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101230432032 = 25317127503971
BaseRepresentation
bin101111001000111001…
…1011100111100100000
3100200021220220202200110
41132101303130330200
53124304442311112
6114300555251320
710212404321622
oct1362163347440
9320256822613
10101230432032
1139a27a37984
1217751a49b40
1397136ca732
144c84632c12
15297728713c
hex1791cdcf20

101230432032 has 192 divisors, whose sum is σ = 284432891904. Its totient is φ = 31413473280.

The previous prime is 101230432001. The next prime is 101230432033. The reversal of 101230432032 is 230234032101.

It is not an unprimeable number, because it can be changed into a prime (101230432033) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 104253307 + ... + 104254277.

It is an arithmetic number, because the mean of its divisors is an integer number (1481421312).

Almost surely, 2101230432032 is an apocalyptic number.

101230432032 is a gapful number since it is divisible by the number (12) 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 101230432032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142216445952).

101230432032 is an abundant number, since it is smaller than the sum of its proper divisors (183202459872).

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

101230432032 is a wasteful number, since it uses less digits than its factorization.

101230432032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 101230432032 its reverse (230234032101), we get a palindrome (331464464133).

The spelling of 101230432032 in words is "one hundred one billion, two hundred thirty million, four hundred thirty-two thousand, thirty-two".