Search a number
-
+
120010101002020 = 22553113217076417
BaseRepresentation
bin11011010010011000000111…
…011100001000111100100100
3120201220212001021121002210101
4123102120013130020330210
5111212221141324031040
61103123513532233444
734164305115243505
oct3322300734107444
9521825037532711
10120010101002020
1135269aa83a4569
121156291800b884
1351c6b9a01ba48
14218c73c7a4bac
15dd1b1131509a
hex6d2607708f24

120010101002020 has 24 divisors (see below), whose sum is σ = 256776329316024. Its totient is φ = 47098303789056.

The previous prime is 120010101001993. The next prime is 120010101002021. The reversal of 120010101002020 is 20200101010021.

120010101002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 40439526387264 + 79570574614756 = 6359208^2 + 8920234^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 120010101001988 and 120010101002006.

It is not an unprimeable number, because it can be changed into a prime (120010101002021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56608537149 + ... + 56608539268.

It is an arithmetic number, because the mean of its divisors is an integer number (10699013721501).

Almost surely, 2120010101002020 is an apocalyptic number.

120010101002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120010101002020 is an abundant number, since it is smaller than the sum of its proper divisors (136766228314004).

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

120010101002020 is a wasteful number, since it uses less digits than its factorization.

120010101002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113217076479 (or 113217076477 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120010101002020 its reverse (20200101010021), we get a palindrome (140210202012041).

The spelling of 120010101002020 in words is "one hundred twenty trillion, ten billion, one hundred one million, two thousand, twenty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 113217076417 226434152834 452868305668 566085382085 1132170764170 2264341528340 6000505050101 12001010100202 24002020200404 30002525250505 60005050501010 120010101002020