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120231312313320 = 2333513139166936913
BaseRepresentation
bin11011010101100110001000…
…101010010100101111101000
3120202201000000212201001021000
4123111212020222110233220
5111224332211423011240
61103413300302315000
734216266000333315
oct3325461052245750
9522630025631230
10120231312313320
11353448a44168aa
1211599773288a60
1352119c196a6a0
1421993259a3d0c
15dd775ba27430
hex6d5988a94be8

120231312313320 has 512 divisors, whose sum is σ = 434976857280000. Its totient is φ = 29364083048448.

The previous prime is 120231312313249. The next prime is 120231312313429. The reversal of 120231312313320 is 23313213132021.

120231312313320 is a `hidden beast` number, since 1 + 2 + 0 + 2 + 3 + 1 + 312 + 313 + 32 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 3257135184 + ... + 3257172096.

It is an arithmetic number, because the mean of its divisors is an integer number (849564174375).

Almost surely, 2120231312313320 is an apocalyptic number.

120231312313320 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 120231312313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217488428640000).

120231312313320 is an abundant number, since it is smaller than the sum of its proper divisors (314745544966680).

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

120231312313320 is a wasteful number, since it uses less digits than its factorization.

120231312313320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38754 (or 38744 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 120231312313320 its reverse (23313213132021), we get a palindrome (143544525445341).

The spelling of 120231312313320 in words is "one hundred twenty trillion, two hundred thirty-one billion, three hundred twelve million, three hundred thirteen thousand, three hundred twenty".