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13141210341 = 37173110211163
BaseRepresentation
bin11000011110100011…
…01111010011100101
31020220211111122122010
430033101233103211
5203403122212331
610011553424433
7643436305410
oct141721572345
936824448563
1013141210341
115633963916
122668b6b119
131315713c0c
148c9406b77
1551da46e46
hex30f46f4e5

13141210341 has 64 divisors (see below), whose sum is σ = 21926854656. Its totient is φ = 6826982400.

The previous prime is 13141210261. The next prime is 13141210343. The reversal of 13141210341 is 14301214131.

It is not a de Polignac number, because 13141210341 - 215 = 13141177573 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13141210343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11298826 + ... + 11299988.

It is an arithmetic number, because the mean of its divisors is an integer number (342607104).

Almost surely, 213141210341 is an apocalyptic number.

It is an amenable number.

13141210341 is a deficient number, since it is larger than the sum of its proper divisors (8785644315).

13141210341 is a wasteful number, since it uses less digits than its factorization.

13141210341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2242.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 13141210341 its reverse (14301214131), we get a palindrome (27442424472).

The spelling of 13141210341 in words is "thirteen billion, one hundred forty-one million, two hundred ten thousand, three hundred forty-one".

Divisors: 1 3 7 17 21 31 51 93 119 217 357 527 651 1021 1163 1581 3063 3489 3689 7147 8141 11067 17357 19771 21441 24423 31651 36053 52071 59313 94953 108159 121499 138397 221557 252371 364497 415191 538067 612901 664671 757113 1187423 1614201 1838703 3562269 3766469 4290307 8311961 11299407 12870921 20186191 24935883 36810113 60558573 110430339 141303337 257670791 423910011 625771921 773012373 1877315763 4380403447 13141210341