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11321131212 = 2234157457487
BaseRepresentation
bin10101000101100101…
…01100000011001100
31002012222201001110000
422202302230003030
5141141202144322
65111215044300
7550356012306
oct124262540314
932188631400
1011321131212
11488a535496
12223b510690
1310b5613711
147957c4976
15463d743ac
hex2a2cac0cc

11321131212 has 120 divisors (see below), whose sum is σ = 29910646304. Its totient is φ = 3733786368.

The previous prime is 11321131207. The next prime is 11321131253. The reversal of 11321131212 is 21213112311.

11321131212 is a `hidden beast` number, since 1 + 1 + 321 + 131 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23246433 + ... + 23246919.

Almost surely, 211321131212 is an apocalyptic number.

11321131212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11321131212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14955323152).

11321131212 is an abundant number, since it is smaller than the sum of its proper divisors (18589515092).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11321131212 is a wasteful number, since it uses less digits than its factorization.

11321131212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1117 (or 1106 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

Adding to 11321131212 its reverse (21213112311), we get a palindrome (32534243523).

The spelling of 11321131212 in words is "eleven billion, three hundred twenty-one million, one hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 457 471 487 628 914 942 974 1371 1413 1461 1828 1884 1948 2742 2826 2922 4113 4239 4383 5484 5652 5844 8226 8478 8766 12339 12717 13149 16452 16956 17532 24678 25434 26298 37017 39447 49356 50868 52596 71749 74034 76459 78894 143498 148068 152918 157788 215247 222559 229377 286996 305836 430494 445118 458754 645741 667677 688131 860988 890236 917508 1291482 1335354 1376262 1937223 2003031 2064393 2582964 2670708 2752524 3874446 4006062 4128786 5811669 6009093 6193179 7748892 8012124 8257572 11623338 12018186 12386358 18027279 23246676 24036372 24772716 34941763 36054558 69883526 72109116 104825289 139767052 209650578 314475867 419301156 628951734 943427601 1257903468 1886855202 2830282803 3773710404 5660565606 11321131212