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101021213133 = 3211224579237
BaseRepresentation
bin101111000010101010…
…1010110000111001101
3100122202100020100022100
41132011111112013031
53123342412310013
6114224123105313
710204254100161
oct1360525260715
9318670210270
10101021213133
113992a9286a5
12176b3972239
1396ac266279
144c64930ca1
152963c0b473
hex17855561cd

101021213133 has 6 divisors (see below), whose sum is σ = 145919530094. Its totient is φ = 67347475416.

The previous prime is 101021213123. The next prime is 101021213143. The reversal of 101021213133 is 331312120101.

It is an interprime number because it is at equal distance from previous prime (101021213123) and next prime (101021213143).

It can be written as a sum of positive squares in only one way, i.e., 72747799524 + 28273413609 = 269718^2 + 168147^2 .

It is not a de Polignac number, because 101021213133 - 213 = 101021204941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021213123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5612289610 + ... + 5612289627.

Almost surely, 2101021213133 is an apocalyptic number.

It is an amenable number.

101021213133 is a deficient number, since it is larger than the sum of its proper divisors (44898316961).

101021213133 is a wasteful number, since it uses less digits than its factorization.

101021213133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11224579243 (or 11224579240 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 101021213133 its reverse (331312120101), we get a palindrome (432333333234).

The spelling of 101021213133 in words is "one hundred one billion, twenty-one million, two hundred thirteen thousand, one hundred thirty-three".

Divisors: 1 3 9 11224579237 33673737711 101021213133