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101320456428 = 223223122367701
BaseRepresentation
bin101111001011100101…
…0110111100011101100
3100200112012022110221100
41132113022313203230
53130001014101203
6114313533003100
710214546445462
oct1362712674354
9320465273840
10101320456428
1139a73835604
1217778023490
13972925a7c9
144c92588832
15298011aea3
hex17972b78ec

101320456428 has 36 divisors (see below), whose sum is σ = 267251061168. Its totient is φ = 32305072800.

The previous prime is 101320456427. The next prime is 101320456459. The reversal of 101320456428 is 824654023101.

It is a happy number.

101320456428 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 2 + 0 + 4 + 5 + 642 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101320456392 and 101320456401.

It is not an unprimeable number, because it can be changed into a prime (101320456427) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61183023 + ... + 61184678.

It is an arithmetic number, because the mean of its divisors is an integer number (7423640588).

Almost surely, 2101320456428 is an apocalyptic number.

101320456428 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101320456428 is an abundant number, since it is smaller than the sum of its proper divisors (165930604740).

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

101320456428 is a wasteful number, since it uses less digits than its factorization.

101320456428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122367734 (or 122367729 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 101320456428 its reverse (824654023101), we get a palindrome (925974479529).

The spelling of 101320456428 in words is "one hundred one billion, three hundred twenty million, four hundred fifty-six thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 207 276 414 828 122367701 244735402 367103103 489470804 734206206 1101309309 1468412412 2202618618 2814457123 4405237236 5628914246 8443371369 11257828492 16886742738 25330114107 33773485476 50660228214 101320456428