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200211020120200 = 235217138869424037
BaseRepresentation
bin101101100001011101000010…
…101111000000000010001000
3222020212222122020012212000211
4231201131002233000002020
5202220224132122321300
61545451401203010504
760112524501614035
oct5541350257000210
9866788566185024
10200211020120200
1158880020404a01
121a5562a1669a34
138793a8372b72b
14376239d53238c
151822e34c294ba
hexb61742bc0088

200211020120200 has 96 divisors (see below), whose sum is σ = 492877134592200. Its totient is φ = 75372839997440.

The previous prime is 200211020120197. The next prime is 200211020120201. The reversal of 200211020120200 is 2021020112002.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 3592685211844 + 196618334908356 = 1895438^2 + 14022066^2 .

It is a super-2 number, since 2×2002110201202002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (200211020120201) 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, 471942582 + ... + 472366618.

Almost surely, 2200211020120200 is an apocalyptic number.

200211020120200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211020120200 is an abundant number, since it is smaller than the sum of its proper divisors (292666114472000).

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

200211020120200 is a wasteful number, since it uses less digits than its factorization.

200211020120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562939 (or 562930 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 200211020120200 its reverse (2021020112002), we get a palindrome (202232040232202).

The spelling of 200211020120200 in words is "two hundred trillion, two hundred eleven billion, twenty million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1700 3400 138869 277738 424037 555476 694345 848074 1110952 1388690 1696148 2120185 2360773 2777380 3392296 3471725 4240370 4721546 5554760 6943450 7208629 8480740 9443092 10600925 11803865 13886900 14417258 16961480 18886184 21201850 23607730 27773800 28834516 36043145 42403700 47215460 57669032 59019325 72086290 84807400 94430920 118038650 144172580 180215725 236077300 288345160 360431450 472154600 720862900 1441725800 58885594153 117771188306 235542376612 294427970765 471084753224 588855941530 1001055100601 1177711883060 1472139853825 2002110201202 2355423766120 2944279707650 4004220402404 5005275503005 5888559415300 8008440804808 10010551006010 11777118830600 20021102012020 25026377515025 40042204024040 50052755030050 100105510060100 200211020120200