Search a number
-
+
11220212421 = 341197197659
BaseRepresentation
bin10100111001100011…
…01101101011000101
31001221221210211220000
422130301231223011
5140434333244141
65053212031513
7545022142365
oct123461555305
931857724800
1011220212421
114838576730
122211762599
13109a73a962
147862349a5
1545a08c5b6
hex29cc6dac5

11220212421 has 80 divisors (see below), whose sum is σ = 18595241280. Its totient is φ = 6685701120.

The previous prime is 11220212407. The next prime is 11220212459. The reversal of 11220212421 is 12421202211.

11220212421 is a `hidden beast` number, since 1 + 1 + 220 + 21 + 2 + 421 = 666.

It is not a de Polignac number, because 11220212421 - 25 = 11220212389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 11220212394 and 11220212403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11220212401) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17025790 + ... + 17026448.

It is an arithmetic number, because the mean of its divisors is an integer number (232440516).

Almost surely, 211220212421 is an apocalyptic number.

11220212421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11220212421 is a deficient number, since it is larger than the sum of its proper divisors (7375028859).

11220212421 is a wasteful number, since it uses less digits than its factorization.

11220212421 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11220212421 its reverse (12421202211), we get a palindrome (23641414632).

The spelling of 11220212421 in words is "eleven billion, two hundred twenty million, two hundred twelve thousand, four hundred twenty-one".

Divisors: 1 3 9 11 27 33 81 97 99 197 291 297 591 659 873 891 1067 1773 1977 2167 2619 3201 5319 5931 6501 7249 7857 9603 15957 17793 19109 19503 21747 28809 53379 57327 58509 63923 65241 86427 129823 171981 175527 191769 195723 210199 389469 515943 575307 587169 630597 703153 1168407 1428053 1547829 1725921 1891791 2109459 3505221 4284159 5177763 5675373 6328377 10515663 12592831 12852477 17026119 18985131 37778493 38557431 56955393 113335479 115672293 138521141 340006437 415563423 1020019311 1246690269 3740070807 11220212421