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210100200212000 = 2553721071939797
BaseRepresentation
bin101111110001010111000011…
…110011010000011000100000
31000112220101100012020110212202
4233301113003303100120200
5210014240202223241000
62022502411032512332
762153144551510100
oct5761270363203040
91015811305213782
10210100200212000
1160a42aa379a72a
121b6929abb4b6a8
139030496556777
1439c4c9260d200
1519452c5ab8dd5
hexbf15c3cd0620

210100200212000 has 144 divisors (see below), whose sum is σ = 600496387080408. Its totient is φ = 72034354291200.

The previous prime is 210100200211991. The next prime is 210100200212009. The reversal of 210100200212000 is 212002001012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (210100200211991) and next prime (210100200212009).

It can be written as a sum of positive squares in 4 ways, for example, as 79961295483664 + 130138904728336 = 8942108^2 + 11407844^2 .

It is not an unprimeable number, because it can be changed into a prime (210100200212009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 535773899 + ... + 536165898.

Almost surely, 2210100200212000 is an apocalyptic number.

210100200212000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210100200212000 is an abundant number, since it is smaller than the sum of its proper divisors (390396186868408).

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

210100200212000 is a wasteful number, since it uses less digits than its factorization.

210100200212000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1071939836 (or 1071939811 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 210100200212000 its reverse (212002001012), we get a palindrome (210312202213012).

The spelling of 210100200212000 in words is "two hundred ten trillion, one hundred billion, two hundred million, two hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 196000 1071939797 2143879594 4287759188 5359698985 7503578579 8575518376 10719397970 15007157158 17151036752 21438795940 26798494925 30014314316 34302073504 37517892895 42877591880 52525050053 53596989850 60028628632 75035785790 85755183760 105050100106 107193979700 120057257264 133992474625 150071571580 171510367520 187589464475 210100200212 214387959400 240114514528 262625250265 267984949250 300143143160 375178928950 420200400424 428775918800 525250500530 535969898500 600286286320 750357857900 840400800848 857551837600 937947322375 1050501001060 1071939797000 1200572572640 1313126251325 1500715715800 1680801601696 1875894644750 2101002002120 2143879594000 2626252502650 3001431431600 3751789289500 4202004004240 4287759188000 5252505005300 6002862863200 6565631256625 7503578579000 8404008008480 10505010010600 13131262513250 15007157158000 21010020021200 26262525026500 30014314316000 42020040042400 52525050053000 105050100106000 210100200212000