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201002012012200 = 235272191079495231
BaseRepresentation
bin101101101100111101101101…
…100001100110111010101000
3222100200121022211000021220211
4231230331231201212322220
5202321204110033342300
61551255014412230504
760223626144015400
oct5554755541467250
9870617284007824
10201002012012200
115905552473a843
121a66365316b434
138820540349489
14378c799371800
1518387cc28c4ba
hexb6cf6d866ea8

201002012012200 has 144 divisors (see below), whose sum is σ = 572240422483200. Its totient is φ = 65287871510400.

The previous prime is 201002012012177. The next prime is 201002012012231. The reversal of 201002012012200 is 2210210200102.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 539561416 + ... + 539933815.

It is an arithmetic number, because the mean of its divisors is an integer number (3973891822800).

Almost surely, 2201002012012200 is an apocalyptic number.

201002012012200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201002012012200 is an abundant number, since it is smaller than the sum of its proper divisors (371238410471000).

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

201002012012200 is a wasteful number, since it uses less digits than its factorization.

201002012012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1079495280 (or 1079495264 counting only the distinct ones).

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

Adding to 201002012012200 its reverse (2210210200102), we get a palindrome (203212222212302).

The spelling of 201002012012200 in words is "two hundred one trillion, two billion, twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 19 20 25 28 35 38 40 49 50 56 70 76 95 98 100 133 140 152 175 190 196 200 245 266 280 350 380 392 475 490 532 665 700 760 931 950 980 1064 1225 1330 1400 1862 1900 1960 2450 2660 3325 3724 3800 4655 4900 5320 6650 7448 9310 9800 13300 18620 23275 26600 37240 46550 93100 186200 1079495231 2158990462 4317980924 5397476155 7556466617 8635961848 10794952310 15112933234 20510409389 21589904620 26987380775 30225866468 37782333085 41020818778 43179809240 52895266319 53974761550 60451732936 75564666170 82041637556 102552046945 105790532638 107949523100 143572865723 151129332340 164083275112 188911665425 205104093890 211581065276 215899046200 264476331595 287145731446 302258664680 377823330850 410208187780 423162130552 512760234725 528952663190 574291462892 717864328615 755646661700 820416375560 1005010060061 1025520469450 1057905326380 1148582925784 1322381657975 1435728657230 1511293323400 2010020120122 2051040938900 2115810652760 2644763315950 2871457314460 3589321643075 4020040240244 4102081877800 5025050300305 5289526631900 5742914628920 7178643286150 8040080480488 10050100600610 10579053263800 14357286572300 20100201201220 25125251501525 28714573144600 40200402402440 50250503003050 100501006006100 201002012012200