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223330131302031 = 321319604491661953
BaseRepresentation
bin110010110001111000011001…
…001001001101011010001111
31002021202011002211122121022200
4302301320121021031122033
5213233020102103131111
62110552240154412543
765020032563350605
oct6261703111153217
91067664084577280
10223330131302031
116518385aa08566
122106aa61131153
13977cc305497c0
143d21343943875
151ac44e123b256
hexcb1e1924d68f

223330131302031 has 48 divisors (see below), whose sum is σ = 365693034252000. Its totient is φ = 130198330146816.

The previous prime is 223330131302017. The next prime is 223330131302051. The reversal of 223330131302031 is 130203131033322.

223330131302031 is a `hidden beast` number, since 2 + 23 + 3 + 301 + 3 + 1 + 302 + 0 + 31 = 666.

223330131302031 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 223330131302031 - 27 = 223330131301903 is a prime.

It is a super-2 number, since 2×2233301313020312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 223330131301986 and 223330131302004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (223330131302051) 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, 133547151 + ... + 135209103.

It is an arithmetic number, because the mean of its divisors is an integer number (7618604880250).

Almost surely, 2223330131302031 is an apocalyptic number.

223330131302031 is a deficient number, since it is larger than the sum of its proper divisors (142362902949969).

223330131302031 is a wasteful number, since it uses less digits than its factorization.

223330131302031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1722440 (or 1722437 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 223330131302031 its reverse (130203131033322), we get a palindrome (353533262335353).

The spelling of 223330131302031 in words is "two hundred twenty-three trillion, three hundred thirty billion, one hundred thirty-one million, three hundred two thousand, thirty-one".

Divisors: 1 3 9 13 19 39 57 117 171 247 741 2223 60449 181347 544041 785837 1148531 1661953 2357511 3445593 4985859 7072533 10336779 14930903 14957577 21605389 31577107 44792709 64816167 94731321 134378127 194448501 284193963 410502391 1231507173 3694521519 100463396897 301390190691 904170572073 1306024159661 1908804541043 3918072478983 5726413623129 11754217436949 17179240869387 24814459033559 74443377100677 223330131302031