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10003301313012 = 223272231237319927
BaseRepresentation
bin1001000110010001001100…
…1110001010100111110100
31022102022021021020022220200
42101210103032022213310
52302343230114004022
633135241515400500
72051500063135500
oct221442316124764
938368237208820
1010003301313012
113207415895387
121156859453130
135773cc0aa387
1426823b76b300
1512531eba4bac
hex9191338a9f4

10003301313012 has 216 divisors, whose sum is σ = 30697380395136. Its totient is φ = 2733463345536.

The previous prime is 10003301312981. The next prime is 10003301313041. The reversal of 10003301313012 is 21031310330001.

It is a happy number.

10003301313012 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 330 + 1 + 31 + 301 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 501987393 + ... + 502007319.

Almost surely, 210003301313012 is an apocalyptic number.

10003301313012 is a gapful number since it is divisible by the number (12) 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 10003301313012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15348690197568).

10003301313012 is an abundant number, since it is smaller than the sum of its proper divisors (20694079082124).

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

10003301313012 is a wasteful number, since it uses less digits than its factorization.

10003301313012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32347 (or 32335 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10003301313012 its reverse (21031310330001), we get a palindrome (31034611643013).

The spelling of 10003301313012 in words is "ten trillion, three billion, three hundred one million, three hundred thirteen thousand, twelve".