Search a number
-
+
32133310020 = 223257123120717
BaseRepresentation
bin11101111011010010…
…110110011001000100
310001221102111021120100
4131323102312121010
51011302111410040
622432320204100
72215202425410
oct357322663104
9101842437510
1032133310020
111269a463469
126289469630
133051346716
1417ab8c5d40
15c81070b30
hex77b4b6644

32133310020 has 144 divisors (see below), whose sum is σ = 111491347968. Its totient is φ = 7338435840.

The previous prime is 32133309991. The next prime is 32133310021. The reversal of 32133310020 is 2001333123.

32133310020 is a `hidden beast` number, since 321 + 33 + 310 + 0 + 2 + 0 = 666.

It is a super-2 number, since 2×321333100202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32133309975 and 32133310002.

It is not an unprimeable number, because it can be changed into a prime (32133310021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1540702 + ... + 1561418.

It is an arithmetic number, because the mean of its divisors is an integer number (774245472).

Almost surely, 232133310020 is an apocalyptic number.

32133310020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32133310020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55745673984).

32133310020 is an abundant number, since it is smaller than the sum of its proper divisors (79358037948).

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

32133310020 is a wasteful number, since it uses less digits than its factorization.

32133310020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21970 (or 21965 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 32133310020 its reverse (2001333123), we get a palindrome (34134643143).

The spelling of 32133310020 in words is "thirty-two billion, one hundred thirty-three million, three hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1231 1260 2462 3693 4924 6155 7386 8617 11079 12310 14772 17234 18465 20717 22158 24620 25851 34468 36930 41434 43085 44316 51702 55395 62151 73860 77553 82868 86170 103404 103585 110790 124302 129255 145019 155106 172340 186453 207170 221580 248604 258510 290038 310212 310755 372906 387765 414340 435057 517020 580076 621510 725095 745812 775530 870114 932265 1243020 1305171 1450190 1551060 1740228 1864530 2175285 2610342 2900380 3729060 4350570 5220684 6525855 8701140 13051710 25502627 26103420 51005254 76507881 102010508 127513135 153015762 178518389 229523643 255026270 306031524 357036778 382539405 459047286 510052540 535555167 714073556 765078810 892591945 918094572 1071110334 1147618215 1530157620 1606665501 1785183890 2142220668 2295236430 2677775835 3213331002 3570367780 4590472860 5355551670 6426662004 8033327505 10711103340 16066655010 32133310020