Search a number
-
+
202114200132 = 223313178467999
BaseRepresentation
bin1011110000111011110…
…0011111001001000100
3201022200200112011212000
42330032330133021010
511302412213401012
6232503332425300
720413402232535
oct2741674371104
9638620464760
10202114200132
1178797219039
1233207778230
13160a033c580
149ad4bc668c
1553cdd93ddc
hex2f0ef1f244

202114200132 has 96 divisors (see below), whose sum is σ = 597502080000. Its totient is φ = 58530802176.

The previous prime is 202114200109. The next prime is 202114200143. The reversal of 202114200132 is 231002411202.

It is a happy number.

202114200132 is a `hidden beast` number, since 2 + 0 + 211 + 420 + 0 + 1 + 32 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4210132 + ... + 4257867.

It is an arithmetic number, because the mean of its divisors is an integer number (6223980000).

Almost surely, 2202114200132 is an apocalyptic number.

It is an amenable number.

202114200132 is an abundant number, since it is smaller than the sum of its proper divisors (395387879868).

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

202114200132 is a wasteful number, since it uses less digits than its factorization.

202114200132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8468042 (or 8468034 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 202114200132 its reverse (231002411202), we get a palindrome (433116611334).

The spelling of 202114200132 in words is "two hundred two billion, one hundred fourteen million, two hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 17 18 26 27 34 36 39 51 52 54 68 78 102 108 117 153 156 204 221 234 306 351 442 459 468 612 663 702 884 918 1326 1404 1836 1989 2652 3978 5967 7956 11934 23868 8467999 16935998 25403997 33871996 50807994 76211991 101615988 110083987 143955983 152423982 220167974 228635973 287911966 304847964 330251961 431867949 440335948 457271946 575823932 660503922 863735898 914543892 990755883 1295603847 1321007844 1727471796 1871427779 1981511766 2591207694 2972267649 3742855558 3886811541 3963023532 5182415388 5614283337 5944535298 7485711116 7773623082 11228566674 11889070596 15547246164 16842850011 22457133348 33685700022 50528550033 67371400044 101057100066 202114200132