Search a number
-
+
120221312130 = 23551715119273
BaseRepresentation
bin110111111110110111…
…1111010010010000010
3102111022102121102200000
41233331233322102002
53432203123442010
6131121235540430
711454124202163
oct1577557722202
9374272542600
10120221312130
1146a92884207
121b371a5a716
13b44bcc40aa
145b668b576a
1531d961e7c0
hex1bfdbfa482

120221312130 has 192 divisors, whose sum is σ = 345510966528. Its totient is φ = 29971814400.

The previous prime is 120221312117. The next prime is 120221312153. The reversal of 120221312130 is 31213122021.

120221312130 is a `hidden beast` number, since 1 + 2 + 0 + 221 + 312 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6228174 + ... + 6247446.

It is an arithmetic number, because the mean of its divisors is an integer number (1799536284).

Almost surely, 2120221312130 is an apocalyptic number.

120221312130 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 120221312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172755483264).

120221312130 is an abundant number, since it is smaller than the sum of its proper divisors (225289654398).

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

120221312130 is a wasteful number, since it uses less digits than its factorization.

120221312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19463 (or 19451 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120221312130 its reverse (31213122021), we get a palindrome (151434434151).

The spelling of 120221312130 in words is "one hundred twenty billion, two hundred twenty-one million, three hundred twelve thousand, one hundred thirty".