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2003132131 = 7112131091669
BaseRepresentation
bin111011101100101…
…0101111011100011
312011121020122200221
41313121111323203
513100300212011
6530434023511
7100432225240
oct16731257343
95147218627
102003132131
11938796900
1247aa17b97
1325c002bb0
141500725c7
15bacd0971
hex77655ee3

2003132131 has 48 divisors (see below), whose sum is σ = 2736395200. Its totient is φ = 1426740480.

The previous prime is 2003132119. The next prime is 2003132147. The reversal of 2003132131 is 1312313002.

It is not a de Polignac number, because 2003132131 - 25 = 2003132099 is a prime.

It is a super-3 number, since 3×20031321313 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (2003132731) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1199365 + ... + 1201033.

Almost surely, 22003132131 is an apocalyptic number.

2003132131 is a deficient number, since it is larger than the sum of its proper divisors (733263069).

2003132131 is a wasteful number, since it uses less digits than its factorization.

2003132131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1820 (or 1809 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 2003132131 is about 44756.3641396394. The cubic root of 2003132131 is about 1260.5784131526.

Adding to 2003132131 its reverse (1312313002), we get a palindrome (3315445133).

The spelling of 2003132131 in words is "two billion, three million, one hundred thirty-two thousand, one hundred thirty-one".

Divisors: 1 7 11 13 77 91 109 121 143 763 847 1001 1199 1417 1573 1669 8393 9919 11011 11683 13189 15587 18359 21697 92323 109109 128513 151879 171457 181921 201949 238667 1200199 1273447 1413643 1670669 2001131 2364973 2625337 14007917 16554811 18377359 22012441 26014703 154087087 182102921 286161733 2003132131