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1035243132 = 22371110111093
BaseRepresentation
bin111101101101001…
…000111001111100
32200010222210121020
4331231020321330
54110010240012
6250420504140
734440264360
oct7555107174
92603883536
101035243132
11491405540
1224a84b050
13136629801
149b6c32a0
1560d43a8c
hex3db48e7c

1035243132 has 96 divisors (see below), whose sum is σ = 3041708544. Its totient is φ = 266208000.

The previous prime is 1035243113. The next prime is 1035243137. The reversal of 1035243132 is 2313425301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1035243137) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87778 + ... + 98870.

It is an arithmetic number, because the mean of its divisors is an integer number (31684464).

Almost surely, 21035243132 is an apocalyptic number.

1035243132 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 1035243132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520854272).

1035243132 is an abundant number, since it is smaller than the sum of its proper divisors (2006465412).

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

1035243132 is a wasteful number, since it uses less digits than its factorization.

1035243132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11219 (or 11217 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1035243132 is about 32175.1943583873. The cubic root of 1035243132 is about 1011.6123422138.

Adding to 1035243132 its reverse (2313425301), we get a palindrome (3348668433).

The spelling of 1035243132 in words is "one billion, thirty-five million, two hundred forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 101 132 154 202 231 303 308 404 462 606 707 924 1111 1212 1414 2121 2222 2828 3333 4242 4444 6666 7777 8484 11093 13332 15554 22186 23331 31108 33279 44372 46662 66558 77651 93324 122023 133116 155302 232953 244046 310604 366069 465906 488092 732138 854161 931812 1120393 1464276 1708322 2240786 2562483 3361179 3416644 4481572 5124966 6722358 7842751 10249932 12324323 13444716 15685502 23528253 24648646 31371004 36972969 47056506 49297292 73945938 86270261 94113012 147891876 172540522 258810783 345081044 517621566 1035243132