Search a number
-
+
1054501043130 = 233579197325057
BaseRepresentation
bin11110101100001010010…
…10001111101110111010
310201210211222202021112000
433112011022033232322
5114234104231340010
62124233041001430
7136120342655343
oct17260512175672
93653758667460
101054501043130
113772363912a7
12150452323276
13785926b8aa2
14390768750ca
151c66b3537c0
hexf58528fbba

1054501043130 has 128 divisors (see below), whose sum is σ = 2849154739200. Its totient is φ = 277488986112.

The previous prime is 1054501043093. The next prime is 1054501043147. The reversal of 1054501043130 is 313401054501.

It is a happy number.

1054501043130 is a `hidden beast` number, since 1 + 0 + 545 + 0 + 104 + 3 + 13 + 0 = 666.

It is a super-2 number, since 2×10545010431302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1054501043094 and 1054501043103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42071562 + ... + 42096618.

It is an arithmetic number, because the mean of its divisors is an integer number (22259021400).

Almost surely, 21054501043130 is an apocalyptic number.

1054501043130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054501043130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424577369600).

1054501043130 is an abundant number, since it is smaller than the sum of its proper divisors (1794653696070).

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

1054501043130 is a wasteful number, since it uses less digits than its factorization.

1054501043130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27125 (or 27119 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 1054501043130 its reverse (313401054501), we get a palindrome (1367902097631).

The spelling of 1054501043130 in words is "one trillion, fifty-four billion, five hundred one million, forty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 79 90 135 158 237 270 395 474 711 790 1185 1422 1973 2133 2370 3555 3946 4266 5919 7110 9865 10665 11838 17757 19730 21330 25057 29595 35514 50114 53271 59190 75171 88785 106542 125285 150342 155867 177570 225513 250570 266355 311734 375855 451026 467601 532710 676539 751710 779335 935202 1127565 1353078 1402803 1558670 1979503 2255130 2338005 2805606 3382695 3959006 4208409 4676010 5938509 6765390 7014015 8416818 9897515 11877018 14028030 17815527 19795030 21042045 29692545 35631054 42084090 49437461 53446581 59385090 89077635 98874922 106893162 148312383 178155270 247187305 267232905 296624766 444937149 494374610 534465810 741561915 889874298 1334811447 1483123830 2224685745 2669622894 3905559419 4449371490 6674057235 7811118838 11716678257 13348114470 19527797095 23433356514 35150034771 39055594190 58583391285 70300069542 105450104313 117166782570 175750173855 210900208626 351500347710 527250521565 1054501043130