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2102044104 = 2332107281971
BaseRepresentation
bin111110101001010…
…1010010111001000
312102111100220102100
41331102222113020
513301110402404
6544330033400
7103043036316
oct17522522710
95374326370
102102044104
11989604936
124a7b78860
132766553a4
1415d25d0b6
15c481cd39
hex7d4aa5c8

2102044104 has 96 divisors (see below), whose sum is σ = 5772630240. Its totient is φ = 690950400.

The previous prime is 2102044073. The next prime is 2102044127. The reversal of 2102044104 is 4014402012.

It is a super-2 number, since 2×21020441042 = 8837178830322325632, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2164339 + ... + 2165309.

It is an arithmetic number, because the mean of its divisors is an integer number (60131565).

Almost surely, 22102044104 is an apocalyptic number.

2102044104 is a gapful number since it is divisible by the number (24) 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 2102044104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886315120).

2102044104 is an abundant number, since it is smaller than the sum of its proper divisors (3670586136).

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

2102044104 is a wasteful number, since it uses less digits than its factorization.

2102044104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2102044104 is about 45848.0545279732. The cubic root of 2102044104 is about 1280.9945281830.

Adding to 2102044104 its reverse (4014402012), we get a palindrome (6116446116).

The spelling of 2102044104 in words is "two billion, one hundred two million, forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 281 321 428 562 642 843 856 963 971 1124 1284 1686 1926 1942 2248 2529 2568 2913 3372 3852 3884 5058 5826 6744 7704 7768 8739 10116 11652 17478 20232 23304 30067 34956 60134 69912 90201 103897 120268 180402 207794 240536 270603 272851 311691 360804 415588 541206 545702 623382 721608 818553 831176 935073 1082412 1091404 1246764 1637106 1870146 2164824 2182808 2455659 2493528 3274212 3740292 4911318 6548424 7480584 9822636 19645272 29195057 58390114 87585171 116780228 175170342 233560456 262755513 350340684 525511026 700681368 1051022052 2102044104