Search a number
-
+
43312052100 = 223522316693761
BaseRepresentation
bin101000010101100110…
…010111011110000100
311010210111021012211210
4220111212113132010
51202200341131400
631521451331420
73062212240242
oct502546273604
9133714235753
1043312052100
1117406584889
128489150b70
1341132c44c5
14214c403792
1511d766a950
hexa15997784

43312052100 has 144 divisors (see below), whose sum is σ = 130877873280. Its totient is φ = 11038156800.

The previous prime is 43312052089. The next prime is 43312052137. The reversal of 43312052100 is 125021334.

It is a super-2 number, since 2×433120521002 (a number of 22 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 11514220 + ... + 11517980.

It is an arithmetic number, because the mean of its divisors is an integer number (908874120).

Almost surely, 243312052100 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 43312052100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65438936640).

43312052100 is an abundant number, since it is smaller than the sum of its proper divisors (87565821180).

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

43312052100 is a wasteful number, since it uses less digits than its factorization.

43312052100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5470 (or 5463 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 43312052100 its reverse (125021334), we get a palindrome (43437073434).

The spelling of 43312052100 in words is "forty-three billion, three hundred twelve million, fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1669 1725 2300 3338 3450 3761 5007 6676 6900 7522 8345 10014 11283 15044 16690 18805 20028 22566 25035 33380 37610 38387 41725 45132 50070 56415 75220 76774 83450 86503 94025 100140 112830 115161 125175 153548 166900 173006 188050 191935 225660 230322 250350 259509 282075 346012 376100 383870 432515 460644 500700 519018 564150 575805 767740 865030 959675 1038036 1128300 1151610 1297545 1730060 1919350 2162575 2303220 2595090 2879025 3838700 4325150 5190180 5758050 6277109 6487725 8650300 11516100 12554218 12975450 18831327 25108436 25950900 31385545 37662654 62771090 75325308 94156635 125542180 144373507 156927725 188313270 288747014 313855450 376626540 433120521 470783175 577494028 627710900 721867535 866241042 941566350 1443735070 1732482084 1883132700 2165602605 2887470140 3609337675 4331205210 7218675350 8662410420 10828013025 14437350700 21656026050 43312052100