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1351055721340 = 22513191671637683
BaseRepresentation
bin10011101010010001001…
…100100100001101111100
311210011022101200211021101
4103222101030210031330
5134113430231040330
62512355540542444
7166416264102043
oct23522114441574
94704271624241
101351055721340
11480a85807316
12199a159b1a24
139a5337b3940
144956a1ad55a
15252263064ca
hex13a9132437c

1351055721340 has 96 divisors (see below), whose sum is σ = 3235539525120. Its totient is φ = 469765806336.

The previous prime is 1351055721263. The next prime is 1351055721347. The reversal of 1351055721340 is 431275501531.

It is a self number, because there is not a number n which added to its sum of digits gives 1351055721340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351055721347) 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 31 ways as a sum of consecutive naturals, for example, 6139 + ... + 1643821.

It is an arithmetic number, because the mean of its divisors is an integer number (33703536720).

Almost surely, 21351055721340 is an apocalyptic number.

1351055721340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1351055721340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1617769762560).

1351055721340 is an abundant number, since it is smaller than the sum of its proper divisors (1884483803780).

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

1351055721340 is a wasteful number, since it uses less digits than its factorization.

1351055721340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637891 (or 1637889 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 37.

The spelling of 1351055721340 in words is "one trillion, three hundred fifty-one billion, fifty-five million, seven hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 19 20 26 38 52 65 76 95 130 167 190 247 260 334 380 494 668 835 988 1235 1670 2171 2470 3173 3340 4342 4940 6346 8684 10855 12692 15865 21710 31730 41249 43420 63460 82498 164996 206245 412490 824980 1637683 3275366 6550732 8188415 16376830 21289879 31115977 32753660 42579758 62231954 85159516 106449395 124463908 155579885 212898790 273493061 311159770 404507701 425797580 546986122 622319540 809015402 1093972244 1367465305 1618030804 2022538505 2734930610 3555409793 4045077010 5196368159 5469861220 7110819586 8090154020 10392736318 14221639172 17777048965 20785472636 25981840795 35554097930 51963681590 67552786067 71108195860 103927363180 135105572134 270211144268 337763930335 675527860670 1351055721340