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103120003131033 = 372107239271310111
BaseRepresentation
bin10111011100100101111111…
…001001111110011010011001
3111112010011202022122111012110
4113130211333021332122121
5102004004231300143113
61003152401521502533
730502113544162200
oct2734457711763231
9445104668574173
10103120003131033
112a947a474863a9
12b6954204a1a49
1345702366b8395
141b6706b628237
15bdc5c43d6bc3
hex5dc97f27e699

103120003131033 has 96 divisors (see below), whose sum is σ = 162187264327680. Its totient is φ = 58103587664640.

The previous prime is 103120003131029. The next prime is 103120003131043. The reversal of 103120003131033 is 330131300021301.

It is not a de Polignac number, because 103120003131033 - 22 = 103120003131029 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (103120003131043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10198788648 + ... + 10198798758.

It is an arithmetic number, because the mean of its divisors is an integer number (1689450670080).

Almost surely, 2103120003131033 is an apocalyptic number.

It is an amenable number.

103120003131033 is a deficient number, since it is larger than the sum of its proper divisors (59067261196647).

103120003131033 is a wasteful number, since it uses less digits than its factorization.

103120003131033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103120003131033 its reverse (330131300021301), we get a palindrome (433251303152334).

The spelling of 103120003131033 in words is "one hundred three trillion, one hundred twenty billion, three million, one hundred thirty-one thousand, thirty-three".

Divisors: 1 3 7 21 49 107 147 239 321 717 749 1673 2247 2713 5019 5243 8139 10111 11711 15729 18991 25573 30333 35133 56973 70777 76719 132937 179011 212331 290291 398811 495439 537033 648407 870873 1081877 1253077 1486317 1945221 2032037 2416529 3245631 3759231 4538849 6096111 7249587 7573139 13616547 14224259 16915703 22719417 27431143 31771943 42672777 50747109 53011973 69379549 82293429 95315829 118409921 159035919 192018001 208138647 258568603 355229763 485656843 576054003 775705809 1344126007 1456970529 1809980221 2935132301 3399597901 4032378021 5429940663 6556043177 8805396903 10198793703 12669861547 19668129531 20545926107 38009584641 45892302239 61637778321 137676906717 143821482749 321246115673 431464448247 701496619939 963738347019 2104489859817 4910476339573 14731429018719 34373334377011 103120003131033