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11221101221100 = 22352157238239941
BaseRepresentation
bin1010001101001001110111…
…0000001001010011101100
31110201201121211121110102020
42203102131300021103230
52432321303403033400
635510522554030140
72235461230434351
oct243223560112354
943651554543366
1011221101221100
11363692a118911
121312884118350
136351b7308574
142ab165cb8628
15146d473c22a0
hexa349dc094ec

11221101221100 has 72 divisors (see below), whose sum is σ = 32673178605648. Its totient is φ = 2973234451200.

The previous prime is 11221101221069. The next prime is 11221101221107. The reversal of 11221101221100 is 112210112211.

It is a happy number.

It is a super-2 number, since 2×112211012211002 (a number of 27 digits) contains 22 as substring.

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 11221101221100.

It is not an unprimeable number, because it can be changed into a prime (11221101221107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 119072871 + ... + 119167070.

Almost surely, 211221101221100 is an apocalyptic number.

11221101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221101221100 is an abundant number, since it is smaller than the sum of its proper divisors (21452077384548).

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

11221101221100 is a wasteful number, since it uses less digits than its factorization.

11221101221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238240115 (or 238240108 counting only the distinct ones).

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

Adding to 11221101221100 its reverse (112210112211), we get a palindrome (11333311333311).

The spelling of 11221101221100 in words is "eleven trillion, two hundred twenty-one billion, one hundred one million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 157 300 314 471 628 785 942 1570 1884 2355 3140 3925 4710 7850 9420 11775 15700 23550 47100 238239941 476479882 714719823 952959764 1191199705 1429439646 2382399410 2858879292 3573599115 4764798820 5955998525 7147198230 11911997050 14294396460 17867995575 23823994100 35735991150 37403670737 71471982300 74807341474 112211012211 149614682948 187018353685 224422024422 374036707370 448844048844 561055061055 748073414740 935091768425 1122110122110 1870183536850 2244220244220 2805275305275 3740367073700 5610550610550 11221101221100