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11201200220100 = 223521110332954399
BaseRepresentation
bin1010001011111111101110…
…0011110110011111000100
31110122211020220100212021010
42202333323203312133010
52432010024224020400
635453432122322220
72234155116633312
oct242777343663704
943584226325233
1011201200220100
113629447567250
12130aa4b359370
136333652b3927
142aa1d8c030b2
151465801ae450
hexa2ffb8f67c4

11201200220100 has 144 divisors (see below), whose sum is σ = 35698315161600. Its totient is φ = 2689078876800.

The previous prime is 11201200220099. The next prime is 11201200220123. The reversal of 11201200220100 is 102200210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16137300 + ... + 16817099.

It is an arithmetic number, because the mean of its divisors is an integer number (247904966400).

Almost surely, 211201200220100 is an apocalyptic number.

11201200220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11201200220100 is an abundant number, since it is smaller than the sum of its proper divisors (24497114941500).

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

11201200220100 is a wasteful number, since it uses less digits than its factorization.

11201200220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32954530 (or 32954523 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 11201200220100 its reverse (102200210211), we get a palindrome (11303400430311).

The spelling of 11201200220100 in words is "eleven trillion, two hundred one billion, two hundred million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 103 110 132 150 165 206 220 275 300 309 330 412 515 550 618 660 825 1030 1100 1133 1236 1545 1650 2060 2266 2575 3090 3300 3399 4532 5150 5665 6180 6798 7725 10300 11330 13596 15450 16995 22660 28325 30900 33990 56650 67980 84975 113300 169950 339900 32954399 65908798 98863197 131817596 164771995 197726394 329543990 362498389 395452788 494315985 659087980 724996778 823859975 988631970 1087495167 1449993556 1647719950 1812491945 1977263940 2174990334 2471579925 3295439900 3394303097 3624983890 4349980668 4943159850 5437475835 6788606194 7249967780 9062459725 9886319700 10182909291 10874951670 13577212388 16971515485 18124919450 20365818582 21749903340 27187379175 33943030970 36249838900 37337334067 40731637164 50914546455 54374758350 67886061940 74674668134 84857577425 101829092910 108749516700 112012002201 149349336268 169715154850 186686670335 203658185820 224024004402 254572732275 339430309700 373373340670 448048008804 509145464550 560060011005 746746681340 933433351675 1018290929100 1120120022010 1866866703350 2240240044020 2800300055025 3733733406700 5600600110050 11201200220100