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21110222001100 = 225259267339007
BaseRepresentation
bin1001100110011000110110…
…10010001001001111001100
32202202010011200000201202211
410303030123102021033030
510231332213313013400
6112521522504400204
74306106660230621
oct463143322111714
982663150021684
1021110222001100
1167a9881a82821
12244b376776064
13ba18baa6796b
1452da51156348
152691d2e47dba
hex13331b4893cc

21110222001100 has 108 divisors (see below), whose sum is σ = 46610863665184. Its totient is φ = 8298814296960.

The previous prime is 21110222001079. The next prime is 21110222001139. The reversal of 21110222001100 is 110022201112.

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, 2343752797 + ... + 2343761803.

Almost surely, 221110222001100 is an apocalyptic number.

21110222001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21110222001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23305431832592).

21110222001100 is an abundant number, since it is smaller than the sum of its proper divisors (25500641664084).

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

21110222001100 is a wasteful number, since it uses less digits than its factorization.

21110222001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15872 (or 15806 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21110222001100 its reverse (110022201112), we get a palindrome (21220244202212).

The spelling of 21110222001100 in words is "twenty-one trillion, one hundred ten billion, two hundred twenty-two million, one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 3481 5900 6733 6962 9007 13466 13924 17405 18014 26932 33665 34810 36028 45035 67330 69620 87025 90070 134660 168325 174050 180140 225175 336650 348100 397247 450350 531413 673300 794494 900700 1062826 1588988 1986235 2125652 2657065 3972470 5314130 7944940 9931175 10628260 13285325 19862350 23437573 26570650 31353367 39724700 46875146 53141300 60644131 62706734 93750292 117187865 121288262 125413468 156766835 234375730 242576524 303220655 313533670 468751460 585939325 606441310 627067340 783834175 1171878650 1212882620 1516103275 1567668350 2343757300 3032206550 3135336700 3578003729 6064413100 7156007458 14312014916 17890018645 35780037290 71560074580 89450093225 178900186450 211102220011 357800372900 422204440022 844408880044 1055511100055 2111022200110 4222044400220 5277555500275 10555111000550 21110222001100