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200130210020 = 225136723349307
BaseRepresentation
bin1011101001100010110…
…0001010100011100100
3201010120102022001001202
42322120230022203210
511234331313210040
6231534420542032
720313261501026
oct2723054124344
9633512261052
10200130210020
1177969316994
1232953251918
1315b452ac420
1499874d8016
155314ae5015
hex2e98b0a8e4

200130210020 has 96 divisors (see below), whose sum is σ = 461338270848. Its totient is φ = 72477453312.

The previous prime is 200130210019. The next prime is 200130210029. The reversal of 200130210020 is 20012031002.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 200130209983 and 200130210010.

It is not an unprimeable number, because it can be changed into a prime (200130210029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4034207 + ... + 4083513.

It is an arithmetic number, because the mean of its divisors is an integer number (4805606988).

Almost surely, 2200130210020 is an apocalyptic number.

200130210020 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 200130210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230669135424).

200130210020 is an abundant number, since it is smaller than the sum of its proper divisors (261208060828).

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

200130210020 is a wasteful number, since it uses less digits than its factorization.

200130210020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49629 (or 49627 counting only the distinct ones).

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

Adding to 200130210020 its reverse (20012031002), we get a palindrome (220142241022).

The spelling of 200130210020 in words is "two hundred billion, one hundred thirty million, two hundred ten thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 233 260 268 335 466 670 871 932 1165 1340 1742 2330 3029 3484 4355 4660 6058 8710 12116 15145 15611 17420 30290 31222 49307 60580 62444 78055 98614 156110 197228 202943 246535 312220 405886 493070 640991 811772 986140 1014715 1281982 2029430 2563964 3204955 3303569 4058860 6409910 6607138 11488531 12819820 13214276 16517845 22977062 33035690 42946397 45954124 57442655 66071380 85892794 114885310 149350903 171785588 214731985 229770620 298701806 429463970 597403612 746754515 769731577 858927940 1493509030 1539463154 2987018060 3078926308 3848657885 7697315770 10006510501 15394631540 20013021002 40026042004 50032552505 100065105010 200130210020