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1100211220 = 225412714951
BaseRepresentation
bin100000110010011…
…1110010000010100
32211200020112001201
41001210332100110
54223123224340
6301101202244
736156432613
oct10144762024
92750215051
101100211220
11515049a79
12268560384
13146c25b74
14a619587a
15668c879a
hex4193e414

1100211220 has 48 divisors (see below), whose sum is σ = 2376009216. Its totient is φ = 427680000.

The previous prime is 1100211163. The next prime is 1100211241. The reversal of 1100211220 is 221120011.

It is a super-2 number, since 2×11002112202 = 2420929457227776800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1100211197 and 1100211206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 219745 + ... + 224695.

It is an arithmetic number, because the mean of its divisors is an integer number (49500192).

Almost surely, 21100211220 is an apocalyptic number.

1100211220 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 1100211220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188004608).

1100211220 is an abundant number, since it is smaller than the sum of its proper divisors (1275797996).

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

1100211220 is a wasteful number, since it uses less digits than its factorization.

1100211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5272 (or 5270 counting only the distinct ones).

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

The square root of 1100211220 is about 33169.4320120197. The cubic root of 1100211220 is about 1032.3461834114.

Adding to 1100211220 its reverse (221120011), we get a palindrome (1321331231).

It can be divided in two parts, 11002 and 11220, that added together give a palindrome (22222).

The spelling of 1100211220 in words is "one billion, one hundred million, two hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 271 410 542 820 1084 1355 2710 4951 5420 9902 11111 19804 22222 24755 44444 49510 55555 99020 111110 202991 222220 405982 811964 1014955 1341721 2029910 2683442 4059820 5366884 6708605 13417210 26834420 55010561 110021122 220042244 275052805 550105610 1100211220