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20002210100 = 22521948721617
BaseRepresentation
bin10010101000001110…
…011000000100110100
31220121222200112221022
4102220032120010310
5311431031210400
613104444440312
71305446660225
oct225016300464
956558615838
1020002210100
1185347a9554
123a62849098
131b69c9c8a2
14d7a6dd24c
157c1055b85
hex4a8398134

20002210100 has 72 divisors (see below), whose sum is σ = 45785194560. Its totient is φ = 7563870720.

The previous prime is 20002210093. The next prime is 20002210139. The reversal of 20002210100 is 101220002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914492 + ... + 936108.

It is an arithmetic number, because the mean of its divisors is an integer number (635905480).

Almost surely, 220002210100 is an apocalyptic number.

20002210100 is a gapful number since it is divisible by the number (20) 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 20002210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22892597280).

20002210100 is an abundant number, since it is smaller than the sum of its proper divisors (25782984460).

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

20002210100 is a wasteful number, since it uses less digits than its factorization.

20002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22137 (or 22130 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 20002210100 its reverse (101220002), we get a palindrome (20103430102).

The spelling of 20002210100 in words is "twenty billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 487 950 974 1900 1948 2435 4870 9253 9740 12175 18506 21617 24350 37012 43234 46265 48700 86468 92530 108085 185060 216170 231325 410723 432340 462650 540425 821446 925300 1080850 1642892 2053615 2161700 4107230 8214460 10268075 10527479 20536150 21054958 41072300 42109916 52637395 105274790 200022101 210549580 263186975 400044202 526373950 800088404 1000110505 1052747900 2000221010 4000442020 5000552525 10001105050 20002210100