435750
911878810244741
103103200001000
11a97072555a00
12421507499ab4
131968272ab758
14aa2a4d42648
1555ac487be6a
hex2d285223be8

3103200001000 has 192 divisors, whose sum is σ = 8007233729040. Its totient is φ = 1124817408000.

The previous prime is 3103200000997. The next prime is 3103200001021. The reversal of 3103200001000 is 1000023013.

It can be written as a sum of positive squares in 8 ways, for example, as 99321156 + 3103100679844 = 9966^2 + 1761562^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37832032 + ... + 37913968.

Almost surely, 23103200001000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3103200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003616864520).

3103200001000 is an abundant number, since it is smaller than the sum of its proper divisors (4904033728040).

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

3103200001000 is a wasteful number, since it uses less digits than its factorization.

3103200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82293 (or 82268 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 3103200001000 its reverse (1000023013), we get a palindrome (3104200024013).

The spelling of 3103200001000 in words is "three trillion, one hundred three billion, two hundred million, one thousand".