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130200122220 = 22357887349493
BaseRepresentation
bin111100101000010001…
…0000011001101101100
3110110001212111111200220
41321100202003031230
54113122212402340
6135451344251340
712256323531030
oct1712042031554
9413055444626
10130200122220
11502436359a3
1221297910b50
13c37c4a264c
146431cc01c0
1535c06e3ed0
hex1e5088336c

130200122220 has 96 divisors (see below), whose sum is σ = 417111303168. Its totient is φ = 29726391552.

The previous prime is 130200122219. The next prime is 130200122231. The reversal of 130200122220 is 22221002031.

It is a happy number.

It is a super-2 number, since 2×1302001222202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 130200122220.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197794 + ... + 547286.

It is an arithmetic number, because the mean of its divisors is an integer number (4344909408).

Almost surely, 2130200122220 is an apocalyptic number.

130200122220 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 130200122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208555651584).

130200122220 is an abundant number, since it is smaller than the sum of its proper divisors (286911180948).

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

130200122220 is a wasteful number, since it uses less digits than its factorization.

130200122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350399 (or 350397 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 130200122220 its reverse (22221002031), we get a palindrome (152421124251).

The spelling of 130200122220 in words is "one hundred thirty billion, two hundred million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 887 1774 2661 3548 4435 5322 6209 8870 10644 12418 13305 17740 18627 24836 26610 31045 37254 53220 62090 74508 93135 124180 186270 349493 372540 698986 1048479 1397972 1747465 2096958 2446451 3494930 4193916 4892902 5242395 6989860 7339353 9785804 10484790 12232255 14678706 20969580 24464510 29357412 36696765 48929020 73393530 146787060 310000291 620000582 930000873 1240001164 1550001455 1860001746 2170002037 3100002910 3720003492 4340004074 4650004365 6200005820 6510006111 8680008148 9300008730 10850010185 13020012222 18600017460 21700020370 26040024444 32550030555 43400040740 65100061110 130200122220