Search a number
-
+
101221303221 = 322310138312641
BaseRepresentation
bin101111001000101000…
…0101000001110110101
3100200021021201222022100
41132101100220032311
53124300123200341
6114300031452313
710212233611203
oct1362120501665
9320237658270
10101221303221
1139a22872305
121774a987099
13971185257c
144c83338073
1529765823b6
hex17914283b5

101221303221 has 48 divisors (see below), whose sum is σ = 154490499072. Its totient is φ = 63735936000.

The previous prime is 101221303207. The next prime is 101221303277. The reversal of 101221303221 is 122303122101.

It is not a de Polignac number, because 101221303221 - 219 = 101220778933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101221303194 and 101221303203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221303291) 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 47 ways as a sum of consecutive naturals, for example, 8001061 + ... + 8013701.

It is an arithmetic number, because the mean of its divisors is an integer number (3218552064).

Almost surely, 2101221303221 is an apocalyptic number.

It is an amenable number.

101221303221 is a deficient number, since it is larger than the sum of its proper divisors (53269195851).

101221303221 is a wasteful number, since it uses less digits than its factorization.

101221303221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13154 (or 13151 counting only the distinct ones).

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

Adding to 101221303221 its reverse (122303122101), we get a palindrome (223524425322).

The spelling of 101221303221 in words is "one hundred one billion, two hundred twenty-one million, three hundred three thousand, two hundred twenty-one".

Divisors: 1 3 9 23 69 101 207 303 383 909 1149 2323 3447 6969 8809 12641 20907 26427 37923 38683 79281 113769 116049 290743 348147 872229 889709 1276741 2616687 2669127 3830223 4841503 8007381 11490669 14524509 29365043 43573527 88095129 111354569 264285387 334063707 488991803 1002191121 1466975409 4400926227 11246811469 33740434407 101221303221