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1130111244 = 223317679187
BaseRepresentation
bin100001101011100…
…0010000100001100
32220202111121012000
41003113002010030
54303302024434
6304050112300
740001533653
oct10327020414
92822447160
101130111244
1152aa11339
1227657b690
131501944a2
14aa13a19a
1569332b99
hex435c210c

1130111244 has 96 divisors (see below), whose sum is σ = 3148911360. Its totient is φ = 349214976.

The previous prime is 1130111243. The next prime is 1130111273. The reversal of 1130111244 is 4421110311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1130111243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118419 + ... + 127605.

It is an arithmetic number, because the mean of its divisors is an integer number (32801160).

Almost surely, 21130111244 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130111244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574455680).

1130111244 is an abundant number, since it is smaller than the sum of its proper divisors (2018800116).

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

1130111244 is a wasteful number, since it uses less digits than its factorization.

1130111244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9284 (or 9276 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1130111244 is about 33617.1272419283. The cubic root of 1130111244 is about 1041.6146160004.

Adding to 1130111244 its reverse (4421110311), we get a palindrome (5551221555).

The spelling of 1130111244 in words is "one billion, one hundred thirty million, one hundred eleven thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 67 68 102 108 134 153 201 204 268 306 402 459 603 612 804 918 1139 1206 1809 1836 2278 2412 3417 3618 4556 6834 7236 9187 10251 13668 18374 20502 27561 30753 36748 41004 55122 61506 82683 110244 123012 156179 165366 248049 312358 330732 468537 496098 615529 624716 937074 992196 1231058 1405611 1846587 1874148 2462116 2811222 3693174 4216833 5539761 5622444 7386348 8433666 10463993 11079522 16619283 16867332 20927986 22159044 31391979 33238566 41855972 62783958 66477132 94175937 125567916 188351874 282527811 376703748 565055622 1130111244