Search a number
-
+
130001203020 = 223513198772011
BaseRepresentation
bin111100100010010101…
…1001110111101001100
3110102120000012100212010
41321010223032331030
54112220301444040
6135415520541220
712251356664463
oct1710453167514
9412500170763
10130001203020
1150151320a67
1221241181810
13c34a206290
1464136dd9da
1535aceeee80
hex1e44acef4c

130001203020 has 96 divisors (see below), whose sum is σ = 412635444480. Its totient is φ = 30316066560.

The previous prime is 130001202977. The next prime is 130001203027. The reversal of 130001203020 is 20302100031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 130001202987 and 130001203005.

It is not an unprimeable number, because it can be changed into a prime (130001203027) 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, 4371186 + ... + 4400825.

It is an arithmetic number, because the mean of its divisors is an integer number (4298285880).

Almost surely, 2130001203020 is an apocalyptic number.

130001203020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130001203020 is an abundant number, since it is smaller than the sum of its proper divisors (282634241460).

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

130001203020 is a wasteful number, since it uses less digits than its factorization.

130001203020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8772055 (or 8772053 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 130001203020 its reverse (20302100031), we get a palindrome (150303303051).

It can be divided in two parts, 13000 and 1203020, that added together give a triangular number (1216020 = T1559).

The spelling of 130001203020 in words is "one hundred thirty billion, one million, two hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 7410 14820 8772011 17544022 26316033 35088044 43860055 52632066 87720110 105264132 114036143 131580165 166668209 175440220 228072286 263160330 333336418 342108429 456144572 500004627 526320660 570180715 666672836 684216858 833341045 1000009254 1140361430 1368433716 1666682090 1710542145 2000018508 2166686717 2280722860 2500023135 3333364180 3421084290 4333373434 5000046270 6500060151 6842168580 8666746868 10000092540 10833433585 13000120302 21666867170 26000240604 32500300755 43333734340 65000601510 130001203020