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2132103424 = 28111933923
BaseRepresentation
bin111111100010101…
…0101000100000000
312111120221002001111
41333011111010000
513331304302144
6551322213104
7103556402653
oct17705250400
95446832044
102132103424
119a4575950
124b6054194
1327c94b379
1416324589a
15c72a9534
hex7f155100

2132103424 has 72 divisors (see below), whose sum is σ = 4668021792. Its totient is φ = 963870720.

The previous prime is 2132103401. The next prime is 2132103497. The reversal of 2132103424 is 4243012312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2132103395 and 2132103404.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 541527 + ... + 545449.

It is an arithmetic number, because the mean of its divisors is an integer number (64833636).

Almost surely, 22132103424 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 2132103424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2334010896).

2132103424 is an abundant number, since it is smaller than the sum of its proper divisors (2535918368).

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

2132103424 is a wasteful number, since it uses less digits than its factorization.

2132103424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4143 (or 4129 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 2132103424 is about 46174.7054565592. The cubic root of 2132103424 is about 1287.0717434997.

Adding to 2132103424 its reverse (4243012312), we get a palindrome (6375115736).

The spelling of 2132103424 in words is "two billion, one hundred thirty-two million, one hundred three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 193 256 352 386 704 772 1408 1544 2123 2816 3088 3923 4246 6176 7846 8492 12352 15692 16984 24704 31384 33968 43153 49408 62768 67936 86306 125536 135872 172612 251072 271744 345224 502144 543488 690448 757139 1004288 1380896 1514278 2761792 3028556 5523584 6057112 8328529 11047168 12114224 16657058 24228448 33314116 48456896 66628232 96913792 133256464 193827584 266512928 533025856 1066051712 2132103424