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221303102031 = 32115379533887
BaseRepresentation
bin1100111000011010110…
…0010101101001001111
3210011012222211101200100
43032012230111221033
512111212043231111
6245355405302143
721663045221124
oct3160654255117
9704188741610
10221303102031
1185943917050
1236a81b64953
1317b3a9799ab
14a9d549474b
155b537e4756
hex3386b15a4f

221303102031 has 48 divisors (see below), whose sum is σ = 359797800960. Its totient is φ = 129926496960.

The previous prime is 221303102017. The next prime is 221303102081. The reversal of 221303102031 is 130201303122.

221303102031 is a `hidden beast` number, since 22 + 130 + 310 + 203 + 1 = 666.

It is not a de Polignac number, because 221303102031 - 26 = 221303101967 is a prime.

It is a super-2 number, since 2×2213031020312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221303101995 and 221303102013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221303102081) 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, 147570 + ... + 681456.

It is an arithmetic number, because the mean of its divisors is an integer number (7495787520).

Almost surely, 2221303102031 is an apocalyptic number.

221303102031 is a deficient number, since it is larger than the sum of its proper divisors (138494698929).

221303102031 is a wasteful number, since it uses less digits than its factorization.

221303102031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534036 (or 534033 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 221303102031 its reverse (130201303122), we get a palindrome (351504405153).

The spelling of 221303102031 in words is "two hundred twenty-one billion, three hundred three million, one hundred two thousand, thirty-one".

Divisors: 1 3 9 11 33 53 79 99 159 237 477 583 711 869 1749 2607 4187 5247 7821 12561 37683 46057 138171 414513 533887 1601661 4804983 5872757 17618271 28296011 42177073 52854813 84888033 126531219 254664099 311256121 379593657 463947803 933768363 1391843409 2235384869 2801305089 4175530227 6706154607 20118463821 24589233559 73767700677 221303102031