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120302311320 = 23355311572543
BaseRepresentation
bin111000000001010010…
…0111001011110011000
3102111112002000121200000
41300002210321132120
53432334342430240
6131133252013000
711456126526342
oct1600244713630
9374462017600
10120302311320
1147024578094
121b395001160
13b462a141c9
145b7355c292
1531e17be430
hex1c02939798

120302311320 has 384 divisors, whose sum is σ = 421374320640. Its totient is φ = 30835883520.

The previous prime is 120302311301. The next prime is 120302311361. The reversal of 120302311320 is 23113203021.

120302311320 is a `hidden beast` number, since 1 + 2 + 0 + 30 + 2 + 311 + 320 = 666.

It is a super-3 number, since 3×1203023113203 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 120302311293 and 120302311302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47305969 + ... + 47308511.

It is an arithmetic number, because the mean of its divisors is an integer number (1097328960).

Almost surely, 2120302311320 is an apocalyptic number.

120302311320 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 120302311320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210687160320).

120302311320 is an abundant number, since it is smaller than the sum of its proper divisors (301072009320).

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

120302311320 is a wasteful number, since it uses less digits than its factorization.

120302311320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120302311320 its reverse (23113203021), we get a palindrome (143415514341).

The spelling of 120302311320 in words is "one hundred twenty billion, three hundred two million, three hundred eleven thousand, three hundred twenty".