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1201141032 = 2337134611193
BaseRepresentation
bin100011110010111…
…1111010100101000
310002201011021201220
41013211333110220
54424443003112
6315104342040
741523346620
oct10745772450
93081137656
101201141032
11567016043
12296314920
13161b03950
14b5749880
15706b398c
hex4797f528

1201141032 has 128 divisors (see below), whose sum is σ = 3706940160. Its totient is φ = 315832320.

The previous prime is 1201141021. The next prime is 1201141033. The reversal of 1201141032 is 2301411021.

It is not an unprimeable number, because it can be changed into a prime (1201141033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1006228 + ... + 1007420.

It is an arithmetic number, because the mean of its divisors is an integer number (28960470).

Almost surely, 21201141032 is an apocalyptic number.

1201141032 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 1201141032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1853470080).

1201141032 is an abundant number, since it is smaller than the sum of its proper divisors (2505799128).

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

1201141032 is a wasteful number, since it uses less digits than its factorization.

1201141032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1201141032 is about 34657.4816165283. The cubic root of 1201141032 is about 1062.9952756606.

Adding to 1201141032 its reverse (2301411021), we get a palindrome (3502552053).

The spelling of 1201141032 in words is "one billion, two hundred one million, one hundred forty-one thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 461 546 728 922 1092 1193 1383 1844 2184 2386 2766 3227 3579 3688 4772 5532 5993 6454 7158 8351 9544 9681 11064 11986 12908 14316 15509 16702 17979 19362 23972 25053 25816 28632 31018 33404 35958 38724 41951 46527 47944 50106 62036 66808 71916 77448 83902 93054 100212 108563 124072 125853 143832 167804 186108 200424 217126 251706 325689 335608 372216 434252 503412 549973 651378 868504 1006824 1099946 1302756 1649919 2199892 2605512 3299838 3849811 4399784 6599676 7149649 7699622 11549433 13199352 14299298 15399244 21448947 23098866 28598596 30798488 42897894 46197732 50047543 57197192 85795788 92395464 100095086 150142629 171591576 200190172 300285258 400380344 600570516 1201141032