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2032120100 = 225220321201
BaseRepresentation
bin111100100011111…
…1011000100100100
312020121210101201102
41321013323010210
513130210320400
6533351215232
7101233510253
oct17107730444
95217711642
102032120100
119530959aa
12488677518
1326501233a
14153c5a79a
15bd6099d5
hex791fb124

2032120100 has 18 divisors (see below), whose sum is σ = 4409700834. Its totient is φ = 812848000.

The previous prime is 2032120093. The next prime is 2032120157. The reversal of 2032120100 is 10212302.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 145781476 + 1886338624 = 12074^2 + 43432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10160501 + ... + 10160700.

Almost surely, 22032120100 is an apocalyptic number.

2032120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2032120100 is an abundant number, since it is smaller than the sum of its proper divisors (2377580734).

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

2032120100 is a wasteful number, since it uses less digits than its factorization.

2032120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20321215 (or 20321208 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2032120100 is about 45079.0428026151. The cubic root of 2032120100 is about 1266.6300597300.

Adding to 2032120100 its reverse (10212302), we get a palindrome (2042332402).

The spelling of 2032120100 in words is "two billion, thirty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20321201 40642402 81284804 101606005 203212010 406424020 508030025 1016060050 2032120100