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3311120032 = 2511109211409
BaseRepresentation
bin1100010101011011…
…1010111010100000
322112202110022210021
43011112322322200
523240121320112
61304320443224
7145024025113
oct30526727240
98482408707
103311120032
11144a04a540
12784a79514
13409ca692c
14235a7257a
15145a4c907
hexc55baea0

3311120032 has 96 divisors (see below), whose sum is σ = 7228267200. Its totient is φ = 1480550400.

The previous prime is 3311120017. The next prime is 3311120041. The reversal of 3311120032 is 2300211133.

3311120032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 3311119988 and 3311120015.

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, 8095444 + ... + 8095852.

It is an arithmetic number, because the mean of its divisors is an integer number (75294450).

Almost surely, 23311120032 is an apocalyptic number.

3311120032 is a gapful number since it is divisible by the number (32) 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 3311120032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614133600).

3311120032 is an abundant number, since it is smaller than the sum of its proper divisors (3917147168).

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

3311120032 is a wasteful number, since it uses less digits than its factorization.

3311120032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 3311120032 is about 57542.3325213707. The cubic root of 3311120032 is about 1490.4759574311.

Adding to 3311120032 its reverse (2300211133), we get a palindrome (5611331165).

The spelling of 3311120032 in words is "three billion, three hundred eleven million, one hundred twenty thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 109 176 211 218 352 409 422 436 818 844 872 1199 1636 1688 1744 2321 2398 3272 3376 3488 4499 4642 4796 6544 6752 8998 9284 9592 13088 17996 18568 19184 22999 35992 37136 38368 44581 45998 71984 74272 86299 89162 91996 143968 172598 178324 183992 252989 345196 356648 367984 490391 505978 690392 713296 735968 949289 980782 1011956 1380784 1426592 1898578 1961564 2023912 2761568 3797156 3923128 4047824 7594312 7846256 8095648 9406591 15188624 15692512 18813182 30377248 37626364 75252728 103472501 150505456 206945002 301010912 413890004 827780008 1655560016 3311120032