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103221132 = 22378913807
BaseRepresentation
bin1100010011100…
…00011110001100
321012020011202220
412021300132030
5202411034012
614124215340
72362236150
oct611603614
9235204686
10103221132
11532a1623
122a69a550
13185009c1
14d9cd060
1590de08c
hex627078c

103221132 has 48 divisors (see below), whose sum is σ = 278369280. Its totient is φ = 29158272.

The previous prime is 103221109. The next prime is 103221169. The reversal of 103221132 is 231122301.

It is a super-2 number, since 2×1032211322 = 21309204182722848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573 + ... + 14379.

It is an arithmetic number, because the mean of its divisors is an integer number (5799360).

Almost surely, 2103221132 is an apocalyptic number.

103221132 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 103221132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139184640).

103221132 is an abundant number, since it is smaller than the sum of its proper divisors (175148148).

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

103221132 is a wasteful number, since it uses less digits than its factorization.

103221132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13910 (or 13908 counting only the distinct ones).

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

The square root of 103221132 is about 10159.7801157309. The cubic root of 103221132 is about 469.0900335273.

Adding to 103221132 its reverse (231122301), we get a palindrome (334343433).

The spelling of 103221132 in words is "one hundred three million, two hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 1068 1246 1869 2492 3738 7476 13807 27614 41421 55228 82842 96649 165684 193298 289947 386596 579894 1159788 1228823 2457646 3686469 4915292 7372938 8601761 14745876 17203522 25805283 34407044 51610566 103221132