Search a number
-
+
100232201320 = 23510924779281
BaseRepresentation
bin101110101011001001…
…1100000010001101000
3100120201100120101120121
41131112103200101220
53120233420420240
6114013535533024
710145563440166
oct1352623402150
9316640511517
10100232201320
1139565512419
121751368a174
1395b495c984
144bcbc26236
15291980504a
hex17564e0468

100232201320 has 64 divisors (see below), whose sum is σ = 227707880400. Its totient is φ = 39704739840.

The previous prime is 100232201299. The next prime is 100232201339. The reversal of 100232201320 is 23102232001.

It can be written as a sum of positive squares in 8 ways, for example, as 74768339844 + 25463861476 = 273438^2 + 159574^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100232201294 and 100232201303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10795080 + ... + 10804360.

Almost surely, 2100232201320 is an apocalyptic number.

100232201320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100232201320 is an abundant number, since it is smaller than the sum of its proper divisors (127475679080).

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

100232201320 is a wasteful number, since it uses less digits than its factorization.

100232201320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11878 (or 11874 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100232201320 its reverse (23102232001), we get a palindrome (123334433321).

The spelling of 100232201320 in words is "one hundred billion, two hundred thirty-two million, two hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 109 218 436 545 872 1090 2180 2477 4360 4954 9281 9908 12385 18562 19816 24770 37124 46405 49540 74248 92810 99080 185620 269993 371240 539986 1011629 1079972 1349965 2023258 2159944 2699930 4046516 5058145 5399860 8093032 10116290 10799720 20232580 22989037 40465160 45978074 91956148 114945185 183912296 229890370 459780740 919561480 2505805033 5011610066 10023220132 12529025165 20046440264 25058050330 50116100660 100232201320