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13102000112223 = 3211289263514001
BaseRepresentation
bin1011111010101000110000…
…0100000000001001011111
31201101112112220201002200200
42332222030010000021133
53204130344012042343
643510550432554543
72521405530300021
oct276521404001137
951345486632620
1013102000112223
1141a1588549800
1215773093b2a53
137406899812c9
143341d6970011
1517ac2e2a74d3
hexbea8c10025f

13102000112223 has 72 divisors (see below), whose sum is σ = 21115736722080. Its totient is φ = 7821517440000.

The previous prime is 13102000112219. The next prime is 13102000112231. The reversal of 13102000112223 is 32221100020131.

13102000112223 is a `hidden beast` number, since 1 + 310 + 20 + 0 + 0 + 112 + 223 = 666.

It is not a de Polignac number, because 13102000112223 - 22 = 13102000112219 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13102000112196 and 13102000112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13102002112223) 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 71 ways as a sum of consecutive naturals, for example, 25233223 + ... + 25747223.

It is an arithmetic number, because the mean of its divisors is an integer number (293274121140).

Almost surely, 213102000112223 is an apocalyptic number.

13102000112223 is a deficient number, since it is larger than the sum of its proper divisors (8013736609857).

13102000112223 is a wasteful number, since it uses less digits than its factorization.

13102000112223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514381 (or 514367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13102000112223 its reverse (32221100020131), we get a palindrome (45323100132354).

The spelling of 13102000112223 in words is "thirteen trillion, one hundred two billion, one hundred twelve thousand, two hundred twenty-three".

Divisors: 1 3 9 11 33 89 99 121 263 267 363 789 801 979 1089 2367 2893 2937 8679 8811 10769 23407 26037 31823 32307 70221 95469 96921 210663 257477 286407 514001 772431 1542003 2317293 2832247 4626009 5654011 8496741 16962033 25490223 45746089 50886099 62194121 135182263 137238267 186582363 405546789 411714801 503206979 559747089 1216640367 1487004893 1509620937 4461014679 4528862811 5535276769 12031221407 13383044037 16357053823 16605830307 36093664221 49071161469 49817490921 108280992663 132343435477 147213484407 397030306431 1191090919293 1455777790247 4367333370741 13102000112223