Search a number
-
+
120222032010 = 23523613284233
BaseRepresentation
bin110111111110111001…
…0101010000010001010
3102111022110222000011020
41233331302222002022
53432203320011020
6131121303213310
711454133261023
oct1577562520212
9374273860136
10120222032010
1146a93226053
121b372147236
13b44c1b6962
145b66a21c4a
1531d9712c40
hex1bfdcaa08a

120222032010 has 64 divisors (see below), whose sum is σ = 301570000128. Its totient is φ = 30615197184.

The previous prime is 120222032009. The next prime is 120222032017. The reversal of 120222032010 is 10230222021.

It is a happy number.

It is a super-2 number, since 2×1202220320102 (a number of 23 digits) contains 22 as substring.

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 (120222032017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280854 + ... + 565086.

It is an arithmetic number, because the mean of its divisors is an integer number (4712031252).

Almost surely, 2120222032010 is an apocalyptic number.

120222032010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 120222032010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150785000064).

120222032010 is an abundant number, since it is smaller than the sum of its proper divisors (181347968118).

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

120222032010 is a wasteful number, since it uses less digits than its factorization.

120222032010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284879.

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 120222032010 its reverse (10230222021), we get a palindrome (130452254031).

The spelling of 120222032010 in words is "one hundred twenty billion, two hundred twenty-two million, thirty-two thousand, ten".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 230 345 613 690 1226 1839 3065 3678 6130 9195 14099 18390 28198 42297 70495 84594 140990 211485 284233 422970 568466 852699 1421165 1705398 2842330 4263495 6537359 8526990 13074718 19612077 32686795 39224154 65373590 98060385 174234829 196120770 348469658 522704487 871174145 1045408974 1742348290 2613522435 4007401067 5227044870 8014802134 12022203201 20037005335 24044406402 40074010670 60111016005 120222032010