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1122103032 = 2332931131397
BaseRepresentation
bin100001011100001…
…1110111011111000
32220012102201222120
41002320132323320
54244224244112
6303202321240
736543501261
oct10270367370
92805381876
101122103032
11526441686
12273959220
1314b61c3bb
14a9053968
156879ee8c
hex42e1eef8

1122103032 has 128 divisors (see below), whose sum is σ = 3026073600. Its totient is φ = 345945600.

The previous prime is 1122103027. The next prime is 1122103049. The reversal of 1122103032 is 2303012211.

It is a congruent number.

It is an unprimeable number.

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, 2826258 + ... + 2826654.

It is an arithmetic number, because the mean of its divisors is an integer number (23641200).

Almost surely, 21122103032 is an apocalyptic number.

1122103032 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 1122103032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513036800).

1122103032 is an abundant number, since it is smaller than the sum of its proper divisors (1903970568).

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

1122103032 is a wasteful number, since it uses less digits than its factorization.

1122103032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 1122103032 is about 33497.8063759405. The cubic root of 1122103032 is about 1039.1484128425.

Adding to 1122103032 its reverse (2303012211), we get a palindrome (3425115243).

The spelling of 1122103032 in words is "one billion, one hundred twenty-two million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 131 174 186 232 248 262 348 372 393 397 524 696 744 786 794 899 1048 1191 1572 1588 1798 2382 2697 3144 3176 3596 3799 4061 4764 5394 7192 7598 8122 9528 10788 11397 11513 12183 12307 15196 16244 21576 22794 23026 24366 24614 30392 32488 34539 36921 45588 46052 48732 49228 52007 69078 73842 91176 92104 97464 98456 104014 117769 138156 147684 156021 208028 235538 276312 295368 312042 353307 356903 416056 471076 624084 706614 713806 942152 1070709 1248168 1413228 1427612 1508203 1612217 2141418 2826456 2855224 3016406 3224434 4282836 4524609 4836651 6032812 6448868 8565672 9049218 9673302 12065624 12897736 18098436 19346604 36196872 38693208 46754293 93508586 140262879 187017172 280525758 374034344 561051516 1122103032