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11201001211100 = 2252257467933269
BaseRepresentation
bin1010001011111110111110…
…1100101100010011011100
31110122210202000220011020102
42202333233230230103130
52432004122302223400
635453400253040232
72234150152244201
oct242775754542334
943583660804212
1011201001211100
1136293551a08a8
12130a9b4786078
13633332cb571c
142aa1ba5dbca8
1514656c99d9d5
hexa2fefb2c4dc

11201001211100 has 72 divisors (see below), whose sum is σ = 24453025374960. Its totient is φ = 4453405573120.

The previous prime is 11201001211093. The next prime is 11201001211133. The reversal of 11201001211100 is 111210010211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11535266 + ... + 12468534.

It is an arithmetic number, because the mean of its divisors is an integer number (339625352430).

Almost surely, 211201001211100 is an apocalyptic number.

11201001211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201001211100 is an abundant number, since it is smaller than the sum of its proper divisors (13252024163860).

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

11201001211100 is a wasteful number, since it uses less digits than its factorization.

11201001211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934007 (or 934000 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 11201001211100 its reverse (111210010211), we get a palindrome (11312211221311).

The spelling of 11201001211100 in words is "eleven trillion, two hundred one billion, one million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 257 467 514 934 1028 1285 1868 2335 2570 4670 5140 6425 9340 11675 12850 23350 25700 46700 120019 240038 480076 600095 933269 1200190 1866538 2400380 3000475 3733076 4666345 6000950 9332690 12001900 18665380 23331725 46663450 93326900 239850133 435836623 479700266 871673246 959400532 1199250665 1743346492 2179183115 2398501330 4358366230 4797002660 5996253325 8716732460 10895915575 11992506650 21791831150 23985013300 43583662300 112010012111 224020024222 448040048444 560050060555 1120100121110 2240200242220 2800250302775 5600500605550 11201001211100