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42002020200 = 23352710000481
BaseRepresentation
bin100111000111100000…
…111111011101101000
311000102012012200220210
4213013200333131220
51142010004121300
631143453021120
73014564165250
oct470740773550
9130365180823
1042002020200
11168a4055498
1281824847a0
133c64a862ba
142066430960
15115c648050
hex9c783f768

42002020200 has 96 divisors (see below), whose sum is σ = 148807172160. Its totient is φ = 9600460800.

The previous prime is 42002020199. The next prime is 42002020213. The reversal of 42002020200 is 202020024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 4996041 + ... + 5004440.

It is an arithmetic number, because the mean of its divisors is an integer number (1550074710).

Almost surely, 242002020200 is an apocalyptic number.

42002020200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42002020200 is an abundant number, since it is smaller than the sum of its proper divisors (106805151960).

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

42002020200 is a wasteful number, since it uses less digits than its factorization.

42002020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10000507 (or 10000498 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 42002020200 its reverse (202020024), we get a palindrome (42204040224).

The spelling of 42002020200 in words is "forty-two billion, two million, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 4200 10000481 20000962 30001443 40001924 50002405 60002886 70003367 80003848 100004810 120005772 140006734 150007215 200009620 210010101 240011544 250012025 280013468 300014430 350016835 400019240 420020202 500024050 560026936 600028860 700033670 750036075 840040404 1000048100 1050050505 1200057720 1400067340 1500072150 1680080808 1750084175 2000096200 2100101010 2800134680 3000144300 3500168350 4200202020 5250252525 6000288600 7000336700 8400404040 10500505050 14000673400 21001010100 42002020200