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2320112100 = 2235241533559
BaseRepresentation
bin1000101001001010…
…0001100111100100
312222200200220110210
42022102201213210
514222422041400
61022120015420
7111331425135
oct21222414744
95880626423
102320112100
11a90708619
12549001570
132ac8975c7
141801c5c8c
15d8a45950
hex8a4a19e4

2320112100 has 144 divisors (see below), whose sum is σ = 7008301440. Its totient is φ = 592051200.

The previous prime is 2320112099. The next prime is 2320112159. The reversal of 2320112100 is 12110232.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650121 + ... + 653679.

It is an arithmetic number, because the mean of its divisors is an integer number (48668760).

Almost surely, 22320112100 is an apocalyptic number.

2320112100 is a gapful number since it is divisible by the number (20) 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 2320112100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504150720).

2320112100 is an abundant number, since it is smaller than the sum of its proper divisors (4688189340).

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

2320112100 is a wasteful number, since it uses less digits than its factorization.

2320112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3670 (or 3663 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2320112100 is about 48167.5419758991. The cubic root of 2320112100 is about 1323.8425111520.

Adding to 2320112100 its reverse (12110232), we get a palindrome (2332222332).

The spelling of 2320112100 in words is "two billion, three hundred twenty million, one hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 53 60 75 82 100 106 123 150 159 164 205 212 246 265 300 318 410 492 530 615 636 795 820 1025 1060 1230 1325 1590 2050 2173 2460 2650 3075 3180 3559 3975 4100 4346 5300 6150 6519 7118 7950 8692 10677 10865 12300 13038 14236 15900 17795 21354 21730 26076 32595 35590 42708 43460 53385 54325 65190 71180 88975 106770 108650 130380 145919 162975 177950 188627 213540 217300 266925 291838 325950 355900 377254 437757 533850 565881 583676 651900 729595 754508 875514 943135 1067700 1131762 1459190 1751028 1886270 2188785 2263524 2829405 2918380 3647975 3772540 4377570 4715675 5658810 7295950 7733707 8755140 9431350 10943925 11317620 14147025 14591900 15467414 18862700 21887850 23201121 28294050 30934828 38668535 43775700 46402242 56588100 77337070 92804484 116005605 154674140 193342675 232011210 386685350 464022420 580028025 773370700 1160056050 2320112100