Search a number
-
+
211133221131 = 37172271312823
BaseRepresentation
bin1100010010100010000…
…1010100100100001011
3202011222020101220202210
43010220201110210023
511424400101034011
6240554313400203
721153035524440
oct3045041244413
9664866356683
10211133221131
11815a5220aa8
1234b04109063
1316ba9a1c4a1
14a30c94d9c7
15575aa7b6a6
hex312885490b

211133221131 has 48 divisors (see below), whose sum is σ = 341917796864. Its totient is φ = 113499933696.

The previous prime is 211133221127. The next prime is 211133221151. The reversal of 211133221131 is 131122331112.

It is not a de Polignac number, because 211133221131 - 22 = 211133221127 is a prime.

It is a super-2 number, since 2×2111332211312 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 211133221098 and 211133221107.

It is not an unprimeable number, because it can be changed into a prime (211133221111) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16458786 + ... + 16471608.

Almost surely, 2211133221131 is an apocalyptic number.

211133221131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

211133221131 is a deficient number, since it is larger than the sum of its proper divisors (130784575733).

211133221131 is a wasteful number, since it uses less digits than its factorization.

211133221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15580 (or 15563 counting only the distinct ones).

The product of its digits is 216, while the sum is 21.

Adding to 211133221131 its reverse (131122331112), we get a palindrome (342255552243).

The spelling of 211133221131 in words is "two hundred eleven billion, one hundred thirty-three million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 17 21 51 119 289 357 867 2023 2713 6069 8139 12823 18991 38469 46121 56973 89761 138363 217991 269283 322847 653973 784057 968541 1525937 2352171 3705847 4577811 5488399 11117541 16465197 25940929 34788799 77822787 104366397 243521593 591409583 730564779 1774228749 4139867081 10053962911 12419601243 30161888733 70377740377 211133221131