Search a number
-
+
201432134120 = 23572102771497
BaseRepresentation
bin1011101110011001001…
…0100111000111101000
3201020221011002122011212
42323212102213013220
511300013111242440
6232311525412252
720360450614100
oct2734622470750
9636834078155
10201432134120
1178477208818
123305726a088
1315cc1c3c109
149a6c39a200
15538e065465
hex2ee64a71e8

201432134120 has 48 divisors (see below), whose sum is σ = 527217784740. Its totient is φ = 69062445312.

The previous prime is 201432134107. The next prime is 201432134129. The reversal of 201432134120 is 21431234102.

It can be written as a sum of positive squares in 2 ways, for example, as 184234959076 + 17197175044 = 429226^2 + 131138^2 .

It is a super-2 number, since 2×2014321341202 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (201432134129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51383789 + ... + 51387708.

Almost surely, 2201432134120 is an apocalyptic number.

201432134120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201432134120 is an abundant number, since it is smaller than the sum of its proper divisors (325785650620).

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

201432134120 is a wasteful number, since it uses less digits than its factorization.

201432134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102771522 (or 102771511 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 201432134120 its reverse (21431234102), we get a palindrome (222863368222).

The spelling of 201432134120 in words is "two hundred one billion, four hundred thirty-two million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 102771497 205542994 411085988 513857485 719400479 822171976 1027714970 1438800958 2055429940 2877601916 3597002395 4110859880 5035803353 5755203832 7194004790 10071606706 14388009580 20143213412 25179016765 28776019160 40286426824 50358033530 100716067060 201432134120