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13121515255233 = 37211232153163871
BaseRepresentation
bin1011111011110001011101…
…0000010111010111000001
31201110101220221220002012010
42332330113100113113001
53204440330401131413
643523535122123133
72522666244256500
oct276742720272701
951411827802163
1013121515255233
1141a9892314570
12157b054ab04a9
13742479a765c8
143351286c2837
1517b4c269bdc3
hexbef174175c1

13121515255233 has 96 divisors (see below), whose sum is σ = 23178097631232. Its totient is φ = 6516939475200.

The previous prime is 13121515255229. The next prime is 13121515255271. The reversal of 13121515255233 is 33255251512131.

It is not a de Polignac number, because 13121515255233 - 22 = 13121515255229 is a prime.

It is a super-2 number, since 2×131215152552332 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13121515255191 and 13121515255200.

It is not an unprimeable number, because it can be changed into a prime (13121515255223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 79990288 + ... + 80154158.

It is an arithmetic number, because the mean of its divisors is an integer number (241438516992).

Almost surely, 213121515255233 is an apocalyptic number.

It is an amenable number.

13121515255233 is a deficient number, since it is larger than the sum of its proper divisors (10056582375999).

13121515255233 is a wasteful number, since it uses less digits than its factorization.

13121515255233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166075 (or 166068 counting only the distinct ones).

The product of its digits is 135000, while the sum is 39.

Adding to 13121515255233 its reverse (33255251512131), we get a palindrome (46376766767364).

The spelling of 13121515255233 in words is "thirteen trillion, one hundred twenty-one billion, five hundred fifteen million, two hundred fifty-five thousand, two hundred thirty-three".

Divisors: 1 3 7 11 21 23 33 49 69 77 147 161 231 253 483 539 759 1127 1617 1771 2153 3381 5313 6459 12397 15071 23683 37191 45213 49519 71049 105497 148557 163871 165781 316491 346633 491613 497343 544709 1039899 1147097 1160467 1634127 1802581 2426431 3441291 3481401 3769033 3812963 5407743 7279293 8029679 11307099 11438889 12618067 24089037 26383231 26690741 37854201 41459363 79149693 80072223 88326469 124378089 184682617 264979407 290215541 352814263 554047851 870646623 1058442789 2031508787 2469699841 3880956893 6094526361 7409099523 8114728049 11642870679 17287898887 24344184147 27166698251 51863696661 56803096343 81500094753 89262008539 170409289029 190166887757 267786025617 397621674401 570500663271 624834059773 1192865023203 1874502179319 4373838418411 13121515255233