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223013020131 = 321128310723059
BaseRepresentation
bin1100111110110010011…
…1001010000111100011
3210022122011100020100100
43033230213022013203
512123212313121011
6250241210553443
722053320252106
oct3175447120743
9708564306310
10223013020131
1186641043900
123727a738883
1318050cb9755
14ab185dc73d
155c039a6d56
hex33ec9ca1e3

223013020131 has 72 divisors (see below), whose sum is σ = 361707353280. Its totient is φ = 132277289760.

The previous prime is 223013020129. The next prime is 223013020207. The reversal of 223013020131 is 131020310322.

223013020131 is a `hidden beast` number, since 2 + 230 + 1 + 302 + 0 + 131 = 666.

It is not a de Polignac number, because 223013020131 - 21 = 223013020129 is a prime.

It is a super-2 number, since 2×2230130201312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (223013020331) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9659880 + ... + 9682938.

It is an arithmetic number, because the mean of its divisors is an integer number (5023713240).

Almost surely, 2223013020131 is an apocalyptic number.

223013020131 is a deficient number, since it is larger than the sum of its proper divisors (138694333149).

223013020131 is a wasteful number, since it uses less digits than its factorization.

223013020131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23277 (or 23263 counting only the distinct ones).

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

Adding to 223013020131 its reverse (131020310322), we get a palindrome (354033330453).

Subtracting from 223013020131 its reverse (131020310322), we obtain a square (91992709809 = 3033032).

The spelling of 223013020131 in words is "two hundred twenty-three billion, thirteen million, twenty thousand, one hundred thirty-one".

Divisors: 1 3 9 11 33 83 99 107 121 249 321 363 747 913 963 1089 1177 2739 3531 8217 8881 10043 10593 12947 23059 26643 30129 38841 69177 79929 90387 97691 116523 207531 253649 293073 760947 879219 1074601 1913897 2282841 2467313 2790139 3223803 5741691 7401939 8370417 9671409 17225073 21052867 22205817 25111251 27140443 63158601 81421329 189475803 204786979 231581537 244263987 298544873 614360937 694744611 895634619 1843082811 2084233833 2252656769 2686903857 6757970307 20273910921 24779224459 74337673377 223013020131