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1520052053130 = 234513241598981
BaseRepresentation
bin10110000111101010001…
…010011010010010001010
312101022112001002222110000
4112013222022122102022
5144401031311200010
63122145142503430
7214551210160602
oct26075212322212
95338461088400
101520052053130
11536717835726
1220671a434b76
13b0456817cc0
14537dc821c02
15298179987c0
hex161ea29a48a

1520052053130 has 160 divisors (see below), whose sum is σ = 4419926512848. Its totient is φ = 372613478400.

The previous prime is 1520052053111. The next prime is 1520052053147. The reversal of 1520052053130 is 313502500251.

It is a happy number.

1520052053130 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 0 + 520 + 5 + 3 + 130 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 773975898081 + 746076155049 = 879759^2 + 863757^2 .

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 = 1520052053094 and 1520052053103.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2238240 + ... + 2837220.

Almost surely, 21520052053130 is an apocalyptic number.

1520052053130 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 1520052053130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2209963256424).

1520052053130 is an abundant number, since it is smaller than the sum of its proper divisors (2899874459718).

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

1520052053130 is a wasteful number, since it uses less digits than its factorization.

1520052053130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 599254 (or 599245 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 1520052053130 its reverse (313502500251), we get a palindrome (1833554553381).

The spelling of 1520052053130 in words is "one trillion, five hundred twenty billion, fifty-two million, fifty-three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 81 90 117 130 135 162 195 234 241 270 351 390 405 482 585 702 723 810 1053 1170 1205 1446 1755 2106 2169 2410 3133 3510 3615 4338 5265 6266 6507 7230 9399 10530 10845 13014 15665 18798 19521 21690 28197 31330 32535 39042 46995 56394 65070 84591 93990 97605 140985 169182 195210 253773 281970 422955 507546 598981 845910 1197962 1268865 1796943 2537730 2994905 3593886 5390829 5989810 7786753 8984715 10781658 15573506 16172487 17969430 23360259 26954145 32344974 38933765 46720518 48517461 53908290 70080777 77867530 80862435 97034922 116801295 140161554 144354421 161724870 210242331 233602590 242587305 288708842 350403885 420484662 433063263 485174610 630726993 700807770 721772105 866126526 1051211655 1261453986 1299189789 1443544210 1876607473 2102423310 2165316315 2598379578 3153634965 3753214946 3897569367 4330632630 5629822419 6307269930 6495948945 7795138734 9383037365 11259644838 11692708101 12991897890 16889467257 18766074730 19487846835 23385416202 28149112095 33778934514 38975693670 50668401771 56298224190 58463540505 84447336285 101336803542 116927081010 152005205313 168894672570 253342008855 304010410626 506684017710 760026026565 1520052053130