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13101122020203 = 34731753268997
BaseRepresentation
bin1011111010100101011110…
…1110010110001101101011
31201101110021201102101220000
42332221113232112031223
53204122044214121303
643510323344234043
72521345005525000
oct276512756261553
951343251371800
1013101122020203
1141a1177920218
12157710330b923
13740579a88629
143341520b78a7
1517abcc156da3
hexbea57b9636b

13101122020203 has 80 divisors (see below), whose sum is σ = 22836208612800. Its totient is φ = 7482057028992.

The previous prime is 13101122020123. The next prime is 13101122020213. The reversal of 13101122020203 is 30202022110131.

13101122020203 is a `hidden beast` number, since 1 + 310 + 112 + 20 + 20 + 203 = 666.

It is not a de Polignac number, because 13101122020203 - 29 = 13101122019691 is a prime.

It is a super-2 number, since 2×131011220202032 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13101122020213) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 48569101 + ... + 48838097.

It is an arithmetic number, because the mean of its divisors is an integer number (285452607660).

Almost surely, 213101122020203 is an apocalyptic number.

13101122020203 is a deficient number, since it is larger than the sum of its proper divisors (9735086592597).

13101122020203 is an equidigital number, since it uses as much as digits as its factorization.

13101122020203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270783 (or 270760 counting only the distinct ones).

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

Adding to 13101122020203 its reverse (30202022110131), we get a palindrome (43303144130334).

The spelling of 13101122020203 in words is "thirteen trillion, one hundred one billion, one hundred twenty-two million, twenty thousand, two hundred three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 1753 3087 3969 5259 9261 12271 15777 27783 36813 47331 85897 110439 141993 257691 268997 331317 601279 773073 806991 993951 1803837 1882979 2319219 2420973 5411511 5648937 6957657 7262919 13180853 16234533 16946811 21788757 39542559 48703599 50840433 92265971 118627677 152521299 276797913 355883031 471551741 830393739 1067649093 1414655223 2491181217 3300862187 4243965669 7473543651 9902586561 12731897007 23106035309 29707759683 38195691021 69318105927 89123279049 161742247163 207954317781 267369837147 485226741489 623862953343 1455680224467 1871588860029 4367040673401 13101122020203