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101424441042 = 232127199222953
BaseRepresentation
bin101111001110101011…
…1100010011011010010
3100200210102222110000100
41132131113202123102
53130204124103132
6114332125433230
710220251344561
oct1363527423322
9320712873010
10101424441042
113a0174a8801
12177a6a0b816
139744967b72
144ca22d5bd8
15298930b37c
hex179d5e26d2

101424441042 has 48 divisors (see below), whose sum is σ = 222597273600. Its totient is φ = 33373238976.

The previous prime is 101424441037. The next prime is 101424441043. The reversal of 101424441042 is 240144424101.

It is a happy number.

101424441042 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 244 + 410 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101424440997 and 101424441015.

It is not an unprimeable number, because it can be changed into a prime (101424441043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343438 + ... + 566390.

It is an arithmetic number, because the mean of its divisors is an integer number (4637443200).

Almost surely, 2101424441042 is an apocalyptic number.

101424441042 is an abundant number, since it is smaller than the sum of its proper divisors (121172832558).

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

101424441042 is a wasteful number, since it uses less digits than its factorization.

101424441042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223287 (or 223284 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 101424441042 its reverse (240144424101), we get a palindrome (341568865143).

The spelling of 101424441042 in words is "one hundred one billion, four hundred twenty-four million, four hundred forty-one thousand, forty-two".

Divisors: 1 2 3 6 9 18 127 199 254 381 398 597 762 1143 1194 1791 2286 3582 25273 50546 75819 151638 222953 227457 445906 454914 668859 1337718 2006577 4013154 28315031 44367647 56630062 84945093 88735294 133102941 169890186 254835279 266205882 399308823 509670558 798617646 5634691169 11269382338 16904073507 33808147014 50712220521 101424441042