Search a number
-
+
32131312002 = 232431011392957
BaseRepresentation
bin11101111011001011…
…001110100110000010
310001221021201202210200
4131323023032212002
51011301103441002
622432205310030
72215146434316
oct357313164602
9101837652720
1032131312002
1112699319309
126288865316
133050ac716a
1417ab525b46
15c80cc8b1c
hex77b2ce982

32131312002 has 96 divisors (see below), whose sum is σ = 72484251840. Its totient is φ = 10279785600.

The previous prime is 32131312001. The next prime is 32131312013. The reversal of 32131312002 is 20021313123.

32131312002 is a `hidden beast` number, since 321 + 31 + 312 + 0 + 0 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (32131312001) 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, 10864708 + ... + 10867664.

It is an arithmetic number, because the mean of its divisors is an integer number (755044290).

Almost surely, 232131312002 is an apocalyptic number.

32131312002 is an abundant number, since it is smaller than the sum of its proper divisors (40352939838).

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

32131312002 is a wasteful number, since it uses less digits than its factorization.

32131312002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3245 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 32131312002 its reverse (20021313123), we get a palindrome (52152625125).

The spelling of 32131312002 in words is "thirty-two billion, one hundred thirty-one million, three hundred twelve thousand, two".

Divisors: 1 2 3 6 9 18 43 86 101 129 139 202 258 278 303 387 417 606 774 834 909 1251 1818 2502 2957 4343 5914 5977 8686 8871 11954 13029 14039 17742 17931 26058 26613 28078 35862 39087 42117 53226 53793 78174 84234 107586 126351 127151 252702 254302 298657 381453 411023 597314 603677 762906 822046 895971 1144359 1207354 1233069 1791942 1811031 2288718 2466138 2687913 3622062 3699207 5375826 5433093 7398414 10866186 12842251 17673989 25684502 35347978 38526753 41513323 53021967 77053506 83026646 106043934 115580259 124539969 159065901 231160518 249079938 318131802 373619907 747239814 1785072889 3570145778 5355218667 10710437334 16065656001 32131312002