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1101331332 = 2232176129501
BaseRepresentation
bin100000110100100…
…1111101110000100
32211202100102120100
41001221033232010
54223420100312
6301141204100
736202106343
oct10151175604
92752312510
101101331332
11515744592
12268a00630
1314722895a
14a63a7b5a
1566a4a5dc
hex41a4fb84

1101331332 has 72 divisors (see below), whose sum is σ = 2996105112. Its totient is φ = 339840000.

The previous prime is 1101331277. The next prime is 1101331373. The reversal of 1101331332 is 2331331011.

It is a happy number.

1101331332 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 331 + 332 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 37527876 + 1063803456 = 6126^2 + 32616^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22582 + ... + 52082.

It is an arithmetic number, because the mean of its divisors is an integer number (41612571).

Almost surely, 21101331332 is an apocalyptic number.

1101331332 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 1101331332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498052556).

1101331332 is an abundant number, since it is smaller than the sum of its proper divisors (1894773780).

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

1101331332 is a wasteful number, since it uses less digits than its factorization.

1101331332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29589 (or 29584 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1101331332 is about 33186.3124194298. The cubic root of 1101331332 is about 1032.6964043900.

Adding to 1101331332 its reverse (2331331011), we get a palindrome (3432662343).

The spelling of 1101331332 in words is "one billion, one hundred one million, three hundred thirty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 68 102 122 153 183 204 244 306 366 549 612 732 1037 1098 2074 2196 3111 4148 6222 9333 12444 18666 29501 37332 59002 88503 118004 177006 265509 354012 501517 531018 1003034 1062036 1504551 1799561 2006068 3009102 3599122 4513653 5398683 6018204 7198244 9027306 10797366 16196049 18054612 21594732 30592537 32392098 61185074 64784196 91777611 122370148 183555222 275332833 367110444 550665666 1101331332