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1111111220 = 225292417949
BaseRepresentation
bin100001000111010…
…0011011000110100
32212102202022001102
41002032203120310
54233421024340
6302130545232
736351201212
oct10216433064
92772668042
101111111220
1152021433a
12270138218
1314927127b
14a77d1cb2
156782d215
hex423a3634

1111111220 has 48 divisors (see below), whose sum is σ = 2424114000. Its totient is φ = 427284480.

The previous prime is 1111111213. The next prime is 1111111231. The reversal of 1111111220 is 221111111.

It can be written as a sum of positive squares in 8 ways, for example, as 4351396 + 1106759824 = 2086^2 + 33268^2 .

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 15 ways as a sum of consecutive naturals, for example, 135806 + ... + 143754.

It is an arithmetic number, because the mean of its divisors is an integer number (50502375).

Almost surely, 21111111220 is an apocalyptic number.

1111111220 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 1111111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212057000).

1111111220 is an abundant number, since it is smaller than the sum of its proper divisors (1313002780).

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

1111111220 is a wasteful number, since it uses less digits than its factorization.

1111111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8228 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

The square root of 1111111220 is about 33333.3349666666. The cubic root of 1111111220 is about 1035.7442024856.

Adding to 1111111220 its reverse (221111111), we get a palindrome (1332222331).

The spelling of 1111111220 in words is "one billion, one hundred eleven million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 241 290 482 580 964 1205 2410 4820 6989 7949 13978 15898 27956 31796 34945 39745 69890 79490 139780 158980 230521 461042 922084 1152605 1915709 2305210 3831418 4610420 7662836 9578545 19157090 38314180 55555561 111111122 222222244 277777805 555555610 1111111220