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113232122020 = 22517232718867
BaseRepresentation
bin110100101110100101…
…0010001000010100100
3101211021100012210021001
41221131022101002210
53323344410401040
6124003525203044
711115666104503
oct1513512210244
9354240183231
10113232122020
1144026643236
1219b41260484
13a8a7004544
1456a257083a
152e2ac3d59a
hex1a5d2910a4

113232122020 has 144 divisors (see below), whose sum is σ = 266934745728. Its totient is φ = 40196316160.

The previous prime is 113232121987. The next prime is 113232122021. The reversal of 113232122020 is 20221232311.

It is not an unprimeable number, because it can be changed into a prime (113232122021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12765627 + ... + 12774493.

It is an arithmetic number, because the mean of its divisors is an integer number (1853713512).

Almost surely, 2113232122020 is an apocalyptic number.

113232122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113232122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133467372864).

113232122020 is an abundant number, since it is smaller than the sum of its proper divisors (153702623708).

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

113232122020 is a wasteful number, since it uses less digits than its factorization.

113232122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9010 (or 8985 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 113232122020 its reverse (20221232311), we get a palindrome (133453354331).

The spelling of 113232122020 in words is "one hundred thirteen billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 71 85 92 115 142 170 230 284 340 355 391 460 529 710 782 1058 1207 1420 1564 1633 1955 2116 2414 2645 3266 3910 4828 5290 6035 6532 7820 8165 8867 8993 10580 12070 16330 17734 17986 24140 27761 32660 35468 35972 37559 44335 44965 55522 75118 88670 89930 111044 138805 150236 150739 177340 179860 187795 203941 277610 301478 375590 407882 555220 602956 629557 638503 751180 753695 815764 1019705 1259114 1277006 1507390 2039410 2518228 2554012 3014780 3147785 3192515 3466997 4078820 4690643 6295570 6385030 6933994 9381286 10702469 12591140 12770060 13867988 14479811 17334985 18762572 21404938 23453215 28959622 34669970 42809876 46906430 53512345 57919244 69339940 72399055 79740931 93812860 107024690 144798110 159481862 214049380 246156787 289596220 318963724 333035653 398704655 492313574 666071306 797409310 984627148 1230783935 1332142612 1594818620 1665178265 2461567870 3330356530 4923135740 5661606101 6660713060 11323212202 22646424404 28308030505 56616061010 113232122020