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2241034203120 = 2435172512188339
BaseRepresentation
bin100000100111001000000…
…011000010111111110000
321221020111112020000221020
4200213020003002333300
5243204114223444440
64433303352255440
7320623626266226
oct40471003027760
97836445200836
102241034203120
11794465425149
123023b19a1580
13133436c8a0bb
147a676630b16
153d463b243d0
hex209c80c2ff0

2241034203120 has 160 divisors (see below), whose sum is σ = 7385174818560. Its totient is φ = 560214528000.

The previous prime is 2241034203101. The next prime is 2241034203127. The reversal of 2241034203120 is 213024301422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241034203127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70090 + ... + 2118249.

It is an arithmetic number, because the mean of its divisors is an integer number (46157342616).

Almost surely, 22241034203120 is an apocalyptic number.

2241034203120 is a gapful number since it is divisible by the number (20) 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 2241034203120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692587409280).

2241034203120 is an abundant number, since it is smaller than the sum of its proper divisors (5144140615440).

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

2241034203120 is a wasteful number, since it uses less digits than its factorization.

2241034203120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188623 (or 2188617 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2241034203120 its reverse (213024301422), we get a palindrome (2454058504542).

The spelling of 2241034203120 in words is "two trillion, two hundred forty-one billion, thirty-four million, two hundred three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 251 255 272 340 408 502 510 680 753 816 1004 1020 1255 1360 1506 2008 2040 2510 3012 3765 4016 4080 4267 5020 6024 7530 8534 10040 12048 12801 15060 17068 20080 21335 25602 30120 34136 42670 51204 60240 64005 68272 85340 102408 128010 170680 204816 256020 341360 512040 1024080 2188339 4376678 6565017 8753356 10941695 13130034 17506712 21883390 26260068 32825085 35013424 37201763 43766780 52520136 65650170 74403526 87533560 105040272 111605289 131300340 148807052 175067120 186008815 223210578 262600680 297614104 372017630 446421156 525201360 549273089 558026445 595228208 744035260 892842312 1098546178 1116052890 1488070520 1647819267 1785684624 2197092356 2232105780 2746365445 2976141040 3295638534 4394184712 4464211560 5492730890 6591277068 8239096335 8788369424 8928423120 9337642513 10985461780 13182554136 16478192670 18675285026 21970923560 26365108272 28012927539 32956385340 37350570052 43941847120 46688212565 56025855078 65912770680 74701140104 93376425130 112051710156 131825541360 140064637695 149402280208 186752850260 224103420312 280129275390 373505700520 448206840624 560258550780 747011401040 1120517101560 2241034203120