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3130131121434 = 23228331110911811
BaseRepresentation
bin101101100011001010010…
…110101000010100011010
3102002020102012221011212100
4231203022112220110122
5402241002031341214
610353543513024230
7442100365352502
oct55431226502432
912066365834770
103130131121434
11aa7532463329
124267826b5076
13199229923785
14ab6db974a02
155664dd58309
hex2d8ca5a851a

3130131121434 has 96 divisors (see below), whose sum is σ = 6837831157248. Its totient is φ = 1034825508000.

The previous prime is 3130131121393. The next prime is 3130131121483. The reversal of 3130131121434 is 4341211310313.

3130131121434 is a `hidden beast` number, since 3 + 1 + 301 + 311 + 2 + 1 + 43 + 4 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3130131121398 and 3130131121407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1728398389 + ... + 1728400199.

It is an arithmetic number, because the mean of its divisors is an integer number (71227407888).

Almost surely, 23130131121434 is an apocalyptic number.

3130131121434 is an abundant number, since it is smaller than the sum of its proper divisors (3707700035814).

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

3130131121434 is a wasteful number, since it uses less digits than its factorization.

3130131121434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3501 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 3130131121434 its reverse (4341211310313), we get a palindrome (7471342431747).

The spelling of 3130131121434 in words is "three trillion, one hundred thirty billion, one hundred thirty-one million, one hundred twenty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 283 311 566 622 849 933 1091 1698 1811 1866 2182 2547 2799 3273 3622 5094 5433 5598 6546 9819 10866 16299 19638 32598 88013 176026 264039 308753 339301 512513 528078 563221 617506 678602 792117 926259 1017903 1025026 1126442 1537539 1584234 1689663 1852518 1975801 2035806 2778777 3053709 3075078 3379326 3951602 4612617 5068989 5557554 5927403 6107418 9225234 10137978 11854806 17782209 35564418 96022183 159391543 192044366 288066549 318783086 478174629 559151683 576133098 614474111 864199647 956349258 1118303366 1228948222 1434523887 1677455049 1728399294 1843422333 2869047774 3354910098 3686844666 5032365147 5530266999 10064730294 11060533998 173896173413 347792346826 521688520239 1043377040478 1565065560717 3130131121434