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100120013344 = 2513457526637
BaseRepresentation
bin101110100111110011…
…1100010101000100000
3100120102112110122121101
41131033213202220200
53120021210411334
6113554451204144
710143032033431
oct1351747425040
9316375418541
10100120013344
113950815698a
12174a1ba6654
13959763c760
144bbad81488
15290ea44214
hex174f9e2a20

100120013344 has 48 divisors (see below), whose sum is σ = 212738579928. Its totient is φ = 46108035072.

The previous prime is 100120013317. The next prime is 100120013351. The reversal of 100120013344 is 443310021001.

It can be written as a sum of positive squares in 4 ways, for example, as 86989603600 + 13130409744 = 294940^2 + 114588^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73207 + ... + 453430.

Almost surely, 2100120013344 is an apocalyptic number.

It is an amenable number.

100120013344 is an abundant number, since it is smaller than the sum of its proper divisors (112618566584).

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

100120013344 is a wasteful number, since it uses less digits than its factorization.

100120013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527117 (or 527109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 100120013344 its reverse (443310021001), we get a palindrome (543430034345).

The spelling of 100120013344 in words is "one hundred billion, one hundred twenty million, thirteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 457 914 1828 3656 5941 7312 11882 14624 23764 47528 95056 190112 526637 1053274 2106548 4213096 6846281 8426192 13692562 16852384 27385124 54770248 109540496 219080992 240673109 481346218 962692436 1925384872 3128750417 3850769744 6257500834 7701539488 12515001668 25030003336 50060006672 100120013344