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2002301222031 = 321131792107977
BaseRepresentation
bin11101001000110010011…
…100111111110010001111
321002102021211000001010200
4131020302130333302033
5230301203103101111
64131502224104543
7264442614366135
oct35106234776217
97072254001120
102002301222031
11702197926a80
12284086765153
13116a7c246806
146ccaa359755
1537140041256
hex1d23273fc8f

2002301222031 has 144 divisors (see below), whose sum is σ = 3332905325568. Its totient is φ = 1147492569600.

The previous prime is 2002301222029. The next prime is 2002301222069. The reversal of 2002301222031 is 1302221032002.

2002301222031 is a `hidden beast` number, since 200 + 230 + 12 + 220 + 3 + 1 = 666.

It is not a de Polignac number, because 2002301222031 - 21 = 2002301222029 is a prime.

It is a super-2 number, since 2×20023012220312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2002301221995 and 2002301222013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002301221031) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2049437815 + ... + 2049438791.

It is an arithmetic number, because the mean of its divisors is an integer number (23145175872).

Almost surely, 22002301222031 is an apocalyptic number.

2002301222031 is a deficient number, since it is larger than the sum of its proper divisors (1330604103537).

2002301222031 is a wasteful number, since it uses less digits than its factorization.

2002301222031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2002301222031 its reverse (1302221032002), we get a palindrome (3304522254033).

The spelling of 2002301222031 in words is "two trillion, two billion, three hundred one million, two hundred twenty-two thousand, thirty-one".

Divisors: 1 3 9 11 31 33 79 93 99 107 237 279 321 341 711 869 963 977 1023 1177 2449 2607 2931 3069 3317 3531 6241 7347 7821 8453 8793 9951 10593 10747 18723 22041 25359 26939 29853 30287 32241 36487 56169 68651 76077 77183 80817 90861 92983 96723 104539 109461 193471 205953 231549 242451 262043 272583 278949 313617 328383 333157 580413 617859 667787 694647 786129 836847 849013 940851 999471 1149929 1741239 2003361 2128181 2358387 2392673 2547039 2882473 2998413 3240709 3449787 6010083 6097457 6384543 7178019 7345657 7641117 8258581 8647419 9722127 10349361 18292371 19153629 20701397 21534057 22036971 24775743 25942257 26319403 29166381 35647799 54877113 62104191 66110913 67072027 74327229 78958209 90844391 106943397 186312573 189021167 201216081 227715367 236874627 256016011 272533173 320830191 567063501 603648243 652427899 683146101 768048033 817599519 1701190503 1957283697 2049438303 2079232837 2304144099 2816176121 5871851091 6237698511 7176706889 8448528363 18713095533 20225264869 21530120667 25345585089 60675794607 64590362001 182027383821 222477913559 667433740677 2002301222031