Search a number
-
+
130000111120 = 245111773119039
BaseRepresentation
bin111100100010010011…
…1000100011000010000
3110102112221010220001101
41321010213010120100
54112220012023440
6135415441314144
712251344466215
oct1710447043020
9412487126041
10130000111120
1150150745670
1221240935954
13c349c13299
1464134d7b0c
1535acd8669a
hex1e449c4610

130000111120 has 160 divisors (see below), whose sum is σ = 353908776960. Its totient is φ = 43882168320.

The previous prime is 130000111051. The next prime is 130000111121. The reversal of 130000111120 is 21111000031.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 130000111097 and 130000111106.

It is not an unprimeable number, because it can be changed into a prime (130000111121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1032561 + ... + 1151599.

It is an arithmetic number, because the mean of its divisors is an integer number (2211929856).

Almost surely, 2130000111120 is an apocalyptic number.

130000111120 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 130000111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176954388480).

130000111120 is an abundant number, since it is smaller than the sum of its proper divisors (223908665840).

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

130000111120 is a wasteful number, since it uses less digits than its factorization.

130000111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119153 (or 119147 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 130000111120 its reverse (21111000031), we get a palindrome (151111111151).

The spelling of 130000111120 in words is "one hundred thirty billion, one hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 34 40 44 55 68 73 80 85 88 110 136 146 170 176 187 220 272 292 340 365 374 440 584 680 730 748 803 880 935 1168 1241 1360 1460 1496 1606 1870 2482 2920 2992 3212 3740 4015 4964 5840 6205 6424 7480 8030 9928 12410 12848 13651 14960 16060 19856 24820 27302 32120 49640 54604 64240 68255 99280 109208 119039 136510 218416 238078 273020 476156 546040 595195 952312 1092080 1190390 1309429 1904624 2023663 2380780 2618858 4047326 4761560 5237716 6547145 8094652 8689847 9523120 10118315 10475432 13094290 16189304 17379694 20236630 20950864 22260293 26188580 32378608 34759388 40473260 43449235 44520586 52377160 69518776 80946520 86898470 89041172 95588317 104754320 111301465 139037552 147727399 161893040 173796940 178082344 191176634 222602930 295454798 347593880 356164688 382353268 445205860 477941585 590909596 695187760 738636995 764706536 890411720 955883170 1181819192 1477273990 1529413072 1625001389 1780823440 1911766340 2363638384 2954547980 3250002778 3823532680 5909095960 6500005556 7647065360 8125006945 11818191920 13000011112 16250013890 26000022224 32500027780 65000055560 130000111120