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3132133212 = 2231389433521
BaseRepresentation
bin1011101010110000…
…1000111101011100
322002021122212000210
42322230020331130
522403311230322
61234444252420
7140421456465
oct27254107534
98067585023
103132133212
11136800a04a
12734b41110
133abb98c80
14219d9dd6c
15134e9470c
hexbab08f5c

3132133212 has 96 divisors (see below), whose sum is σ = 7992613440. Its totient is φ = 948879360.

The previous prime is 3132133181. The next prime is 3132133231. The reversal of 3132133212 is 2123312313.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6011512 + ... + 6012032.

It is an arithmetic number, because the mean of its divisors is an integer number (83256390).

Almost surely, 23132133212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3132133212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3996306720).

3132133212 is an abundant number, since it is smaller than the sum of its proper divisors (4860480228).

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

3132133212 is a wasteful number, since it uses less digits than its factorization.

3132133212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1063 (or 1061 counting only the distinct ones).

The product of its digits is 648, while the sum is 21.

The square root of 3132133212 is about 55965.4644580030. The cubic root of 3132133212 is about 1463.1204311564.

Adding to 3132133212 its reverse (2123312313), we get a palindrome (5255445525).

The spelling of 3132133212 in words is "three billion, one hundred thirty-two million, one hundred thirty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 89 156 178 267 356 433 521 534 866 1042 1068 1157 1299 1563 1732 2084 2314 2598 3126 3471 4628 5196 5629 6252 6773 6942 11258 13546 13884 16887 20319 22516 27092 33774 38537 40638 46369 67548 77074 81276 92738 115611 139107 154148 185476 225593 231222 278214 451186 462444 500981 556428 602797 676779 902372 1001962 1205594 1353558 1502943 1808391 2003924 2411188 2707116 2932709 3005886 3616782 5865418 6011772 7233564 8798127 11730836 17596254 20077777 35192508 40155554 60233331 80311108 120466662 240933324 261011101 522022202 783033303 1044044404 1566066606 3132133212