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101002133077 is a prime number
BaseRepresentation
bin101111000010000110…
…0100011111001010101
3100122201000022222101121
41132010030203321111
53123323021224302
6114222202123541
710203632652166
oct1360414437125
9318630288347
10101002133077
113992008655a
12176a94b05b1
1396a83157b1
144c621a576d
1529621dce37
hex1784323e55

101002133077 has 2 divisors, whose sum is σ = 101002133078. Its totient is φ = 101002133076.

The previous prime is 101002133059. The next prime is 101002133147. The reversal of 101002133077 is 770331200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58218933796 + 42783199281 = 241286^2 + 206841^2 .

It is an emirp because it is prime and its reverse (770331200101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101002133077 - 223 = 100993744469 is a prime.

It is a super-2 number, since 2×1010021330772 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002133977) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501066538 + 50501066539.

It is an arithmetic number, because the mean of its divisors is an integer number (50501066539).

Almost surely, 2101002133077 is an apocalyptic number.

It is an amenable number.

101002133077 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002133077 is an equidigital number, since it uses as much as digits as its factorization.

101002133077 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 882, while the sum is 25.

Adding to 101002133077 its reverse (770331200101), we get a palindrome (871333333178).

The spelling of 101002133077 in words is "one hundred one billion, two million, one hundred thirty-three thousand, seventy-seven".