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201122011211100 = 223527293302496079
BaseRepresentation
bin101101101110101101011110…
…000010001110010101011100
3222101010002001202200012111220
4231232231132002032111130
5202330140334332223400
61551430102035413340
760235404633253260
oct5556553602162534
9871102052605456
10201122011211100
11590a14030a7aa1
121a682962754250
13882b955313005
14379450054a0a0
15183b9a21357a0
hexb6eb5e08e55c

201122011211100 has 144 divisors (see below), whose sum is σ = 687975983385600. Its totient is φ = 44385547288320.

The previous prime is 201122011211087. The next prime is 201122011211101. The reversal of 201122011211100 is 1112110221102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201122011211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201122011211101) 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, 1651187140 + ... + 1651308939.

Almost surely, 2201122011211100 is an apocalyptic number.

201122011211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122011211100 is an abundant number, since it is smaller than the sum of its proper divisors (486853972174500).

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

201122011211100 is a wasteful number, since it uses less digits than its factorization.

201122011211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3302496132 (or 3302496125 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201122011211100 its reverse (1112110221102), we get a palindrome (202234121432202).

The spelling of 201122011211100 in words is "two hundred one trillion, one hundred twenty-two billion, eleven million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 29 30 35 42 50 58 60 70 75 84 87 100 105 116 140 145 150 174 175 203 210 290 300 348 350 406 420 435 525 580 609 700 725 812 870 1015 1050 1218 1450 1740 2030 2100 2175 2436 2900 3045 4060 4350 5075 6090 8700 10150 12180 15225 20300 30450 60900 3302496079 6604992158 9907488237 13209984316 16512480395 19814976474 23117472553 33024960790 39629952948 46234945106 49537441185 66049921580 69352417659 82562401975 92469890212 95772386291 99074882370 115587362765 138704835318 165124803950 191544772582 198149764740 231174725530 247687205925 277409670636 287317158873 330249607900 346762088295 383089545164 462349451060 478861931455 495374411850 574634317746 577936813825 670406704037 693524176590 957723862910 990748823700 1149268635492 1155873627650 1340813408074 1387048353180 1436585794365 1733810441475 1915447725820 2011220112111 2311747255300 2394309657275 2681626816148 2873171588730 3352033520185 3467620882950 4022440224222 4788619314550 5746343177460 6704067040370 6935241765900 7182928971825 8044880448444 9577238629100 10056100560555 13408134080740 14365857943650 16760167600925 20112201121110 28731715887300 33520335201850 40224402242220 50280502802775 67040670403700 100561005605550 201122011211100