Search a number
-
+
103301322301332 = 223219314867778109
BaseRepresentation
bin10111011111001110110110…
…100111101101111110010100
3111112202111202202122200220100
4113133032312213231332110
5102014442102002120312
61003411550004534100
730521163031534641
oct2737166647557624
9445674682580810
10103301322301332
112aa07932419771
12b7045a39b1330
13458437171a46c
141b71b4c6d4dc8
15be218781a5dc
hex5df3b69edf94

103301322301332 has 36 divisors (see below), whose sum is σ = 262475754753940. Its totient is φ = 34255360760832.

The previous prime is 103301322301319. The next prime is 103301322301361. The reversal of 103301322301332 is 233103223103301.

103301322301332 is a `hidden beast` number, since 1 + 0 + 3 + 3 + 0 + 1 + 3 + 22 + 301 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32047532390916 + 71253789910416 = 5661054^2 + 8441196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 103301322301296 and 103301322301305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7433882107 + ... + 7433896002.

Almost surely, 2103301322301332 is an apocalyptic number.

103301322301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103301322301332 is an abundant number, since it is smaller than the sum of its proper divisors (159174432452608).

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

103301322301332 is a wasteful number, since it uses less digits than its factorization.

103301322301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14867778312 (or 14867778307 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 103301322301332 its reverse (233103223103301), we get a palindrome (336404545404633).

The spelling of 103301322301332 in words is "one hundred three trillion, three hundred one billion, three hundred twenty-two million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 14867778109 29735556218 44603334327 59471112436 89206668654 133810002981 178413337308 267620005962 535240011924 2869481175037 5738962350074 8608443525111 11477924700148 17216887050222 25825330575333 34433774100444 51650661150666 103301322301332