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20213130 = 2357101953
BaseRepresentation
bin100110100011…
…0110110001010
31102000221012110
41031012312022
520133310010
62001123150
7333544260
oct115066612
942027173
1020213130
1110456473
1269294b6
134259442
142982430
151b94120
hex1346d8a

20213130 has 64 divisors (see below), whose sum is σ = 56049408. Its totient is φ = 4569600.

The previous prime is 20213107. The next prime is 20213183. The reversal of 20213130 is 3131202.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20734 + ... + 21686.

It is an arithmetic number, because the mean of its divisors is an integer number (875772).

Almost surely, 220213130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20213130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024704).

20213130 is an abundant number, since it is smaller than the sum of its proper divisors (35836278).

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

20213130 is a wasteful number, since it uses less digits than its factorization.

20213130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 20213130 is about 4495.9014668918. The cubic root of 20213130 is about 272.4025631496.

Adding to 20213130 its reverse (3131202), we get a palindrome (23344332).

It can be divided in two parts, 2021 and 3130, that added together give a triangular number (5151 = T101).

The spelling of 20213130 in words is "twenty million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 101 105 202 210 303 505 606 707 953 1010 1414 1515 1906 2121 2859 3030 3535 4242 4765 5718 6671 7070 9530 10605 13342 14295 20013 21210 28590 33355 40026 66710 96253 100065 192506 200130 288759 481265 577518 673771 962530 1347542 1443795 2021313 2887590 3368855 4042626 6737710 10106565 20213130