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13300121120 = 2551113737963
BaseRepresentation
bin11000110001011111…
…11011111000100000
31021022220112011020112
430120233323320200
5204214312333440
610035431430452
7650406110216
oct143057737040
937286464215
1013300121120
115705631940
1226b2225428
13133c612970
14902570cb6
1552c986965
hex318bfbe20

13300121120 has 192 divisors, whose sum is σ = 37425193344. Its totient is φ = 4402667520.

The previous prime is 13300121119. The next prime is 13300121123. The reversal of 13300121120 is 2112100331.

It is a junction number, because it is equal to n+sod(n) for n = 13300121095 and 13300121104.

It is not an unprimeable number, because it can be changed into a prime (13300121123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1666259 + ... + 1674221.

It is an arithmetic number, because the mean of its divisors is an integer number (194922882).

Almost surely, 213300121120 is an apocalyptic number.

13300121120 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 13300121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18712596672).

13300121120 is an abundant number, since it is smaller than the sum of its proper divisors (24125072224).

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

13300121120 is a wasteful number, since it uses less digits than its factorization.

13300121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8075 (or 8067 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 13300121120 its reverse (2112100331), we get a palindrome (15412221451).

The spelling of 13300121120 in words is "thirteen billion, three hundred million, one hundred twenty-one thousand, one hundred twenty".