Search a number
-
+
3003122130200 = 2352234729138053
BaseRepresentation
bin101011101100111000000…
…001110001110100011000
3101122002120202002220220222
4223230320001301310120
5343200343231131300
610215340521335212
7426653110632353
oct53547001616430
911562522086828
103003122130200
11a58687173375
12406037637508
1318a268605b1a
14a54cd81129a
15531b88ae785
hex2bb38071d18

3003122130200 has 96 divisors (see below), whose sum is σ = 7287428887200. Its totient is φ = 1148769346560.

The previous prime is 3003122130193. The next prime is 3003122130221. The reversal of 3003122130200 is 20312213003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21684374 + ... + 21822426.

It is an arithmetic number, because the mean of its divisors is an integer number (75910717575).

Almost surely, 23003122130200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3003122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3643714443600).

3003122130200 is an abundant number, since it is smaller than the sum of its proper divisors (4284306757000).

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

3003122130200 is a wasteful number, since it uses less digits than its factorization.

3003122130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142821 (or 142812 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 3003122130200 its reverse (20312213003), we get a palindrome (3023434343203).

The spelling of 3003122130200 in words is "three trillion, three billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1150 2300 4600 4729 9458 18916 23645 37832 47290 94580 108767 118225 138053 189160 217534 236450 276106 435068 472900 543835 552212 690265 870136 945800 1087670 1104424 1380530 2175340 2719175 2761060 3175219 3451325 4350680 5438350 5522120 6350438 6902650 10876700 12700876 13805300 15876095 21753400 25401752 27610600 31752190 63504380 79380475 127008760 158760950 317521900 635043800 652852637 1305705274 2611410548 3264263185 5222821096 6528526370 13057052740 15015610651 16321315925 26114105480 30031221302 32642631850 60062442604 65285263700 75078053255 120124885208 130570527400 150156106510 300312213020 375390266275 600624426040 750780532550 1501561065100 3003122130200