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1351120356344 = 231131219382781
BaseRepresentation
bin10011101010010101000…
…011001000001111111000
311210011110220022121211102
4103222111003020033320
5134114043302400334
62512410210150532
7166421010352223
oct23522503101770
94704426277742
101351120356344
11481009243580
12199a33582448
139a543cc44c5
14495749d65ba
152522bd2267e
hex13a950c83f8

1351120356344 has 96 divisors (see below), whose sum is σ = 2870512207920. Its totient is φ = 591247872000.

The previous prime is 1351120356317. The next prime is 1351120356347. The reversal of 1351120356344 is 4436530211531.

It is a junction number, because it is equal to n+sod(n) for n = 1351120356298 and 1351120356307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351120356347) 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 23 ways as a sum of consecutive naturals, for example, 16280234 + ... + 16363014.

Almost surely, 21351120356344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351120356344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435256103960).

1351120356344 is an abundant number, since it is smaller than the sum of its proper divisors (1519391851576).

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

1351120356344 is a wasteful number, since it uses less digits than its factorization.

1351120356344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83053 (or 83018 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

Adding to 1351120356344 its reverse (4436530211531), we get a palindrome (5787650567875).

The spelling of 1351120356344 in words is "one trillion, three hundred fifty-one billion, one hundred twenty million, three hundred fifty-six thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 193 248 341 386 682 772 961 1364 1544 1922 2123 2728 3844 4246 5983 7688 8492 10571 11966 16984 21142 23932 42284 47864 65813 82781 84568 131626 165562 185473 263252 331124 370946 526504 662248 741892 910591 1483784 1821182 2040203 2566211 3642364 4080406 5132422 7284728 8160812 10264844 15976733 16321624 20529688 28228321 31953466 56456642 63906932 79552541 112913284 127813864 159105082 175744063 225826568 318210164 351488126 495278723 636420328 702976252 875077951 990557446 1405952504 1750155902 1981114892 3500311804 3962229784 5448065953 7000623608 10896131906 15353640413 21792263812 30707280826 43584527624 61414561652 122829123304 168890044543 337780089086 675560178172 1351120356344