Base | Representation |
---|---|
bin | 110111111000100101… |
… | …0001111100000011010 |
3 | 102110202201012022012000 |
4 | 1233301022033200122 |
5 | 3431240042023002 |
6 | 131044253101430 |
7 | 11445651053355 |
oct | 1576112174032 |
9 | 373681168160 |
10 | 120010111002 |
11 | 46994640721 |
12 | 1b313187876 |
13 | b417317602 |
14 | 5b4681929c |
15 | 31c5d0161c |
hex | 1bf128f81a |
120010111002 has 128 divisors (see below), whose sum is σ = 278277120000. Its totient is φ = 38305612800.
The previous prime is 120010110977. The next prime is 120010111003. The reversal of 120010111002 is 200111010021.
It is a happy number.
It is a super-2 number, since 2×1200101110022 (a number of 23 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is not an unprimeable number, because it can be changed into a prime (120010111003) 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 63 ways as a sum of consecutive naturals, for example, 61511127 + ... + 61513077.
It is an arithmetic number, because the mean of its divisors is an integer number (2174040000).
Almost surely, 2120010111002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 120010111002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139138560000).
120010111002 is an abundant number, since it is smaller than the sum of its proper divisors (158267008998).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
120010111002 is a wasteful number, since it uses less digits than its factorization.
120010111002 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2513 (or 2507 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 120010111002 its reverse (200111010021), we get a palindrome (320121121023).
The spelling of 120010111002 in words is "one hundred twenty billion, ten million, one hundred eleven thousand, two".
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