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203302130031 = 327111337609907
BaseRepresentation
bin1011110101010111000…
…0000101000101101111
3201102202110211021022200
42331111300011011233
511312330321130111
6233221250112543
720455005410160
oct2752560050557
9642673737280
10203302130031
1179246830390
123349957b753
131622c498b80
149ba8893767
15544d2e8256
hex2f55c0516f

203302130031 has 96 divisors (see below), whose sum is σ = 404939877888. Its totient is φ = 94852581120.

The previous prime is 203302130011. The next prime is 203302130111. The reversal of 203302130031 is 130031203302.

203302130031 is a `hidden beast` number, since 2 + 0 + 330 + 2 + 1 + 300 + 31 = 666.

It is not a de Polignac number, because 203302130031 - 213 = 203302121839 is a prime.

It is a super-2 number, since 2×2033021300312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 203302129986 and 203302130013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203302130011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28380 + ... + 638286.

It is an arithmetic number, because the mean of its divisors is an integer number (4218123728).

Almost surely, 2203302130031 is an apocalyptic number.

203302130031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

203302130031 is a deficient number, since it is larger than the sum of its proper divisors (201637747857).

203302130031 is a wasteful number, since it uses less digits than its factorization.

203302130031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 609981 (or 609978 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 203302130031 its reverse (130031203302), we get a palindrome (333333333333).

It can be divided in two parts, 203302 and 130031, that added together give a palindrome (333333).

The spelling of 203302130031 in words is "two hundred three billion, three hundred two million, one hundred thirty thousand, thirty-one".

Divisors: 1 3 7 9 11 13 21 33 37 39 63 77 91 99 111 117 143 231 259 273 333 407 429 481 693 777 819 1001 1221 1287 1443 2331 2849 3003 3367 3663 4329 5291 8547 9009 10101 15873 25641 30303 37037 47619 111111 333333 609907 1829721 4269349 5489163 6708977 7928791 12808047 20126931 22566559 23786373 38424141 46962839 55501537 60380793 67699677 71359119 87216701 140888517 157965913 166504611 203099031 248232149 261650103 293365267 422665551 473897739 499513833 610516907 744696447 784950309 880095801 1421693217 1737625043 1831550721 2053556869 2234089341 2640287403 3227017937 5212875129 5494652163 6160670607 9681053811 15638625387 18482011821 22589125559 29043161433 67767376677 203302130031