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340430221131 = 371113181626317
BaseRepresentation
bin1001111010000110011…
…10001110111101001011
31012112201011112001200120
410331003032032331023
521034200114034011
6420220321034323
733411115064220
oct4750316167513
91175634461616
10340430221131
11121414a918a0
1255b894859a3
1326144074290
14126968dd947
158cc6d28a06
hex4f4338ef4b

340430221131 has 64 divisors (see below), whose sum is σ = 612809573376. Its totient is φ = 162341107200.

The previous prime is 340430221129. The next prime is 340430221177. The reversal of 340430221131 is 131122034043.

It is a happy number.

It is not a de Polignac number, because 340430221131 - 21 = 340430221129 is a prime.

It is a super-2 number, since 2×3404302211312 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (340430221111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 230385 + ... + 856701.

It is an arithmetic number, because the mean of its divisors is an integer number (9575149584).

Almost surely, 2340430221131 is an apocalyptic number.

340430221131 is a deficient number, since it is larger than the sum of its proper divisors (272379352245).

340430221131 is a wasteful number, since it uses less digits than its factorization.

340430221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626532.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 340430221131 its reverse (131122034043), we get a palindrome (471552255174).

The spelling of 340430221131 in words is "three hundred forty billion, four hundred thirty million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 39 77 91 143 181 231 273 429 543 1001 1267 1991 2353 3003 3801 5973 7059 13937 16471 25883 41811 49413 77649 181181 543543 626317 1878951 4384219 6889487 8142121 13152657 20668461 24426363 48226409 56994847 89563331 113363377 144679227 170984541 268689993 340090131 626943317 793543639 1246997147 1473723901 1880829951 2380630917 3740991441 4421171703 8728980029 10316067307 16210962911 26186940087 30948201921 48632888733 113476740377 340430221131