Search a number
-
+
100122452016 = 2433595810263
BaseRepresentation
bin101110100111111000…
…0110110000000110000
3100120102201001112211120
41131033300312000300
53120022321431031
6113555015342240
710143061541316
oct1351760660060
9316381045746
10100122452016
1139509572114
12174a2981980
139597cb4762
144bbb4180b6
15290ed76a96
hex174fc36030

100122452016 has 40 divisors (see below), whose sum is σ = 259370184960. Its totient is φ = 33281180736.

The previous prime is 100122452011. The next prime is 100122452081. The reversal of 100122452016 is 610254221001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100122452011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2887900 + ... + 2922363.

It is an arithmetic number, because the mean of its divisors is an integer number (6484254624).

Almost surely, 2100122452016 is an apocalyptic number.

100122452016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100122452016 is an abundant number, since it is smaller than the sum of its proper divisors (159247732944).

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

100122452016 is a wasteful number, since it uses less digits than its factorization.

100122452016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5810633 (or 5810627 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 100122452016 its reverse (610254221001), we get a palindrome (710376673017).

The spelling of 100122452016 in words is "one hundred billion, one hundred twenty-two million, four hundred fifty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 359 718 1077 1436 2154 2872 4308 5744 8616 17232 5810263 11620526 17430789 23241052 34861578 46482104 69723156 92964208 139446312 278892624 2085884417 4171768834 6257653251 8343537668 12515306502 16687075336 25030613004 33374150672 50061226008 100122452016