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9934301220312 = 233737109145310091
BaseRepresentation
bin1001000010010000001001…
…1111101100110111011000
31022011201011112101102222210
42100210002133230313120
52300230422103022222
633043431024115120
72043505150052460
oct220440237546730
938151145342883
109934301220312
113190128063487
121145401465aa0
13570a53b69961
14264b7387aba0
15123632257d0c
hex909027ecdd8

9934301220312 has 256 divisors, whose sum is σ = 29441448115200. Its totient is φ = 2734168504320.

The previous prime is 9934301220293. The next prime is 9934301220317. The reversal of 9934301220312 is 2130221034399.

It is a happy number.

It is a super-2 number, since 2×99343012203122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9934301220317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 984466387 + ... + 984476477.

It is an arithmetic number, because the mean of its divisors is an integer number (115005656700).

Almost surely, 29934301220312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9934301220312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720724057600).

9934301220312 is an abundant number, since it is smaller than the sum of its proper divisors (19507146894888).

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

9934301220312 is a wasteful number, since it uses less digits than its factorization.

9934301220312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11706 (or 11702 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The spelling of 9934301220312 in words is "nine trillion, nine hundred thirty-four billion, three hundred one million, two hundred twenty thousand, three hundred twelve".