Search a number
-
+
300313302211032 = 233119711727323579
BaseRepresentation
bin100010001001000100010001…
…1101100110001100111011000
31110101022200010101022221122220
41010102020203230301213120
5303330313120331223112
62542414005413544040
7120153630405355665
oct10422104354614730
91411280111287586
10300313302211032
1187764179a45860
1229822891345020
13cb755660c86c6
1454233544d0a6c
1524abc88c6898c
hex1112223b319d8

300313302211032 has 64 divisors (see below), whose sum is σ = 827479951804800. Its totient is φ = 90065845079040.

The previous prime is 300313302211009. The next prime is 300313302211051. The reversal of 300313302211032 is 230112203313003.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 300313302210993 and 300313302211011.

It is a congruent number.

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, 5863636182 + ... + 5863687397.

It is an arithmetic number, because the mean of its divisors is an integer number (12929374246950).

Almost surely, 2300313302211032 is an apocalyptic number.

It is an amenable number.

300313302211032 is an abundant number, since it is smaller than the sum of its proper divisors (527166649593768).

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

300313302211032 is a wasteful number, since it uses less digits than its factorization.

300313302211032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11727323696 (or 11727323692 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 300313302211032 its reverse (230112203313003), we get a palindrome (530425505524035).

The spelling of 300313302211032 in words is "three hundred trillion, three hundred thirteen billion, three hundred two million, two hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 97 132 194 264 291 388 582 776 1067 1164 2134 2328 3201 4268 6402 8536 12804 25608 11727323579 23454647158 35181970737 46909294316 70363941474 93818588632 129000559369 140727882948 258001118738 281455765896 387001678107 516002237476 774003356214 1032004474952 1137550387163 1548006712428 2275100774326 3096013424856 3412651161489 4550201548652 6825302322978 9100403097304 12513054258793 13650604645956 25026108517586 27301209291912 37539162776379 50052217035172 75078325552758 100104434070344 150156651105516 300313302211032