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200211001101020 = 225721319827113117
BaseRepresentation
bin101101100001011101000001…
…100110011100101011011100
3222020212222120220102120121202
4231201131001212130223130
5202220224112240213040
61545451355243215032
760112524151141400
oct5541350146345334
9866788526376552
10200211001101020
11588800106a4578
121a556297217478
138793a7c7cc890
14376239abc1100
151822e3321e015
hexb6174199cadc

200211001101020 has 144 divisors (see below), whose sum is σ = 554430465257760. Its totient is φ = 60028561506816.

The previous prime is 200211001101011. The next prime is 200211001101029. The reversal of 200211001101020 is 20101100112002.

200211001101020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200211001101011) and next prime (200211001101029).

It is a junction number, because it is equal to n+sod(n) for n = 200211001100992 and 200211001101010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200211001101029) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413314499 + ... + 413798618.

It is an arithmetic number, because the mean of its divisors is an integer number (3850211564290).

Almost surely, 2200211001101020 is an apocalyptic number.

200211001101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200211001101020 is an abundant number, since it is smaller than the sum of its proper divisors (354219464156740).

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

200211001101020 is a wasteful number, since it uses less digits than its factorization.

200211001101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827113172 (or 827113163 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 200211001101020 its reverse (20101100112002), we get a palindrome (220312101213022).

The spelling of 200211001101020 in words is "two hundred trillion, two hundred eleven billion, one million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 19 20 26 28 35 38 49 52 65 70 76 91 95 98 130 133 140 182 190 196 245 247 260 266 364 380 455 490 494 532 637 665 910 931 980 988 1235 1274 1330 1729 1820 1862 2470 2548 2660 3185 3458 3724 4655 4940 6370 6916 8645 9310 12103 12740 17290 18620 24206 34580 48412 60515 121030 242060 827113117 1654226234 3308452468 4135565585 5789791819 8271131170 10752470521 11579583638 15715149223 16542262340 21504941042 23159167276 28948959095 31430298446 40528542733 43009882084 53762352605 57897918190 62860596892 75267293647 78575746115 81057085466 107524705210 110006044561 115795836380 150534587294 157151492230 162114170932 202642713665 204296939899 215049410420 220012089122 301069174588 314302984460 376336468235 405285427330 408593879798 440024178244 526871055529 550030222805 752672936470 770042311927 810570854660 817187759596 1021484699495 1053742111058 1100060445610 1430078579293 1505345872940 1540084623854 2042969398990 2107484222116 2200120891220 2634355277645 2860157158586 3080169247708 3850211559635 4085938797980 5268710555290 5720314317172 7150392896465 7700423119270 10010550055051 10537421110580 14300785792930 15400846238540 20021100110102 28601571585860 40042200220204 50052750275255 100105500550510 200211001101020