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2032120000 = 2654101503
BaseRepresentation
bin111100100011111…
…1011000011000000
312020121210101120201
41321013323003000
513130210320000
6533351214544
7101233510051
oct17107730300
95217711521
102032120000
11953095919
12488677454
13265012291
14153c5a728
15bd60996a
hex791fb0c0

2032120000 has 140 divisors (see below), whose sum is σ = 5099005296. Its totient is φ = 803200000.

The previous prime is 2032119937. The next prime is 2032120009. The reversal of 2032120000 is 212302.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2032120009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4039749 + ... + 4040251.

Almost surely, 22032120000 is an apocalyptic number.

2032120000 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 2032120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2549502648).

2032120000 is an abundant number, since it is smaller than the sum of its proper divisors (3066885296).

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

2032120000 is an equidigital number, since it uses as much as digits as its factorization.

2032120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 2032120000 is about 45079.0416934522. The cubic root of 2032120000 is about 1266.6300389532.

Adding to 2032120000 its reverse (212302), we get a palindrome (2032332302).

The spelling of 2032120000 in words is "two billion, thirty-two million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 101 125 160 200 202 250 320 400 404 500 503 505 625 800 808 1000 1006 1010 1250 1600 1616 2000 2012 2020 2500 2515 2525 3232 4000 4024 4040 5000 5030 5050 6464 8000 8048 8080 10000 10060 10100 12575 12625 16096 16160 20000 20120 20200 25150 25250 32192 32320 40000 40240 40400 50300 50500 50803 62875 63125 80480 80800 100600 101000 101606 125750 126250 160960 161600 201200 202000 203212 251500 252500 254015 314375 402400 404000 406424 503000 505000 508030 628750 804800 808000 812848 1006000 1010000 1016060 1257500 1270075 1625696 2012000 2020000 2032120 2515000 2540150 3251392 4024000 4040000 4064240 5030000 5080300 6350375 8128480 10060000 10160600 12700750 16256960 20120000 20321200 25401500 31751875 40642400 50803000 63503750 81284800 101606000 127007500 203212000 254015000 406424000 508030000 1016060000 2032120000