Search a number
-
+
2031310032000 = 27353268315773
BaseRepresentation
bin11101100011110011100…
…000110100110010000000
321012012011111012021101220
4131203303200310302000
5231240110332011000
64153100531355040
7266520520246134
oct35436340646200
97165144167356
102031310032000
11713523614297
12289821752a80
13119723167722
147045ccab3c4
1537c8bb291a0
hex1d8f3834c80

2031310032000 has 256 divisors, whose sum is σ = 6736729633920. Its totient is φ = 541446451200.

The previous prime is 2031310031983. The next prime is 2031310032019. The reversal of 2031310032000 is 2300131302.

It is a super-2 number, since 2×20313100320002 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128776114 + ... + 128791886.

Almost surely, 22031310032000 is an apocalyptic number.

2031310032000 is a gapful number since it is divisible by the number (20) 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 2031310032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368364816960).

2031310032000 is an abundant number, since it is smaller than the sum of its proper divisors (4705419601920).

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

2031310032000 is a wasteful number, since it uses less digits than its factorization.

2031310032000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18488 (or 18466 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 2031310032000 its reverse (2300131302), we get a palindrome (2033610163302).

The spelling of 2031310032000 in words is "two trillion, thirty-one billion, three hundred ten million, thirty-two thousand".