Search a number
-
+
3132103232112 = 243292305997579
BaseRepresentation
bin101101100100111111111…
…001101000101001110000
3102002102111122210210010120
4231210333321220221300
5402304021411411422
610354511322130240
7442200303126351
oct55447771505160
912072448723116
103132103232112
11aa8354691268
12427033050980
1319948238477a
14ab84784dd28
155671705c45c
hex2d93fe68a70

3132103232112 has 80 divisors (see below), whose sum is σ = 8370724656000. Its totient is φ = 1007979178752.

The previous prime is 3132103232101. The next prime is 3132103232179. The reversal of 3132103232112 is 2112323012313.

It is a super-3 number, since 3×31321032321123 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32049339 + ... + 32146917.

It is an arithmetic number, because the mean of its divisors is an integer number (104634058200).

Almost surely, 23132103232112 is an apocalyptic number.

It is an amenable number.

3132103232112 is an abundant number, since it is smaller than the sum of its proper divisors (5238621423888).

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

3132103232112 is a wasteful number, since it uses less digits than its factorization.

3132103232112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120678 (or 120672 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3132103232112 its reverse (2112323012313), we get a palindrome (5244426244425).

The spelling of 3132103232112 in words is "three trillion, one hundred thirty-two billion, one hundred three million, two hundred thirty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 1392 23059 46118 69177 92236 97579 138354 184472 195158 276708 292737 368944 390316 553416 585474 668711 780632 1106832 1170948 1337422 1561264 2006133 2341896 2674844 2829791 4012266 4683792 5349688 5659582 8024532 8489373 10699376 11319164 16049064 16978746 22638328 32098128 33957492 45276656 67914984 135829968 2250074161 4500148322 6750222483 9000296644 13500444966 18000593288 27000889932 36001186576 54001779864 65252150669 108003559728 130504301338 195756452007 261008602676 391512904014 522017205352 783025808028 1044034410704 1566051616056 3132103232112