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101242101444 = 22311173710112073
BaseRepresentation
bin101111001001001111…
…1111101111011000100
3100200022201212122002220
41132102133331323010
53124320434221234
6114302053332340
710212605443341
oct1362237757304
9320281778086
10101242101444
1139a33588320
12177559370b0
139715c55103
144c85dcd7c8
1529782dea49
hex17927fdec4

101242101444 has 192 divisors, whose sum is σ = 283039287552. Its totient is φ = 27813888000.

The previous prime is 101242101403. The next prime is 101242101451. The reversal of 101242101444 is 444101242101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8379792 + ... + 8391864.

It is an arithmetic number, because the mean of its divisors is an integer number (1474162956).

Almost surely, 2101242101444 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 101242101444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141519643776).

101242101444 is an abundant number, since it is smaller than the sum of its proper divisors (181797186108).

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

101242101444 is a wasteful number, since it uses less digits than its factorization.

101242101444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12244 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

Adding to 101242101444 its reverse (444101242101), we get a palindrome (545343343545).

The spelling of 101242101444 in words is "one hundred one billion, two hundred forty-two million, one hundred one thousand, four hundred forty-four".