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1221133032 = 233272699007
BaseRepresentation
bin100100011001001…
…0000001011101000
310011002202222121100
41020302100023220
510000102224112
6321101041400
742155313420
oct11062201350
93132688540
101221133032
11577330359
122a0b56260
13165cb3532
14b8271480
15723122dc
hex48c902e8

1221133032 has 96 divisors (see below), whose sum is σ = 3794169600. Its totient is φ = 347559552.

The previous prime is 1221133027. The next prime is 1221133037. The reversal of 1221133032 is 2303311221.

It is an interprime number because it is at equal distance from previous prime (1221133027) and next prime (1221133037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1221132996 and 1221133014.

It is not an unprimeable number, because it can be changed into a prime (1221133037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131073 + ... + 140079.

It is an arithmetic number, because the mean of its divisors is an integer number (39522600).

Almost surely, 21221133032 is an apocalyptic number.

1221133032 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 1221133032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897084800).

1221133032 is an abundant number, since it is smaller than the sum of its proper divisors (2573036568).

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

1221133032 is a wasteful number, since it uses less digits than its factorization.

1221133032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9295 (or 9288 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1221133032 is about 34944.7139350145. The cubic root of 1221133032 is about 1068.8604142415.

Adding to 1221133032 its reverse (2303311221), we get a palindrome (3524444253).

The spelling of 1221133032 in words is "one billion, two hundred twenty-one million, one hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 269 504 538 807 1076 1614 1883 2152 2421 3228 3766 4842 5649 6456 7532 9007 9684 11298 15064 16947 18014 19368 22596 27021 33894 36028 45192 54042 63049 67788 72056 81063 108084 126098 135576 162126 189147 216168 252196 324252 378294 504392 567441 648504 756588 1134882 1513176 2269764 2422883 4539528 4845766 7268649 9691532 14537298 16960181 19383064 21805947 29074596 33920362 43611894 50880543 58149192 67840724 87223788 101761086 135681448 152641629 174447576 203522172 305283258 407044344 610566516 1221133032