Search a number
-
+
101221003331 = 7233313198277
BaseRepresentation
bin101111001000100111…
…1011111000001000011
3100200021021011201221022
41132101033133001003
53124300034101311
6114300021220055
710212231221660
oct1362117370103
9320237151838
10101221003331
1139a22687a68
121774a86162b
139711778c16
144c8329aa67
1529765235db
hex17913df043

101221003331 has 16 divisors (see below), whose sum is σ = 116549394624. Its totient is φ = 86112059904.

The previous prime is 101221003307. The next prime is 101221003337. The reversal of 101221003331 is 133300122101.

It is a cyclic number.

It is not a de Polignac number, because 101221003331 - 210 = 101221002307 is a prime.

It is a super-2 number, since 2×1012210033312 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101221003337) 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 15 ways as a sum of consecutive naturals, for example, 411365 + ... + 609641.

It is an arithmetic number, because the mean of its divisors is an integer number (7284337164).

Almost surely, 2101221003331 is an apocalyptic number.

101221003331 is a deficient number, since it is larger than the sum of its proper divisors (15328391293).

101221003331 is a wasteful number, since it uses less digits than its factorization.

101221003331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198830.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 101221003331 its reverse (133300122101), we get a palindrome (234521125432).

The spelling of 101221003331 in words is "one hundred one billion, two hundred twenty-one million, three thousand, three hundred thirty-one".

Divisors: 1 7 233 313 1631 2191 72929 198277 510503 1387939 46198541 62060701 323389787 434424907 14460143333 101221003331