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2040132100 = 225220401321
BaseRepresentation
bin111100110011001…
…1111001000000100
312021011212110010011
41321212133020010
513134233211400
6534235040004
7101361556666
oct17146371004
95234773104
102040132100
11957668496
1248b2a0004
13266889076
14154d44536
15be18d8ba
hex7999f204

2040132100 has 18 divisors (see below), whose sum is σ = 4427086874. Its totient is φ = 816052800.

The previous prime is 2040132077. The next prime is 2040132109. The reversal of 2040132100 is 12310402.

It can be written as a sum of positive squares in 3 ways, for example, as 570636544 + 1469495556 = 23888^2 + 38334^2 .

It is a super-5 number, since 5×20401321005 (a number of 48 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (2040132109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10200561 + ... + 10200760.

Almost surely, 22040132100 is an apocalyptic number.

2040132100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2040132100 is an abundant number, since it is smaller than the sum of its proper divisors (2386954774).

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

2040132100 is a wasteful number, since it uses less digits than its factorization.

2040132100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20401335 (or 20401328 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2040132100 is about 45167.8215104514. The cubic root of 2040132100 is about 1268.2925159477.

Adding to 2040132100 its reverse (12310402), we get a palindrome (2052442502).

The spelling of 2040132100 in words is "two billion, forty million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20401321 40802642 81605284 102006605 204013210 408026420 510033025 1020066050 2040132100