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1132213120 = 2757432381
BaseRepresentation
bin100001101111100…
…0011001110000000
32220220110101102021
41003133003032000
54304321304440
6304203131224
740025436613
oct10337031600
92826411367
101132213120
11531117525
12277213b14
1315074c0bc
14aa52617a
15695ea84a
hex437c3380

1132213120 has 64 divisors (see below), whose sum is σ = 2711478240. Its totient is φ = 452085760.

The previous prime is 1132213081. The next prime is 1132213153. The reversal of 1132213120 is 213122311.

It is a tau number, because it is divible by the number of its divisors (64).

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 = 1132213094 and 1132213103.

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 7 ways as a sum of consecutive naturals, for example, 474330 + ... + 476710.

Almost surely, 21132213120 is an apocalyptic number.

1132213120 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 1132213120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355739120).

1132213120 is an abundant number, since it is smaller than the sum of its proper divisors (1579265120).

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

1132213120 is an equidigital number, since it uses as much as digits as its factorization.

1132213120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3143 (or 3131 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1132213120 is about 33648.3747007192. The cubic root of 1132213120 is about 1042.2599769079.

Adding to 1132213120 its reverse (213122311), we get a palindrome (1345335431).

It can be divided in two parts, 11322 and 13120, that added together give a palindrome (24442).

The spelling of 1132213120 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 743 1486 2381 2972 3715 4762 5944 7430 9524 11888 11905 14860 19048 23776 23810 29720 38096 47552 47620 59440 76192 95104 95240 118880 152384 190480 237760 304768 380960 475520 761920 1523840 1769083 3538166 7076332 8845415 14152664 17690830 28305328 35381660 56610656 70763320 113221312 141526640 226442624 283053280 566106560 1132213120