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1054205112345 = 357112178946381
BaseRepresentation
bin11110101011100111000…
…01010111000000011001
310201210002100220102210120
433111303201113000121
5114233003002043340
62124143430103453
7136110120414360
oct17256341270031
93653070812716
101054205112345
113770a4337100
1215038b1aab89
13785462b4208
14390494407d7
151c65039a4d0
hexf573857019

1054205112345 has 96 divisors (see below), whose sum is σ = 2120095246080. Its totient is φ = 437856883200.

The previous prime is 1054205112319. The next prime is 1054205112349. The reversal of 1054205112345 is 5432115024501.

1054205112345 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1054205112345 - 221 = 1054203015193 is a prime.

It is a super-2 number, since 2×10542051123452 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1054205112349) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22706055 + ... + 22752435.

It is an arithmetic number, because the mean of its divisors is an integer number (22084325480).

Almost surely, 21054205112345 is an apocalyptic number.

1054205112345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1054205112345 is an abundant number, since it is smaller than the sum of its proper divisors (1065890133735).

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

1054205112345 is a wasteful number, since it uses less digits than its factorization.

1054205112345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48207 (or 48196 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 1054205112345 in words is "one trillion, fifty-four billion, two hundred five million, one hundred twelve thousand, three hundred forty-five".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 121 165 231 363 385 605 847 1155 1789 1815 2541 4235 5367 8945 12523 12705 19679 26835 37569 46381 59037 62615 98395 137753 139143 187845 216469 231905 295185 324667 413259 510191 649407 688765 695715 974001 1082345 1515283 1530573 1623335 2066295 2550955 3247035 3571337 4545849 4870005 5612101 7576415 7652865 10714011 16836303 17856685 22729245 28060505 39284707 53570055 82975609 84181515 117854121 196423535 248926827 414878045 580829263 589270605 912731699 1244634135 1742487789 2738195097 2904146315 4563658495 6389121893 8712438945 10040048689 13690975485 19167365679 30120146067 31945609465 50200243445 70280340823 95836828395 150600730335 210841022469 351401704115 1054205112345