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23333122103130 = 2325726089868937
BaseRepresentation
bin1010100111000101010100…
…11101000101011101011010
310001121121212101201222120100
411103202222131011131122
511024242213224300010
6121343031024240230
74625522342313600
oct523425235053532
9101547771658510
1023333122103130
117486581152364
12274a147470076
1310033c4aa1118
145a948720d870
152a6e34a252c0
hex1538aa74575a

23333122103130 has 144 divisors (see below), whose sum is σ = 70582460817960. Its totient is φ = 5332403026944.

The previous prime is 23333122103129. The next prime is 23333122103143. The reversal of 23333122103130 is 3130122133332.

23333122103130 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 312 + 210 + 3 + 130 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8311118175801 + 15022003927329 = 2882901^2 + 3875823^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23333122103094 and 23333122103103.

It is an unprimeable number.

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, 26418022 + ... + 27286958.

Almost surely, 223333122103130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23333122103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35291230408980).

23333122103130 is an abundant number, since it is smaller than the sum of its proper divisors (47249338714830).

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

23333122103130 is a wasteful number, since it uses less digits than its factorization.

23333122103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 875053 (or 875043 counting only the distinct ones).

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

Adding to 23333122103130 its reverse (3130122133332), we get a palindrome (26463244236462).

The spelling of 23333122103130 in words is "twenty-three trillion, three hundred thirty-three billion, one hundred twenty-two million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 6089 12178 18267 30445 36534 42623 54801 60890 85246 91335 109602 127869 182670 213115 255738 274005 298361 383607 426230 548010 596722 639345 767214 868937 895083 1278690 1491805 1737874 1790166 1918035 2606811 2685249 2983610 3836070 4344685 4475415 5213622 5370498 6082559 7820433 8689370 8950830 12165118 13034055 13426245 15640866 18247677 26068110 26852490 30412795 36495354 39102165 42577913 54743031 60825590 78204330 85155826 91238385 109486062 127733739 182476770 212889565 255467478 273715155 383201217 425779130 547430310 638668695 766402434 1277337390 1916006085 3832012170 5290957393 10581914786 15872872179 26454786965 31745744358 37036701751 47618616537 52909573930 74073403502 79364360895 95237233074 111110105253 158728721790 185183508755 222220210506 238093082685 259256912257 333330315759 370367017510 476186165370 518513824514 555550526265 666660631518 777770736771 1111101052530 1296284561285 1555541473542 1666651578795 2333312210313 2592569122570 3333303157590 3888853683855 4666624420626 7777707367710 11666561051565 23333122103130