Search a number
-
+
304312141213403 = 291071574211483733
BaseRepresentation
bin100010100110001010011000…
…1000100111110111011011011
31110220110221211100101212020212
41011030110301010332323123
5304341322231122312103
62555115022343441335
7121045553355145301
oct10514246104767333
91426427740355225
10304312141213403
1188a6606634a754
122a16989445624b
13100a568650739b
145520b01574271
15252acccd3e7d8
hex114c53113eedb

304312141213403 has 32 divisors (see below), whose sum is σ = 320531412116160. Its totient is φ = 288531510059520.

The previous prime is 304312141213369. The next prime is 304312141213427.

304312141213403 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-304312141213403 is a prime.

It is a super-2 number, since 2×3043121412134032 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 304312141213403.

It is not an unprimeable number, because it can be changed into a prime (304312141210403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 204357125 + ... + 205840857.

It is an arithmetic number, because the mean of its divisors is an integer number (10016606628630).

Almost surely, 2304312141213403 is an apocalyptic number.

304312141213403 is a deficient number, since it is larger than the sum of its proper divisors (16219270902757).

304312141213403 is a wasteful number, since it uses less digits than its factorization.

304312141213403 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1484447.

The product of its (nonzero) digits is 20736, while the sum is 32.

The spelling of 304312141213403 in words is "three hundred four trillion, three hundred twelve billion, one hundred forty-one million, two hundred thirteen thousand, four hundred three".

Divisors: 1 29 107 157 421 3103 4553 12209 16799 45047 66097 487171 1306363 1483733 1916813 7072379 43028257 158759431 205098991 232946081 624651593 4604023499 6755436349 18114896197 24925230667 66837720451 98070300101 722831689343 1938293893079 2844038702929 10493522110807 304312141213403