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1013113232 = 241731532267
BaseRepresentation
bin111100011000101…
…110000110010000
32121121100111002022
4330120232012100
54033324110412
6244310311012
734051214615
oct7430560620
92547314068
101013113232
1147a96aa6a
12243358468
13131b7bab1
14987a250c
155de21a72
hex3c62e190

1013113232 has 80 divisors (see below), whose sum is σ = 2186860032. Its totient is φ = 452474880.

The previous prime is 1013113217. The next prime is 1013113303. The reversal of 1013113232 is 2323113101.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 1013113232.

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 15 ways as a sum of consecutive naturals, for example, 445763 + ... + 448029.

Almost surely, 21013113232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093430016).

1013113232 is an abundant number, since it is smaller than the sum of its proper divisors (1173746800).

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

1013113232 is a wasteful number, since it uses less digits than its factorization.

1013113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 1013113232 is about 31829.4397060332. The cubic root of 1013113232 is about 1004.3521090030.

Adding to 1013113232 its reverse (2323113101), we get a palindrome (3336226333).

The spelling of 1013113232 in words is "one billion, thirteen million, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 31 34 53 62 68 106 124 136 212 248 272 424 496 527 848 901 1054 1643 1802 2108 2267 3286 3604 4216 4534 6572 7208 8432 9068 13144 14416 18136 26288 27931 36272 38539 55862 70277 77078 111724 120151 140554 154156 223448 240302 281108 308312 446896 480604 562216 616624 961208 1124432 1194709 1922416 2042567 2389418 3724681 4085134 4778836 7449362 8170268 9557672 14898724 16340536 19115344 29797448 32681072 59594896 63319577 126639154 253278308 506556616 1013113232