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23011211322 = 233111713671667
BaseRepresentation
bin10101011011100100…
…110011100000111010
32012101200122122122000
4111123210303200322
5334111332230242
614323214041430
71443145032441
oct253344634072
965350578560
1023011211322
119839257720
1245624a9276
1322294b6198
1411841a9d58
158ea2c6a4c
hex55b93383a

23011211322 has 128 divisors (see below), whose sum is σ = 59144878080. Its totient is φ = 6554177280.

The previous prime is 23011211303. The next prime is 23011211411. The reversal of 23011211322 is 22311211032.

23011211322 is a `hidden beast` number, since 230 + 112 + 1 + 1 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23011211295 and 23011211304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13803133 + ... + 13804799.

It is an arithmetic number, because the mean of its divisors is an integer number (462069360).

Almost surely, 223011211322 is an apocalyptic number.

23011211322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29572439040).

23011211322 is an abundant number, since it is smaller than the sum of its proper divisors (36133666758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23011211322 is a wasteful number, since it uses less digits than its factorization.

23011211322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3067 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 23011211322 its reverse (22311211032), we get a palindrome (45322422354).

The spelling of 23011211322 in words is "twenty-three billion, eleven million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 54 66 99 102 153 187 198 297 306 374 459 561 594 918 1122 1367 1667 1683 2734 3334 3366 4101 5001 5049 8202 10002 10098 12303 15003 15037 18337 23239 24606 28339 30006 30074 36674 36909 45009 45111 46478 55011 56678 69717 73818 85017 90018 90222 110022 135333 139434 165033 170034 209151 255051 255629 270666 311729 330066 405999 418302 495099 510102 511258 623458 627453 765153 766887 811998 935187 990198 1254906 1530306 1533774 1870374 2278789 2300661 2805561 4557578 4601322 5611122 6836367 6901983 8416683 13672734 13803966 16833366 20509101 25066679 38739413 41018202 50133358 61527303 75200037 77478826 116218239 123054606 150400074 225600111 232436478 348654717 426133543 451200222 676800333 697309434 852267086 1045964151 1278400629 1353600666 2091928302 2556801258 3835201887 7670403774 11505605661 23011211322