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13342740120 = 2333519691941
BaseRepresentation
bin11000110110100101…
…00000111010011000
31021102212201102112000
430123102200322120
5204311220140440
610043553121000
7651434263653
oct143322407230
937385642460
1013342740120
1157276a1156
122704559160
1313483b55c8
149080a689a
155315a4730
hex31b4a0e98

13342740120 has 256 divisors, whose sum is σ = 46934208000. Its totient is φ = 3362342400.

The previous prime is 13342740119. The next prime is 13342740133. The reversal of 13342740120 is 2104724331.

It is a happy number.

It is a super-2 number, since 2×133427401202 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14178850 + ... + 14179790.

It is an arithmetic number, because the mean of its divisors is an integer number (183336750).

Almost surely, 213342740120 is an apocalyptic number.

13342740120 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 13342740120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23467104000).

13342740120 is an abundant number, since it is smaller than the sum of its proper divisors (33591467880).

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

13342740120 is a wasteful number, since it uses less digits than its factorization.

13342740120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1671 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 13342740120 in words is "thirteen billion, three hundred forty-two million, seven hundred forty thousand, one hundred twenty".