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314301402121113 = 321119737643210533
BaseRepresentation
bin100011101110110101111111…
…1011011010000001110011001
31112012211220212010010200221100
41013131223333123100032121
5312144003232420333423
63032244023144502013
7123126345512661621
oct10735537733201631
91465756763120840
10314301402121113
1191167526749790
122b30187377a909
131064b6587c9714
1457883aa30b881
152650a7a07e343
hex11ddaff6d0399

314301402121113 has 48 divisors (see below), whose sum is σ = 495581021941824. Its totient is φ = 190363337566080.

The previous prime is 314301402121039. The next prime is 314301402121129. The reversal of 314301402121113 is 311121204103413.

314301402121113 is a `hidden beast` number, since 3 + 1 + 4 + 30 + 1 + 402 + 1 + 211 + 13 = 666.

It is not a de Polignac number, because 314301402121113 - 28 = 314301402120857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (314301402121313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1492778995 + ... + 1492989527.

It is an arithmetic number, because the mean of its divisors is an integer number (10324604623788).

Almost surely, 2314301402121113 is an apocalyptic number.

314301402121113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314301402121113 is a deficient number, since it is larger than the sum of its proper divisors (181279619820711).

314301402121113 is a wasteful number, since it uses less digits than its factorization.

314301402121113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220166 (or 220163 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 314301402121113 its reverse (311121204103413), we get a palindrome (625422606224526).

The spelling of 314301402121113 in words is "three hundred fourteen trillion, three hundred one billion, four hundred two million, one hundred twenty-one thousand, one hundred thirteen".

Divisors: 1 3 9 11 33 99 1973 5919 7643 17757 21703 22929 65109 68787 84073 195327 210533 252219 631599 756657 1894797 2315863 6947589 15079639 20842767 45238917 135716751 165876029 415381609 497628087 1246144827 1492884261 1609103719 3738434481 4569197699 4827311157 13707593097 14481933471 17700140909 41122779291 53100422727 159301268181 3174761637587 9524284912761 28572854738283 34922378013457 104767134040371 314301402121113