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2320101120 = 28354314051
BaseRepresentation
bin1000101001001001…
…1110111100000000
312222200200100102010
42022102132330000
514222421213440
61022115452520
7111331351131
oct21222367400
95880610363
102320101120
11a90700347
12548bb7140
132ac8925cc
141801c1c88
15d8a42580
hex8a49ef00

2320101120 has 144 divisors (see below), whose sum is σ = 7582684032. Its totient is φ = 604262400.

The previous prime is 2320101083. The next prime is 2320101131. The reversal of 2320101120 is 211010232.

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

It is a junction number, because it is equal to n+sod(n) for n = 2320101096 and 2320101105.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 158095 + ... + 172145.

It is an arithmetic number, because the mean of its divisors is an integer number (52657528).

Almost surely, 22320101120 is an apocalyptic number.

2320101120 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 2320101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3791342016).

2320101120 is an abundant number, since it is smaller than the sum of its proper divisors (5262582912).

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

2320101120 is a wasteful number, since it uses less digits than its factorization.

2320101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14118 (or 14104 counting only the distinct ones).

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

The square root of 2320101120 is about 48167.4279985967. The cubic root of 2320101120 is about 1323.8404227739.

Adding to 2320101120 its reverse (211010232), we get a palindrome (2531111352).

The spelling of 2320101120 in words is "two billion, three hundred twenty million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 192 215 240 256 258 320 344 384 430 480 516 640 645 688 768 860 960 1032 1280 1290 1376 1720 1920 2064 2580 2752 3440 3840 4128 5160 5504 6880 8256 10320 11008 13760 14051 16512 20640 27520 28102 33024 41280 42153 55040 56204 70255 82560 84306 112408 140510 165120 168612 210765 224816 281020 337224 421530 449632 562040 604193 674448 843060 899264 1124080 1208386 1348896 1686120 1798528 1812579 2248160 2416772 2697792 3020965 3372240 3597056 3625158 4496320 4833544 5395584 6041930 6744480 7250316 8992640 9062895 9667088 10791168 12083860 13488960 14500632 17985280 18125790 19334176 24167720 26977920 29001264 36251580 38668352 48335440 53955840 58002528 72503160 77336704 96670880 116005056 145006320 154673408 193341760 232010112 290012640 386683520 464020224 580025280 773367040 1160050560 2320101120