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101000145610224 = 2434743940076329
BaseRepresentation
bin10110111101101111101101…
…110011010010010111110000
3111020121112000210201201110000
4112331233231303102113300
5101214241244234011344
6554450454254110000
730163006522436010
oct2675575563222760
9436545023651400
10101000145610224
112a1aaa151461a3
12b3b26084ab300
134448371634583
141ad260c71dc40
15ba23a3be9a69
hex5bdbedcd25f0

101000145610224 has 400 divisors, whose sum is σ = 334981752652800. Its totient is φ = 28779717270528.

The previous prime is 101000145610171. The next prime is 101000145610229. The reversal of 101000145610224 is 422016541000101.

101000145610224 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 0 + 0 + 1 + 45 + 610 + 2 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000145610229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15958307092 + ... + 15958313420.

It is an arithmetic number, because the mean of its divisors is an integer number (837454381632).

Almost surely, 2101000145610224 is an apocalyptic number.

101000145610224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000145610224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167490876326400).

101000145610224 is an abundant number, since it is smaller than the sum of its proper divisors (233981607042576).

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

101000145610224 is a wasteful number, since it uses less digits than its factorization.

101000145610224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10802 (or 10787 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 101000145610224 its reverse (422016541000101), we get a palindrome (523016686610325).

The spelling of 101000145610224 in words is "one hundred one trillion, one hundred forty-five million, six hundred ten thousand, two hundred twenty-four".