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101003133037 is a prime number
BaseRepresentation
bin101111000010001000…
…0011000000001101101
3100122201002012210002011
41132010100120001231
53123323300224122
6114222235401221
710203644315422
oct1360420300155
9318632183064
10101003133037
11399206a9874
12176a98b3211
1396a85a59a1
144c62385d49
152962339377
hex178441806d

101003133037 has 2 divisors, whose sum is σ = 101003133038. Its totient is φ = 101003133036.

The previous prime is 101003133029. The next prime is 101003133157. The reversal of 101003133037 is 730331300101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100526409481 + 476723556 = 317059^2 + 21834^2 .

It is a cyclic number.

It is not a de Polignac number, because 101003133037 - 23 = 101003133029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101003132999 and 101003133017.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101003133437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501566518 + 50501566519.

It is an arithmetic number, because the mean of its divisors is an integer number (50501566519).

Almost surely, 2101003133037 is an apocalyptic number.

It is an amenable number.

101003133037 is a deficient number, since it is larger than the sum of its proper divisors (1).

101003133037 is an equidigital number, since it uses as much as digits as its factorization.

101003133037 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 567, while the sum is 22.

Adding to 101003133037 its reverse (730331300101), we get a palindrome (831334433138).

The spelling of 101003133037 in words is "one hundred one billion, three million, one hundred thirty-three thousand, thirty-seven".