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1100213020 = 225292149439
BaseRepresentation
bin100000110010011…
…1110101100011100
32211200020121112101
41001210332230130
54223123304040
6301101214444
736156441064
oct10144765434
92750217471
101100213020
11515050365
12268561424
13146c2692a
14a61963a4
15668c909a
hex4193eb1c

1100213020 has 72 divisors (see below), whose sum is σ = 2414412000. Its totient is φ = 421096704.

The previous prime is 1100213017. The next prime is 1100213129. The reversal of 1100213020 is 203120011.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1100212988 and 1100213006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2505961 + ... + 2506399.

It is an arithmetic number, because the mean of its divisors is an integer number (33533500).

Almost surely, 21100213020 is an apocalyptic number.

1100213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100213020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207206000).

1100213020 is an abundant number, since it is smaller than the sum of its proper divisors (1314198980).

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

1100213020 is a wasteful number, since it uses less digits than its factorization.

1100213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100213020 is about 33169.4591454247. The cubic root of 1100213020 is about 1032.3467464009.

Adding to 1100213020 its reverse (203120011), we get a palindrome (1303333031).

The spelling of 1100213020 in words is "one billion, one hundred million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 149 290 298 439 580 596 745 841 878 1490 1682 1756 2195 2980 3364 4205 4321 4390 8410 8642 8780 12731 16820 17284 21605 25462 43210 50924 63655 65411 86420 125309 127310 130822 250618 254620 261644 327055 369199 501236 626545 654110 738398 1253090 1308220 1476796 1845995 1896919 2506180 3691990 3793838 7383980 7587676 9484595 18969190 37938380 55010651 110021302 220042604 275053255 550106510 1100213020