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101001200301 = 3211222355589
BaseRepresentation
bin101111000010000100…
…1000000001010101101
3100122200221120120212100
41132010021000022231
53123322301402201
6114222130125313
710203622015551
oct1360411001255
9318627516770
10101001200301
113991a5a9771
12176a9120839
1396a807a061
144c62001861
1529620a6886
hex17842402ad

101001200301 has 6 divisors (see below), whose sum is σ = 145890622670. Its totient is φ = 67334133528.

The previous prime is 101001200281. The next prime is 101001200317. The reversal of 101001200301 is 103002100101.

It can be written as a sum of positive squares in only one way, i.e., 99698062500 + 1303137801 = 315750^2 + 36099^2 .

It is not a de Polignac number, because 101001200301 - 213 = 101001192109 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11222355589 = 101001200301 / (1 + 0 + 1 + 0 + 0 + 1 + 2 + 0 + 0 + 3 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001200101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611177786 + ... + 5611177803.

Almost surely, 2101001200301 is an apocalyptic number.

It is an amenable number.

101001200301 is a deficient number, since it is larger than the sum of its proper divisors (44889422369).

101001200301 is a wasteful number, since it uses less digits than its factorization.

101001200301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11222355595 (or 11222355592 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101001200301 its reverse (103002100101), we get a palindrome (204003300402).

The spelling of 101001200301 in words is "one hundred one billion, one million, two hundred thousand, three hundred one".

Divisors: 1 3 9 11222355589 33667066767 101001200301