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103211033031 = 33292333491621
BaseRepresentation
bin110000000011111011…
…0110110000111000111
3100212101221202201111000
41200013312312013013
53142334011024111
6115225310344343
710312444206561
oct1400766660707
9325357681430
10103211033031
113a853a34807
12180051bb0b3
13996ab420a2
144dd16bc331
152a410b6c56
hex1807db61c7

103211033031 has 64 divisors (see below), whose sum is σ = 159410160000. Its totient is φ = 65919329280.

The previous prime is 103211033017. The next prime is 103211033033. The reversal of 103211033031 is 130330112301.

It is a happy number.

103211033031 is a `hidden beast` number, since 1 + 0 + 321 + 10 + 330 + 3 + 1 = 666.

It is not a de Polignac number, because 103211033031 - 210 = 103211032007 is a prime.

It is a super-2 number, since 2×1032110330312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103211032995 and 103211033013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103211033033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63670401 + ... + 63672021.

It is an arithmetic number, because the mean of its divisors is an integer number (2490783750).

Almost surely, 2103211033031 is an apocalyptic number.

103211033031 is a deficient number, since it is larger than the sum of its proper divisors (56199126969).

103211033031 is a wasteful number, since it uses less digits than its factorization.

103211033031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2235 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103211033031 its reverse (130330112301), we get a palindrome (233541145332).

The spelling of 103211033031 in words is "one hundred three billion, two hundred eleven million, thirty-three thousand, thirty-one".

Divisors: 1 3 9 27 29 87 233 261 349 699 783 1047 1621 2097 3141 4863 6291 6757 9423 10121 14589 20271 30363 43767 47009 60813 81317 91089 141027 182439 243951 273267 377693 423081 565729 731853 1133079 1269243 1697187 2195559 2358193 3399237 5091561 7074579 10197711 10953097 15274683 16406141 21223737 32859291 49218423 63671211 98577873 131814857 147655269 295733619 395444571 442965807 1186333713 3559001139 3822630853 11467892559 34403677677 103211033031