Search a number
-
+
1111000332 = 2231337712711
BaseRepresentation
bin100001000111000…
…1000010100001100
32212102112122221110
41002032020110030
54233404002312
6302124332020
736350230011
oct10216102414
92772478843
101111000332
11520148aa2
122700a4010
13149232960
14a77a3708
156780a43c
hex4238850c

1111000332 has 96 divisors (see below), whose sum is σ = 2908652544. Its totient is φ = 327801600.

The previous prime is 1111000327. The next prime is 1111000379. The reversal of 1111000332 is 2330001111.

It is a super-2 number, since 2×11110003322 = 2468643475408220448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408457 + ... + 411167.

It is an arithmetic number, because the mean of its divisors is an integer number (30298464).

Almost surely, 21111000332 is an apocalyptic number.

1111000332 is a gapful number since it is divisible by the number (12) 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 1111000332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454326272).

1111000332 is an abundant number, since it is smaller than the sum of its proper divisors (1797652212).

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

1111000332 is a wasteful number, since it uses less digits than its factorization.

1111000332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2837 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 1111000332 is about 33331.6716052466. The cubic root of 1111000332 is about 1035.7097458618.

Adding to 1111000332 its reverse (2330001111), we get a palindrome (3441001443).

The spelling of 1111000332 in words is "one billion, one hundred eleven million, three hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 13 26 37 39 52 71 74 78 111 142 148 156 213 222 284 426 444 481 852 923 962 1443 1846 1924 2627 2711 2769 2886 3692 5254 5422 5538 5772 7881 8133 10508 10844 11076 15762 16266 31524 32532 34151 35243 68302 70486 100307 102453 105729 136604 140972 192481 200614 204906 211458 300921 384962 401228 409812 422916 577443 601842 769924 1154886 1203684 1303991 2309772 2502253 2607982 3911973 5004506 5215964 7121797 7506759 7823946 10009012 14243594 15013518 15647892 21365391 28487188 30027036 42730782 85461564 92583361 185166722 277750083 370333444 555500166 1111000332