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314311103403011 = 111322356313057021
BaseRepresentation
bin100011101110111010100000…
…1101010101101010000000011
31112012212211220012210212212022
41013131311001222231100003
5312144133114432344021
63032252305540552055
7123130141102343411
oct10735650152552003
91465784805725768
10314311103403011
1191170654885430
122b3037206b262b
131064c543647700
145788a4a9122b1
152650e46ad31ab
hex11ddd41aad403

314311103403011 has 48 divisors (see below), whose sum is σ = 388120710143232. Its totient is φ = 251841712636800.

The previous prime is 314311103402981. The next prime is 314311103403019. The reversal of 314311103403011 is 110304301113413.

It is a de Polignac number, because none of the positive numbers 2k-314311103403011 is a prime.

It is a super-2 number, since 2×3143111034030112 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (314311103403019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17543681 + ... + 30600701.

It is an arithmetic number, because the mean of its divisors is an integer number (8085848127984).

Almost surely, 2314311103403011 is an apocalyptic number.

314311103403011 is a deficient number, since it is larger than the sum of its proper divisors (73809606740221).

314311103403011 is a wasteful number, since it uses less digits than its factorization.

314311103403011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13057644 (or 13057631 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 314311103403011 its reverse (110304301113413), we get a palindrome (424615404516424).

The spelling of 314311103403011 in words is "three hundred fourteen trillion, three hundred eleven billion, one hundred three million, four hundred three thousand, eleven".

Divisors: 1 11 13 23 143 169 253 299 563 1859 3289 3887 6193 7319 12949 42757 80509 95147 142439 168337 1046617 1851707 2188381 13057021 24072191 143627231 169741273 300311483 1867154003 2206636549 3303426313 3904049279 7351102823 24273002039 42944542069 50752640627 80862131053 95564336699 169075364929 558279046897 1051207703689 1242336377087 1859829014219 2197979744077 13665700147957 24177777184847 28573736673001 314311103403011