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3231981012 = 22313231101509
BaseRepresentation
bin1100000010100100…
…0001110111010100
322100020112122110110
43000221001313110
523104341343022
61252412323020
7143043246111
oct30051016724
98306478413
103231981012
111409407197
12762473470
133c6788400
14229351908
1513db1900c
hexc0a41dd4

3231981012 has 144 divisors (see below), whose sum is σ = 8529615360. Its totient is φ = 950976000.

The previous prime is 3231980957. The next prime is 3231981013. The reversal of 3231981012 is 2101891323.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3231981013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6349414 + ... + 6349922.

It is an arithmetic number, because the mean of its divisors is an integer number (59233440).

Almost surely, 23231981012 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 3231981012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264807680).

3231981012 is an abundant number, since it is smaller than the sum of its proper divisors (5297634348).

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

3231981012 is a wasteful number, since it uses less digits than its factorization.

3231981012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 3231981012 is about 56850.5146150851. The cubic root of 3231981012 is about 1478.5054629249.

The spelling of 3231981012 in words is "three billion, two hundred thirty-one million, nine hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 101 124 156 169 186 202 303 338 372 403 404 507 509 606 676 806 1014 1018 1209 1212 1313 1527 1612 2028 2036 2418 2626 3054 3131 3939 4836 5239 5252 6108 6262 6617 7878 9393 10478 12524 13234 15717 15756 15779 17069 18786 19851 20956 26468 31434 31558 34138 37572 39702 40703 47337 51207 51409 62868 63116 68276 79404 81406 86021 94674 102414 102818 122109 154227 162812 172042 189348 204828 205127 205636 244218 258063 308454 344084 410254 488436 516126 529139 615381 616908 668317 820508 1032252 1058278 1230762 1336634 1587417 1593679 2004951 2116556 2461524 2666651 2673268 3174834 3187358 4009902 4781037 5333302 6349668 6374716 7999953 8019804 8688121 9562074 10666604 15999906 17376242 19124148 20717827 26064363 31999812 34752484 41435654 52128726 62153481 82871308 104257452 124306962 248613924 269331751 538663502 807995253 1077327004 1615990506 3231981012