Search a number
-
+
201332120031 = 32773103643661
BaseRepresentation
bin1011101110000001010…
…1000101100111011111
3201020200011220101122100
42323200111011213133
511244312010320111
6232253554020143
720355124532610
oct2734025054737
9636604811570
10201332120031
1178425807749
1233029877653
1315ca72c2093
149a5cda3c07
1553853ab756
hex2ee05459df

201332120031 has 96 divisors (see below), whose sum is σ = 341226109952. Its totient is φ = 112024788480.

The previous prime is 201332119993. The next prime is 201332120057. The reversal of 201332120031 is 130021233102.

It is not a de Polignac number, because 201332120031 - 213 = 201332111839 is a prime.

It is a super-2 number, since 2×2013321200312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201332119986 and 201332120013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201332122031) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 304586841 + ... + 304587501.

Almost surely, 2201332120031 is an apocalyptic number.

201332120031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201332120031 is a deficient number, since it is larger than the sum of its proper divisors (139893989921).

201332120031 is a wasteful number, since it uses less digits than its factorization.

201332120031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1490 counting only the distinct ones).

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

Adding to 201332120031 its reverse (130021233102), we get a palindrome (331353353133).

The spelling of 201332120031 in words is "two hundred one billion, three hundred thirty-two million, one hundred twenty thousand, thirty-one".

Divisors: 1 3 7 9 21 63 73 103 219 309 511 643 657 661 721 927 1533 1929 1983 2163 4501 4599 4627 5787 5949 6489 7519 13503 13881 22557 40509 41643 46939 48253 52633 66229 67671 68083 140817 144759 157899 198687 204249 328573 337771 422451 425023 434277 463603 473697 476581 596061 612747 985719 1013313 1275069 1390809 1429743 2957157 2975161 3039939 3825207 4172427 4289229 4834717 4970059 8925483 14504151 14910177 26776449 31026679 33843019 34790413 43512453 43777369 44730531 93080037 101529057 104371239 131332107 217186753 279240111 304587171 306441583 313113717 393996321 651560259 919324749 1954680777 2757974247 3195747937 9587243811 22370235559 28761731433 67110706677 201332120031