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13141122140 = 2254191568153
BaseRepresentation
bin11000011110100010…
…11001110001011100
31020220211100011122102
430033101121301130
5203403111402030
610011551504232
7643435460306
oct141721316134
936824304572
1013141122140
115633903623
122668b28078
1313156b2a23
148c93c2976
1551da2ac45
hex30f459c5c

13141122140 has 24 divisors (see below), whose sum is σ = 27662236560. Its totient is φ = 5243900288.

The previous prime is 13141122109. The next prime is 13141122157. The reversal of 13141122140 is 4122114131.

13141122140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 775697 + ... + 792456.

It is an arithmetic number, because the mean of its divisors is an integer number (1152593190).

Almost surely, 213141122140 is an apocalyptic number.

13141122140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13141122140 is an abundant number, since it is smaller than the sum of its proper divisors (14521114420).

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

13141122140 is a wasteful number, since it uses less digits than its factorization.

13141122140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1568581 (or 1568579 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 13141122140 its reverse (4122114131), we get a palindrome (17263236271).

The spelling of 13141122140 in words is "thirteen billion, one hundred forty-one million, one hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 419 838 1676 2095 4190 8380 1568153 3136306 6272612 7840765 15681530 31363060 657056107 1314112214 2628224428 3285280535 6570561070 13141122140