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1351304240121 = 32111717931114423
BaseRepresentation
bin10011101010100000000…
…000100101101111111001
311210011221201022212221200
4103222200000211233321
5134114432341140441
62512440335324413
7166425402344433
oct23524000455771
94704851285850
101351304240121
114810a3019140
12199a85080709
139a573128084
14495911c1653
152523d0467b6
hex13aa0025bf9

1351304240121 has 96 divisors (see below), whose sum is σ = 2274625566720. Its totient is φ = 763973721600.

The previous prime is 1351304240119. The next prime is 1351304240131. The reversal of 1351304240121 is 1210424031531.

1351304240121 is a `hidden beast` number, since 1 + 3 + 513 + 0 + 4 + 24 + 0 + 121 = 666.

It is not a de Polignac number, because 1351304240121 - 21 = 1351304240119 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1351304240131) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 93683716 + ... + 93698138.

It is an arithmetic number, because the mean of its divisors is an integer number (23694016320).

Almost surely, 21351304240121 is an apocalyptic number.

1351304240121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1351304240121 is a deficient number, since it is larger than the sum of its proper divisors (923321326599).

1351304240121 is a wasteful number, since it uses less digits than its factorization.

1351304240121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14947 (or 14944 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1351304240121 its reverse (1210424031531), we get a palindrome (2561728271652).

The spelling of 1351304240121 in words is "one trillion, three hundred fifty-one billion, three hundred four million, two hundred forty thousand, one hundred twenty-one".

Divisors: 1 3 9 11 17 33 51 99 153 179 187 311 537 561 933 1611 1683 1969 2799 3043 3421 5287 5907 9129 10263 14423 15861 17721 27387 30789 33473 43269 47583 55669 58157 100419 129807 158653 167007 174471 245191 301257 475959 501021 523413 612359 735573 946373 1427877 1837077 2206719 2581717 2697101 2839119 4485553 5511231 7745151 8091303 8517357 10410103 13456659 23235453 24273909 28398887 31230309 40369977 43889189 49341083 76254401 85196661 93690927 131667567 148023249 228763203 255589983 395002701 444069747 482781079 686289609 802913987 838798411 1448343237 2408741961 2516395233 4345029711 7226225883 7549185699 8832053857 13649537779 26496161571 40948613337 79488484713 122845840011 150144915569 450434746707 1351304240121