Search a number
-
+
120001300131020 = 2257116710710869427
BaseRepresentation
bin11011010010001111111010…
…110111011110110011001100
3120201220000022221012112102012
4123102033322313132303030
5111212100130313143040
61103115500343120352
734163544041131460
oct3322177267366314
9521800287175365
10120001300131020
11352662a1550960
12115610807430b8
1351c60c68ac479
14218c1459c64a0
15dd179886e865
hex6d23faddeccc

120001300131020 has 192 divisors, whose sum is σ = 321854719463424. Its totient is φ = 36500402062080.

The previous prime is 120001300131001. The next prime is 120001300131043. The reversal of 120001300131020 is 20131003100021.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120001300130986 and 120001300131004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5605547 + ... + 16474973.

It is an arithmetic number, because the mean of its divisors is an integer number (1676326663872).

Almost surely, 2120001300131020 is an apocalyptic number.

120001300131020 is a gapful number since it is divisible by the number (10) 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 120001300131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160927359731712).

120001300131020 is an abundant number, since it is smaller than the sum of its proper divisors (201853419332404).

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

120001300131020 is a wasteful number, since it uses less digits than its factorization.

120001300131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10869628 (or 10869626 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 120001300131020 its reverse (20131003100021), we get a palindrome (140132303231041).

The spelling of 120001300131020 in words is "one hundred twenty trillion, one billion, three hundred million, one hundred thirty-one thousand, twenty".