Base | Representation |
---|---|
bin | 1110100011111111101110… |
… | …10110010000110011000000 |
3 | 11012101101022001121011020220 |
4 | 13101333313112100303000 |
5 | 13144131333014000000 |
6 | 152035120121503040 |
7 | 6513411016221120 |
oct | 721776726206300 |
9 | 135341261534226 |
10 | 32023131000000 |
11 | a226a2a676568 |
12 | 3712369941a80 |
13 | 14b39cac3b46a |
14 | 7c9cdbca8c80 |
15 | 3a7edd8411a0 |
hex | 1d1ff7590cc0 |
32023131000000 has 784 divisors, whose sum is σ = 121585068691200. Its totient is φ = 7286515200000.
The previous prime is 32023130999947. The next prime is 32023131000001. The reversal of 32023131000000 is 13132023.
It is a super-4 number, since 4×320231310000004 (a number of 55 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (15).
It is not an unprimeable number, because it can be changed into a prime (32023131000001) by changing a digit.
It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4808996671 + ... + 4809003329.
Almost surely, 232023131000000 is an apocalyptic number.
32023131000000 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 32023131000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60792534345600).
32023131000000 is an abundant number, since it is smaller than the sum of its proper divisors (89561937691200).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
32023131000000 is an frugal number, since it uses more digits than its factorization.
32023131000000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6940 (or 6905 counting only the distinct ones).
The product of its (nonzero) digits is 108, while the sum is 15.
Adding to 32023131000000 its reverse (13132023), we get a palindrome (32023144132023).
The spelling of 32023131000000 in words is "thirty-two trillion, twenty-three billion, one hundred thirty-one million", and thus it is an aban number.
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