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13102231122141 = 3717210942534657
BaseRepresentation
bin1011111010101001100111…
…0101001111000011011101
31201101120011000101121201120
42332222121311033003131
53204131332131402031
643511025404201153
72521414333660230
oct276523165170335
951346130347646
1013102231122141
1141a1696991997
1215773728391b9
137406c57a5175
14334219505417
1517ac446d9a96
hexbea99d4f0dd

13102231122141 has 96 divisors (see below), whose sum is σ = 21413024244480. Its totient is φ = 6978790047744.

The previous prime is 13102231122119. The next prime is 13102231122163. The reversal of 13102231122141 is 14122113220131.

It is an interprime number because it is at equal distance from previous prime (13102231122119) and next prime (13102231122163).

It is not a de Polignac number, because 13102231122141 - 25 = 13102231122109 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102231122641) 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, 2813446485 + ... + 2813451141.

It is an arithmetic number, because the mean of its divisors is an integer number (223052335880).

Almost surely, 213102231122141 is an apocalyptic number.

It is an amenable number.

13102231122141 is a deficient number, since it is larger than the sum of its proper divisors (8310793122339).

13102231122141 is a wasteful number, since it uses less digits than its factorization.

13102231122141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9063 (or 9046 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 13102231122141 its reverse (14122113220131), we get a palindrome (27224344342272).

The spelling of 13102231122141 in words is "thirteen trillion, one hundred two billion, two hundred thirty-one million, one hundred twenty-two thousand, one hundred forty-one".

Divisors: 1 3 7 17 21 51 109 119 289 327 357 763 867 1853 2023 2289 4253 4657 5559 6069 12759 12971 13971 29771 31501 32599 38913 72301 79169 89313 94503 97797 216903 220507 237507 463577 506107 507613 554183 661521 1229117 1345873 1390731 1518321 1522839 1662549 3245039 3553291 3687351 4037619 7880809 8603819 8629421 9421111 9735117 10659873 19806221 23642427 25811457 25888263 28263333 55165663 59418663 60405947 133973753 138643547 146700157 165496989 181217841 336705757 401921259 415930641 440100471 937816271 1010117271 1026901099 2158878089 2356940299 2813448813 3080703297 5723997869 6476634267 7070820897 15112146623 17171993607 36700927513 40067985083 45336439869 110102782539 120203955249 256906492591 623915767721 770719477773 1871747303163 4367410374047 13102231122141