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101322020 = 22522212281
BaseRepresentation
bin1100000101000…
…00110100100100
321001122200200102
412002200310210
5201414301040
614015403232
72340136322
oct602406444
9231580612
10101322020
1152214808
1229b23518
1317cb7477
14d656d12
158d66515
hex60a0d24

101322020 has 24 divisors (see below), whose sum is σ = 212965368. Its totient is φ = 40492800.

The previous prime is 101322019. The next prime is 101322031. The reversal of 101322020 is 20223101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 20286016 + 81036004 = 4504^2 + 9002^2 .

It is a junction number, because it is equal to n+sod(n) for n = 101321992 and 101322010.

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, 43280 + ... + 45560.

It is an arithmetic number, because the mean of its divisors is an integer number (8873557).

Almost surely, 2101322020 is an apocalyptic number.

101322020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101322020 is an abundant number, since it is smaller than the sum of its proper divisors (111643348).

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

101322020 is a wasteful number, since it uses less digits than its factorization.

101322020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4511 (or 4509 counting only the distinct ones).

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

The square root of 101322020 is about 10065.8839651568. The cubic root of 101322020 is about 466.1953597679.

Adding to 101322020 its reverse (20223101), we get a palindrome (121545121).

The spelling of 101322020 in words is "one hundred one million, three hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2221 2281 4442 4562 8884 9124 11105 11405 22210 22810 44420 45620 5066101 10132202 20264404 25330505 50661010 101322020