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203001130102131 = 33232953263808681
BaseRepresentation
bin101110001010000011100010…
…001111111010110101110011
3222121202201101210101110201000
4232022003202033322311303
5203101432303301232011
61555425233131013043
760521230150300164
oct5612034217726563
9877681353343630
10203001130102131
1159756328794529
121a926b8b89a183
138936c02c7c06a
14381b442a5376b
1518707d2b13356
hexb8a0e23fad73

203001130102131 has 128 divisors (see below), whose sum is σ = 332022833049600. Its totient is φ = 122161555676160.

The previous prime is 203001130102117. The next prime is 203001130102187. The reversal of 203001130102131 is 131201031100302.

203001130102131 is a `hidden beast` number, since 2 + 0 + 300 + 1 + 130 + 102 + 131 = 666.

It is not a de Polignac number, because 203001130102131 - 227 = 203000995884403 is a prime.

It is a super-2 number, since 2×2030011301021312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (203001130102231) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 250623111 + ... + 251431791.

It is an arithmetic number, because the mean of its divisors is an integer number (2593928383200).

Almost surely, 2203001130102131 is an apocalyptic number.

203001130102131 is a deficient number, since it is larger than the sum of its proper divisors (129021702947469).

203001130102131 is a wasteful number, since it uses less digits than its factorization.

203001130102131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809058 (or 809052 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 203001130102131 its reverse (131201031100302), we get a palindrome (334202161202433).

The spelling of 203001130102131 in words is "two hundred three trillion, one billion, one hundred thirty million, one hundred two thousand, one hundred thirty-one".

Divisors: 1 3 9 23 27 29 53 69 87 159 207 261 263 477 621 667 783 789 1219 1431 1537 2001 2367 3657 4611 6003 6049 7101 7627 10971 13833 13939 18009 18147 22881 32913 35351 41499 41817 54441 68643 106053 125451 163323 175421 205929 318159 320597 376353 404231 526263 808681 954477 961791 1212693 1578789 2426043 2885373 3638079 4736367 7278129 8656119 9297313 10914237 18599663 21834387 23451749 27891939 42860093 55798989 70355247 83675817 128580279 167396967 211065741 212683103 251027451 385740837 502190901 539390227 633197223 638049309 985782139 1157222511 1242942697 1618170681 1914147927 2957346417 3728828091 4854512043 4891711369 5742443781 6167809987 8872039251 11186484273 11272204459 14563536129 14675134107 18503429961 26616117753 28587682031 33559452819 33816613377 44025402321 55510289883 85763046093 101449840131 132076206963 141859629701 166530869649 257289138279 259260702557 304349520393 326893929311 425578889103 771867414837 777782107671 980681787933 1276736667309 2333346323013 2942045363799 3830210001927 7000038969039 7518560374153 8826136091397 22555681122459 67667043367377 203001130102131