Search a number
-
+
101444402224 = 24112292516981
BaseRepresentation
bin101111001111010001…
…1101011110000110000
3100200211211112120121101
41132132203223300300
53130224231332344
6114334121334144
710220613122464
oct1363643536060
9320754476541
10101444402224
113a0277a1950
12177b1637354
139748b36709
144ca4c104a4
15298ae509d4
hex179e8ebc30

101444402224 has 40 divisors (see below), whose sum is σ = 215352979920. Its totient is φ = 45909715200.

The previous prime is 101444402221. The next prime is 101444402231. The reversal of 101444402224 is 422204444101.

It is a happy number.

It is a super-2 number, since 2×1014444022242 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101444402192 and 101444402201.

It is not an unprimeable number, because it can be changed into a prime (101444402221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1218187 + ... + 1298794.

It is an arithmetic number, because the mean of its divisors is an integer number (5383824498).

Almost surely, 2101444402224 is an apocalyptic number.

It is an amenable number.

101444402224 is an abundant number, since it is smaller than the sum of its proper divisors (113908577696).

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

101444402224 is a wasteful number, since it uses less digits than its factorization.

101444402224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2517229 (or 2517223 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

Adding to 101444402224 its reverse (422204444101), we get a palindrome (523648846325).

The spelling of 101444402224 in words is "one hundred one billion, four hundred forty-four million, four hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 229 458 916 1832 2519 3664 5038 10076 20152 40304 2516981 5033962 10067924 20135848 27686791 40271696 55373582 110747164 221494328 442988656 576388649 1152777298 2305554596 4611109192 6340275139 9222218384 12680550278 25361100556 50722201112 101444402224