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101102320321 = 1734331732361
BaseRepresentation
bin101111000101000101…
…0101111101011000001
3100122221222212000110021
41132022022233223001
53124024143222241
6114240141333441
710206260354242
oct1361212575301
9318858760407
10101102320321
1139971695732
1217716b67281
1396c2cc35a2
144c71604cc9
15296adcd0d1
hex178a2afac1

101102320321 has 8 divisors (see below), whose sum is σ = 107080759944. Its totient is φ = 95127352320.

The previous prime is 101102320313. The next prime is 101102320327. The reversal of 101102320321 is 123023201101.

It can be written as a sum of positive squares in 4 ways, for example, as 52466193025 + 48636127296 = 229055^2 + 220536^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101102320321 - 23 = 101102320313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101102320295 and 101102320304.

It is not an unprimeable number, because it can be changed into a prime (101102320327) 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 7 ways as a sum of consecutive naturals, for example, 807820 + ... + 924541.

It is an arithmetic number, because the mean of its divisors is an integer number (13385094993).

Almost surely, 2101102320321 is an apocalyptic number.

It is an amenable number.

101102320321 is a deficient number, since it is larger than the sum of its proper divisors (5978439623).

101102320321 is a wasteful number, since it uses less digits than its factorization.

101102320321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735811.

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 101102320321 its reverse (123023201101), we get a palindrome (224125521422).

The spelling of 101102320321 in words is "one hundred one billion, one hundred two million, three hundred twenty thousand, three hundred twenty-one".

Divisors: 1 17 3433 58361 1732361 29450137 5947195313 101102320321