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101133300424 = 231321724159107
BaseRepresentation
bin101111000110000000…
…0111011001011001000
3100200001011010222011111
41132030000323023020
53124110111103144
6114243205340104
710210114604242
oct1361400731310
9320034128144
10101133300424
1139988125522
1217725407634
1396c954c700
144c7578b092
15296d99c534
hex178c03b2c8

101133300424 has 288 divisors, whose sum is σ = 229353314400. Its totient is φ = 41739509760.

The previous prime is 101133300419. The next prime is 101133300451. The reversal of 101133300424 is 424003331101.

It is a junction number, because it is equal to n+sod(n) for n = 101133300395 and 101133300404.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 945170979 + ... + 945171085.

It is an arithmetic number, because the mean of its divisors is an integer number (796365675).

Almost surely, 2101133300424 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 101133300424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114676657200).

101133300424 is an abundant number, since it is smaller than the sum of its proper divisors (128220013976).

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

101133300424 is a wasteful number, since it uses less digits than its factorization.

101133300424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 101133300424 its reverse (424003331101), we get a palindrome (525136631525).

The spelling of 101133300424 in words is "one hundred one billion, one hundred thirty-three million, three hundred thousand, four hundred twenty-four".