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2032121120 = 25528344879
BaseRepresentation
bin111100100011111…
…1011010100100000
312020121210110010012
41321013323110200
513130210333440
6533351224052
7101233513241
oct17107732440
95217713105
102032121120
11953096747
12488678028
13265012943
14153c5acc8
15bd609e65
hex791fb520

2032121120 has 48 divisors (see below), whose sum is σ = 4817957760. Its totient is φ = 809958144.

The previous prime is 2032121099. The next prime is 2032121227. The reversal of 2032121120 is 211212302.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2032121095 and 2032121104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22841 + ... + 67719.

It is an arithmetic number, because the mean of its divisors is an integer number (100374120).

Almost surely, 22032121120 is an apocalyptic number.

2032121120 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 2032121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2408978880).

2032121120 is an abundant number, since it is smaller than the sum of its proper divisors (2785836640).

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

2032121120 is a wasteful number, since it uses less digits than its factorization.

2032121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45177 (or 45169 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2032121120 is about 45079.0541160748. The cubic root of 2032121120 is about 1266.6302716536.

Adding to 2032121120 its reverse (211212302), we get a palindrome (2243333422).

The spelling of 2032121120 in words is "two billion, thirty-two million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 283 566 1132 1415 2264 2830 4528 5660 9056 11320 22640 44879 45280 89758 179516 224395 359032 448790 718064 897580 1436128 1795160 3590320 7180640 12700757 25401514 50803028 63503785 101606056 127007570 203212112 254015140 406424224 508030280 1016060560 2032121120