Search a number
-
+
1221110001100 = 2252116311759271
BaseRepresentation
bin10001110001001111110…
…100111110110111001100
311022201220020220021111001
4101301033310332313030
5130001313130013400
62332545321110044
7154136146515523
oct21611764766714
94281806807431
101221110001100
114309628413a0
121787ab328324
138b1c4c35512
144315ddd34ba
1521b6d115a6a
hex11c4fd3edcc

1221110001100 has 72 divisors (see below), whose sum is σ = 2895283190016. Its totient is φ = 443336040000.

The previous prime is 1221110001019. The next prime is 1221110001103. The reversal of 1221110001100 is 11000111221.

It is a super-2 number, since 2×12211100011002 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1221110001103) 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, 185536 + ... + 1573735.

It is an arithmetic number, because the mean of its divisors is an integer number (40212266528).

Almost surely, 21221110001100 is an apocalyptic number.

1221110001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221110001100 is an abundant number, since it is smaller than the sum of its proper divisors (1674173188916).

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

1221110001100 is a wasteful number, since it uses less digits than its factorization.

1221110001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759927 (or 1759920 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1221110001100 its reverse (11000111221), we get a palindrome (1232110112321).

It can be divided in two parts, 12 and 21110001100, that added together give a palindrome (21110001112).

The spelling of 1221110001100 in words is "one trillion, two hundred twenty-one billion, one hundred ten million, one thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 631 1100 1262 2524 3155 6310 6941 12620 13882 15775 27764 31550 34705 63100 69410 138820 173525 347050 694100 1759271 3518542 7037084 8796355 17592710 19351981 35185420 38703962 43981775 77407924 87963550 96759905 175927100 193519810 387039620 483799525 967599050 1110100001 1935198100 2220200002 4440400004 5550500005 11101000010 12211100011 22202000020 24422200022 27752500025 48844400044 55505000050 61055500055 111010000100 122111000110 244222000220 305277500275 610555000550 1221110001100