Search a number
-
+
23044235130 = 2345735911321
BaseRepresentation
bin10101011101100010…
…110001111101111010
32012110222210102210000
4111131202301331322
5334143311011010
614330353533430
71444025523660
oct253542617572
965428712700
1023044235130
119855962a24
124571574276
1322332a95b7
141188724c30
158ed14b7c0
hex55d8b1f7a

23044235130 has 160 divisors (see below), whose sum is σ = 71018830080. Its totient is φ = 5252117760.

The previous prime is 23044235129. The next prime is 23044235147. The reversal of 23044235130 is 3153244032.

23044235130 is a `hidden beast` number, since 2 + 304 + 4 + 2 + 351 + 3 + 0 = 666.

It is a super-2 number, since 2×230442351302 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 23044235094 and 23044235103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2029870 + ... + 2041190.

It is an arithmetic number, because the mean of its divisors is an integer number (443867688).

Almost surely, 223044235130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23044235130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35509415040).

23044235130 is an abundant number, since it is smaller than the sum of its proper divisors (47974594950).

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

23044235130 is a wasteful number, since it uses less digits than its factorization.

23044235130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11706 (or 11697 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 23044235130 its reverse (3153244032), we get a palindrome (26197479162).

The spelling of 23044235130 in words is "twenty-three billion, forty-four million, two hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 81 90 105 126 135 162 189 210 270 315 359 378 405 567 630 718 810 945 1077 1134 1795 1890 2154 2513 2835 3231 3590 5026 5385 5670 6462 7539 9693 10770 11321 12565 15078 16155 19386 22617 22642 25130 29079 32310 33963 37695 45234 48465 56605 58158 67851 67926 75390 79247 96930 101889 113085 113210 135702 145395 158494 169815 203553 203778 226170 237741 290790 305667 339255 339630 396235 407106 475482 509445 611334 678510 713223 792470 917001 1017765 1018890 1188705 1426446 1528335 1834002 2035530 2139669 2377410 3056670 3566115 4064239 4279338 4585005 6419007 7132230 8128478 9170010 10698345 12192717 12838014 20321195 21396690 24385434 28449673 32095035 36578151 40642390 56899346 60963585 64190070 73156302 85349019 109734453 121927170 142248365 170698038 182890755 219468906 256047057 284496730 329203359 365781510 426745095 512094114 548672265 658406718 768141171 853490190 1097344530 1280235285 1536282342 1646016795 2304423513 2560470570 3292033590 3840705855 4608847026 7681411710 11522117565 23044235130