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3002203004100 = 22352531511250449
BaseRepresentation
bin101011101100000001001…
…111100101110011000100
3101122000012200121110221120
4223230001033211303010
5343142002432112400
610215105405313540
7426621250324416
oct53540117456304
911560180543846
103002203004100
11a58255368323
12405a1b8658b0
1318a150073a21
14a54437169b6
1553162d55ca0
hex2bb013e5cc4

3002203004100 has 144 divisors (see below), whose sum is σ = 8908886044800. Its totient is φ = 780279552000.

The previous prime is 3002203004089. The next prime is 3002203004111. The reversal of 3002203004100 is 14003022003.

It is an interprime number because it is at equal distance from previous prime (3002203004089) and next prime (3002203004111).

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 3002203004100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1775676 + ... + 3026124.

It is an arithmetic number, because the mean of its divisors is an integer number (61867264200).

Almost surely, 23002203004100 is an apocalyptic number.

3002203004100 is a gapful number since it is divisible by the number (30) 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 3002203004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4454443022400).

3002203004100 is an abundant number, since it is smaller than the sum of its proper divisors (5906683040700).

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

3002203004100 is a wasteful number, since it uses less digits than its factorization.

3002203004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1250670 (or 1250663 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 3002203004100 its reverse (14003022003), we get a palindrome (3016206026103).

The spelling of 3002203004100 in words is "three trillion, two billion, two hundred three million, four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 151 159 212 265 300 302 318 453 530 604 636 755 795 906 1060 1325 1510 1590 1812 2265 2650 3020 3180 3775 3975 4530 5300 7550 7950 8003 9060 11325 15100 15900 16006 22650 24009 32012 40015 45300 48018 80030 96036 120045 160060 200075 240090 400150 480180 600225 800300 1200450 1250449 2400900 2500898 3751347 5001796 6252245 7502694 12504490 15005388 18756735 25008980 31261225 37513470 62522450 66273797 75026940 93783675 125044900 132547594 187567350 188817799 198821391 265095188 331368985 375134700 377635598 397642782 566453397 662737970 755271196 795285564 944088995 994106955 1132906794 1325475940 1656844925 1888177990 1988213910 2265813588 2832266985 3313689850 3776355980 3976427820 4720444975 4970534775 5664533970 6627379700 9440889950 9941069550 10007343347 11329067940 14161334925 18881779900 19882139100 20014686694 28322669850 30022030041 40029373388 50036716735 56645339700 60044060082 100073433470 120088120164 150110150205 200146866940 250183583675 300220300410 500367167350 600440600820 750550751025 1000734334700 1501101502050 3002203004100