Search a number
-
+
11301210121131 = 3274716722854413
BaseRepresentation
bin1010010001110100010010…
…0111010110001110101011
31111000101101202122020011200
42210131010213112032223
52440124334242334011
640011412041455243
72244325344026640
oct244350447261653
944011352566150
1011301210121131
1136678a8545117
1213263004a1523
1363c912b7bb68
142b0da52bddc7
15148e85202856
hexa47449d63ab

11301210121131 has 48 divisors (see below), whose sum is σ = 19166991427584. Its totient is φ = 6282586441152.

The previous prime is 11301210121111. The next prime is 11301210121211. The reversal of 11301210121131 is 13112101210311.

11301210121131 is a `hidden beast` number, since 1 + 1 + 301 + 210 + 1 + 21 + 131 = 666.

11301210121131 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11301210121131 - 210 = 11301210120107 is a prime.

It is a super-2 number, since 2×113012101211312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11301210121111) 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, 10932720 + ... + 11921693.

It is an arithmetic number, because the mean of its divisors is an integer number (399312321408).

Almost surely, 211301210121131 is an apocalyptic number.

11301210121131 is a deficient number, since it is larger than the sum of its proper divisors (7865781306453).

11301210121131 is a wasteful number, since it uses less digits than its factorization.

11301210121131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22854640 (or 22854637 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 11301210121131 its reverse (13112101210311), we get a palindrome (24413311331442).

The spelling of 11301210121131 in words is "eleven trillion, three hundred one billion, two hundred ten million, one hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 47 63 141 167 329 423 501 987 1169 1503 2961 3507 7849 10521 23547 54943 70641 164829 494487 22854413 68563239 159980891 205689717 479942673 1074157411 1439828019 3222472233 3816686971 7519101877 9667416699 11450060913 22557305631 26716808797 34350182739 67671916893 80150426391 179384287637 240451279173 538152862911 1255690013459 1614458588733 3767070040377 11301210121131