Search a number
-
+
130001002300 = 225213253145139
BaseRepresentation
bin111100100010010101…
…0011101111100111100
3110102112222211011112001
41321010222131330330
54112220224033200
6135415512352044
712251355200341
oct1710452357474
9412488734461
10130001002300
11501511a4184
12212410a5624
13c34a165b00
14641368a7c8
1535aceb076a
hex1e44a9df3c

130001002300 has 108 divisors (see below), whose sum is σ = 311237345160. Its totient is φ = 47094378240.

The previous prime is 130001002297. The next prime is 130001002303. The reversal of 130001002300 is 3200100031.

It is an interprime number because it is at equal distance from previous prime (130001002297) and next prime (130001002303).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130001002303) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 823131 + ... + 968269.

It is an arithmetic number, because the mean of its divisors is an integer number (2881827270).

Almost surely, 2130001002300 is an apocalyptic number.

130001002300 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 130001002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155618672580).

130001002300 is an abundant number, since it is smaller than the sum of its proper divisors (181236342860).

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

130001002300 is a wasteful number, since it uses less digits than its factorization.

130001002300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145232 (or 145212 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 130001002300 its reverse (3200100031), we get a palindrome (133201102331).

The spelling of 130001002300 in words is "one hundred thirty billion, one million, two thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 169 212 260 265 325 338 530 650 676 689 845 1060 1300 1325 1378 1690 2650 2756 3380 3445 4225 5300 6890 8450 8957 13780 16900 17225 17914 34450 35828 44785 68900 89570 145139 179140 223925 290278 447850 580556 725695 895700 1451390 1886807 2902780 3628475 3773614 7256950 7547228 7692367 9434035 14513900 15384734 18868070 24528491 30769468 37736140 38461835 47170175 49056982 76923670 94340350 98113964 100000771 122642455 153847340 188680700 192309175 200001542 245284910 384618350 400003084 490569820 500003855 613212275 769236700 1000007710 1226424550 1300010023 2000015420 2452849100 2500019275 2600020046 5000038550 5200040092 6500050115 10000077100 13000100230 26000200460 32500250575 65000501150 130001002300