Search a number
-
+
120031323203220 = 22351113271130139679
BaseRepresentation
bin11011010010101011111000…
…011000011010011010010100
3120201222212211021220121220020
4123102223320120122122110
5111213043122220000340
61103141343441505140
734165656041053302
oct3322537030323224
9521885737817806
10120031323203220
1135277aa8813420
1211566a5b3421b0
1351c8b9c992150
14218d793119272
15dd24545049d0
hex6d2af861a694

120031323203220 has 384 divisors, whose sum is σ = 396615894958080. Its totient is φ = 26739797760000.

The previous prime is 120031323203201. The next prime is 120031323203287. The reversal of 120031323203220 is 22302323130021.

It is a super-2 number, since 2×1200313232032202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 3025039341 + ... + 3025079019.

It is an arithmetic number, because the mean of its divisors is an integer number (1032853893120).

Almost surely, 2120031323203220 is an apocalyptic number.

120031323203220 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 120031323203220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198307947479040).

120031323203220 is an abundant number, since it is smaller than the sum of its proper divisors (276584571754860).

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

120031323203220 is a wasteful number, since it uses less digits than its factorization.

120031323203220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41287 (or 41285 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 120031323203220 its reverse (22302323130021), we get a palindrome (142333646333241).

The spelling of 120031323203220 in words is "one hundred twenty trillion, thirty-one billion, three hundred twenty-three million, two hundred three thousand, two hundred twenty".