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1132213100 = 225297151773
BaseRepresentation
bin100001101111100…
…0011001101101100
32220220110101101112
41003133003031230
54304321304400
6304203131152
740025436554
oct10337031554
92826411345
101132213100
11531117507
12277213ab8
1315074c0a5
14aa526164
15695ea835
hex437c336c

1132213100 has 72 divisors (see below), whose sum is σ = 2501902368. Its totient is φ = 444672000.

The previous prime is 1132213081. The next prime is 1132213153. The reversal of 1132213100 is 13122311.

It is a super-2 number, since 2×11322131002 = 2563813007623220000, which contains 22 as substring.

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, 1464314 + ... + 1465086.

It is an arithmetic number, because the mean of its divisors is an integer number (34748644).

Almost surely, 21132213100 is an apocalyptic number.

1132213100 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 1132213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1250951184).

1132213100 is an abundant number, since it is smaller than the sum of its proper divisors (1369689268).

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

1132213100 is a wasteful number, since it uses less digits than its factorization.

1132213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1035 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 1132213100 is about 33648.3744035280. The cubic root of 1132213100 is about 1042.2599707709.

Adding to 1132213100 its reverse (13122311), we get a palindrome (1145335411).

The spelling of 1132213100 in words is "one billion, one hundred thirty-two million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 151 194 302 388 485 604 755 773 970 1510 1546 1940 2425 3020 3092 3775 3865 4850 7550 7730 9700 14647 15100 15460 19325 29294 38650 58588 73235 74981 77300 116723 146470 149962 233446 292940 299924 366175 374905 466892 583615 732350 749810 1167230 1464700 1499620 1874525 2334460 2918075 3749050 5836150 7498100 11322131 11672300 22644262 45288524 56610655 113221310 226442620 283053275 566106550 1132213100