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20233213320229 = 7213217227633151
BaseRepresentation
bin1001001100110111010010…
…11111100001110000100101
32122122021110102110200012121
410212123221133201300211
510123000110102221404
6111011002044545541
74155541613363200
oct446335137416045
978567412420177
1020233213320229
1164a0948493318
1223293ba2522b1
13b39ca361b700
144dd41543c937
152514a40b3e54
hex1266e97e1c25

20233213320229 has 72 divisors (see below), whose sum is σ = 27104492533248. Its totient is φ = 15000610060800.

The previous prime is 20233213320209. The next prime is 20233213320277. The reversal of 20233213320229 is 92202331233202.

It is not a de Polignac number, because 20233213320229 - 215 = 20233213287461 is a prime.

It is a super-2 number, since 2×202332133202292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20233213320194 and 20233213320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20233213320209) 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 71 ways as a sum of consecutive naturals, for example, 31639804 + ... + 32272954.

It is an arithmetic number, because the mean of its divisors is an integer number (376451285184).

Almost surely, 220233213320229 is an apocalyptic number.

It is an amenable number.

20233213320229 is a deficient number, since it is larger than the sum of its proper divisors (6871279213019).

20233213320229 is a wasteful number, since it uses less digits than its factorization.

20233213320229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633435 (or 633415 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 20233213320229 in words is "twenty trillion, two hundred thirty-three billion, two hundred thirteen million, three hundred twenty thousand, two hundred twenty-nine".

Divisors: 1 7 13 17 49 91 119 169 221 227 637 833 1183 1547 1589 2873 2951 3859 8281 10829 11123 20111 20657 27013 38363 50167 140777 144599 189091 268541 351169 633151 652171 1879787 2458183 4432057 4565197 8230963 10763567 31024399 31956379 57616741 75344969 107002519 139926371 143725277 403317187 527414783 749017633 979484597 1006076939 1819042823 1868428601 2443329709 5243123431 6856392179 7042538573 12733299761 13079000207 17103307963 24289571813 31763286217 89133098327 91553001449 119723155741 170027002691 222343003519 412922720821 1190189018837 1556401024633 2890459045747 20233213320229