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1221110200 = 235261101991
BaseRepresentation
bin100100011001000…
…1010100110111000
310011002201211021201
41020302022212320
510000101011300
6321100343544
742155160022
oct11062124670
93132654251
101221110200
11577315192
122a0b44bb4
13165ca601b
14b8267012
157230a66a
hex48c8a9b8

1221110200 has 96 divisors (see below), whose sum is σ = 2917134720. Its totient is φ = 475200000.

The previous prime is 1221110161. The next prime is 1221110237. The reversal of 1221110200 is 20111221.

It is a super-2 number, since 2×12211102002 = 2982220241088080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231705 + ... + 1232695.

It is an arithmetic number, because the mean of its divisors is an integer number (30386820).

Almost surely, 21221110200 is an apocalyptic number.

1221110200 is a gapful number since it is divisible by the number (10) 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 1221110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458567360).

1221110200 is an abundant number, since it is smaller than the sum of its proper divisors (1696024520).

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

1221110200 is a wasteful number, since it uses less digits than its factorization.

1221110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1221110200 is about 34944.3872460228. The cubic root of 1221110200 is about 1068.8537525668.

Adding to 1221110200 its reverse (20111221), we get a palindrome (1241221421).

The spelling of 1221110200 in words is "one billion, two hundred twenty-one million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 101 122 200 202 244 305 404 488 505 610 808 991 1010 1220 1525 1982 2020 2440 2525 3050 3964 4040 4955 5050 6100 6161 7928 9910 10100 12200 12322 19820 20200 24644 24775 30805 39640 49288 49550 60451 61610 99100 100091 120902 123220 154025 198200 200182 241804 246440 302255 308050 400364 483608 500455 604510 616100 800728 1000910 1209020 1232200 1511275 2001820 2418040 2502275 3022550 4003640 5004550 6045100 6105551 10009100 12090200 12211102 20018200 24422204 30527755 48844408 61055510 122111020 152638775 244222040 305277550 610555100 1221110200