Search a number
-
+
3212332213212 = 22331229174113901
BaseRepresentation
bin101110101111101101111…
…010111010001111011100
3102101002120221210022011000
4232233231322322033130
5410112324021310322
610455420335430300
7451040405201343
oct56575572721734
912332527708130
103212332213212
111029384875221
1243a6a3685390
131a3bc9a7cb55
14b1698b92b5a
15588606ac3ac
hex2ebedeba3dc

3212332213212 has 96 divisors (see below), whose sum is σ = 8340432609600. Its totient is φ = 1069214688000.

The previous prime is 3212332213187. The next prime is 3212332213217. The reversal of 3212332213212 is 2123122332123.

3212332213212 is a `hidden beast` number, since 3 + 2 + 1 + 2 + 332 + 2 + 1 + 321 + 2 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3212332213217) 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, 231079462 + ... + 231093362.

It is an arithmetic number, because the mean of its divisors is an integer number (86879506350).

Almost surely, 23212332213212 is an apocalyptic number.

It is an amenable number.

3212332213212 is an abundant number, since it is smaller than the sum of its proper divisors (5128100396388).

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

3212332213212 is a wasteful number, since it uses less digits than its factorization.

3212332213212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16884 (or 16876 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 3212332213212 its reverse (2123122332123), we get a palindrome (5335454545335).

The spelling of 3212332213212 in words is "three trillion, two hundred twelve billion, three hundred thirty-two million, two hundred thirteen thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1229 1741 2458 3482 3687 4916 5223 6964 7374 10446 11061 13901 14748 15669 20892 22122 27802 31338 33183 41703 44244 47007 55604 62676 66366 83406 94014 125109 132732 166812 188028 250218 375327 500436 750654 1501308 2139689 4279378 6419067 8558756 12838134 17084329 19257201 24201641 25676268 34168658 38514402 48403282 51252987 57771603 68337316 72604923 77028804 96806564 102505974 115543206 145209846 153758961 205011948 217814769 231086412 290419692 307517922 435629538 461276883 615035844 653444307 871259076 922553766 1306888614 1845107532 2613777228 29743816789 59487633578 89231450367 118975267156 178462900734 267694351101 356925801468 535388702202 803083053303 1070777404404 1606166106606 3212332213212