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1100012032 = 297535791
BaseRepresentation
bin100000110010000…
…1101101000000000
32211122212101211101
41001210031220000
54223100341112
6301053024144
736154643110
oct10144155000
92748771741
101100012032
11514a23359
12268485054
13146b862c2
14a6143040
1566889757
hex4190da00

1100012032 has 80 divisors (see below), whose sum is σ = 2559693312. Its totient is φ = 462458880.

The previous prime is 1100012027. The next prime is 1100012041. The reversal of 1100012032 is 2302100011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 187057 + ... + 192847.

Almost surely, 21100012032 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 1100012032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279846656).

1100012032 is an abundant number, since it is smaller than the sum of its proper divisors (1459681280).

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

1100012032 is an frugal number, since it uses more digits than its factorization.

1100012032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5869 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 1100012032 is about 33166.4292922829. The cubic root of 1100012032 is about 1032.2838791985.

Adding to 1100012032 its reverse (2302100011), we get a palindrome (3402112043).

It can be divided in two parts, 11000 and 12032, that added together give a palindrome (23032).

The spelling of 1100012032 in words is "one billion, one hundred million, twelve thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 53 56 64 106 112 128 212 224 256 371 424 448 512 742 848 896 1484 1696 1792 2968 3392 3584 5791 5936 6784 11582 11872 13568 23164 23744 27136 40537 46328 47488 81074 92656 94976 162148 185312 189952 306923 324296 370624 613846 648592 741248 1227692 1297184 1482496 2148461 2455384 2594368 2964992 4296922 4910768 5188736 8593844 9821536 10377472 17187688 19643072 20754944 34375376 39286144 68750752 78572288 137501504 157144576 275003008 550006016 1100012032