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2171052020 = 225108552601
BaseRepresentation
bin1000000101100111…
…1001111111110100
312121022012212111002
42001121321333310
513421242131040
6555233102432
7104541431504
oct20131717764
95538185432
102171052020
11a14558575
125070b7a18
13287a37487
141684a3a04
15ca8eea15
hex81679ff4

2171052020 has 12 divisors (see below), whose sum is σ = 4559209284. Its totient is φ = 868420800.

The previous prime is 2171052019. The next prime is 2171052029. The reversal of 2171052020 is 202501712.

It can be written as a sum of positive squares in 2 ways, for example, as 1577837284 + 593214736 = 39722^2 + 24356^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 108552601 = 2171052020 / (2 + 1 + 7 + 1 + 0 + 5 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2171051983 and 2171052001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2171052029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54276281 + ... + 54276320.

It is an arithmetic number, because the mean of its divisors is an integer number (379934107).

Almost surely, 22171052020 is an apocalyptic number.

2171052020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2171052020 is an abundant number, since it is smaller than the sum of its proper divisors (2388157264).

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

2171052020 is a wasteful number, since it uses less digits than its factorization.

2171052020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108552610 (or 108552608 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 20.

The square root of 2171052020 is about 46594.5492520316. The cubic root of 2171052020 is about 1294.8617732340.

Adding to 2171052020 its reverse (202501712), we get a palindrome (2373553732).

The spelling of 2171052020 in words is "two billion, one hundred seventy-one million, fifty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 108552601 217105202 434210404 542763005 1085526010 2171052020