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223021321131 = 37171013361651
BaseRepresentation
bin1100111110110100011…
…0110100101110101011
3210022122201221222011210
43033231012310232223
512123221424234011
6250242104524203
722053450644220
oct3175506645653
9708581858153
10223021321131
11866457a3534
1237281480663
1318052934b9b
14ab1975d947
155c045966a6
hex33ed1b4bab

223021321131 has 32 divisors (see below), whose sum is σ = 359874067968. Its totient is φ = 119930457600.

The previous prime is 223021321109. The next prime is 223021321141. The reversal of 223021321131 is 131123120322.

It is not a de Polignac number, because 223021321131 - 25 = 223021321099 is a prime.

It is a super-2 number, since 2×2230213211312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 223021321098 and 223021321107.

It is not an unprimeable number, because it can be changed into a prime (223021321141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3586656 + ... + 3648306.

It is an arithmetic number, because the mean of its divisors is an integer number (11246064624).

Almost surely, 2223021321131 is an apocalyptic number.

223021321131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

223021321131 is a deficient number, since it is larger than the sum of its proper divisors (136852746837).

223021321131 is a wasteful number, since it uses less digits than its factorization.

223021321131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71811.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 223021321131 its reverse (131123120322), we get a palindrome (354144441453).

The spelling of 223021321131 in words is "two hundred twenty-three billion, twenty-one million, three hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 357 10133 30399 61651 70931 172261 184953 212793 431557 516783 1048067 1205827 1294671 3144201 3617481 7336469 22009407 624709583 1874128749 4372967081 10620062911 13118901243 31860188733 74340440377 223021321131