Search a number
-
+
101041201323 = 3237613494987
BaseRepresentation
bin101111000011010000…
…1100110000010101011
3100122210201211211221200
41132012201212002223
53123413021420243
6114230115335243
710204616016606
oct1360641460253
9318721754850
10101041201323
1139940140067
12176ba5b1523
1396b34441ba
144c6745533d
152965858ad3
hex17868660ab

101041201323 has 24 divisors (see below), whose sum is σ = 150137780208. Its totient is φ = 65433189312.

The previous prime is 101041201279. The next prime is 101041201403. The reversal of 101041201323 is 323102140101.

101041201323 is a `hidden beast` number, since 101 + 0 + 41 + 201 + 323 = 666.

It is not a de Polignac number, because 101041201323 - 28 = 101041201067 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101041201296 and 101041201305.

It is not an unprimeable number, because it can be changed into a prime (101041206323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43365 + ... + 451622.

It is an arithmetic number, because the mean of its divisors is an integer number (6255740842).

Almost surely, 2101041201323 is an apocalyptic number.

101041201323 is a deficient number, since it is larger than the sum of its proper divisors (49096578885).

101041201323 is a wasteful number, since it uses less digits than its factorization.

101041201323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495643 (or 495640 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101041201323 its reverse (323102140101), we get a palindrome (424143341424).

The spelling of 101041201323 in words is "one hundred one billion, forty-one million, two hundred one thousand, three hundred twenty-three".

Divisors: 1 3 9 37 111 333 613 1839 5517 22681 68043 204129 494987 1484961 4454883 18314519 54943557 164830671 303427031 910281093 2730843279 11226800147 33680400441 101041201323