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1244104100 = 2252471511753
BaseRepresentation
bin100101000100111…
…1000010110100100
310012201000000222122
41022021320112210
510021442312400
6323241245112
742554465441
oct11211702644
93181000878
101244104100
1158929a908
122a8793798
1316a997095
14bb3309c8
157434d685
hex4a2785a4

1244104100 has 72 divisors (see below), whose sum is σ = 2776988928. Its totient is φ = 483552000.

The previous prime is 1244104093. The next prime is 1244104117. The reversal of 1244104100 is 14014421.

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 23 ways as a sum of consecutive naturals, for example, 708824 + ... + 710576.

Almost surely, 21244104100 is an apocalyptic number.

1244104100 is a gapful number since it is divisible by the number (10) 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 1244104100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388494464).

1244104100 is an abundant number, since it is smaller than the sum of its proper divisors (1532884828).

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

1244104100 is a wasteful number, since it uses less digits than its factorization.

1244104100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1244104100 is about 35271.8598885854. The cubic root of 1244104100 is about 1075.5210310026.

Adding to 1244104100 its reverse (14014421), we get a palindrome (1258118521).

The spelling of 1244104100 in words is "one billion, two hundred forty-four million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 151 188 235 302 470 604 755 940 1175 1510 1753 2350 3020 3506 3775 4700 7012 7097 7550 8765 14194 15100 17530 28388 35060 35485 43825 70970 82391 87650 141940 164782 175300 177425 264703 329564 354850 411955 529406 709700 823910 1058812 1323515 1647820 2059775 2647030 4119550 5294060 6617575 8239100 12441041 13235150 24882082 26470300 49764164 62205205 124410410 248820820 311026025 622052050 1244104100