Search a number
-
+
21214230131241 = 337176602623757
BaseRepresentation
bin1001101001011010100101…
…01001101011001000101001
32210010001122011200011221000
410310231102221223020221
510240033220403144431
6113041403251505213
74316451253604010
oct464552251531051
983101564604830
1021214230131241
1168399a4945374
1224675628b8209
13bab654a84534
14534aba645a77
1526bc6deb19e6
hex134b52a6b229

21214230131241 has 32 divisors (see below), whose sum is σ = 38031112846080. Its totient is φ = 11409333850368.

The previous prime is 21214230131203. The next prime is 21214230131243. The reversal of 21214230131241 is 14213103241212.

21214230131241 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 4 + 2 + 301 + 312 + 41 = 666.

It is not a de Polignac number, because 21214230131241 - 233 = 21205640196649 is a prime.

It is a super-2 number, since 2×212142301312412 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21214230131243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3301308666 + ... + 3301315091.

It is an arithmetic number, because the mean of its divisors is an integer number (1188472276440).

Almost surely, 221214230131241 is an apocalyptic number.

21214230131241 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21214230131241 is a deficient number, since it is larger than the sum of its proper divisors (16816882714839).

21214230131241 is a wasteful number, since it uses less digits than its factorization.

21214230131241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6602623790 (or 6602623784 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 21214230131241 its reverse (14213103241212), we get a palindrome (35427333372453).

The spelling of 21214230131241 in words is "twenty-one trillion, two hundred fourteen billion, two hundred thirty million, one hundred thirty-one thousand, two hundred forty-one".

Divisors: 1 3 7 9 17 21 27 51 63 119 153 189 357 459 1071 3213 6602623757 19807871271 46218366299 59423613813 112244603869 138655098897 178270841439 336733811607 415965296691 785712227083 1010201434821 1247895890073 2357136681249 3030604304463 7071410043747 21214230131241