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3361220102500 = 225413617167621
BaseRepresentation
bin110000111010011000010…
…101001000100101100100
3102220022220012121201220221
4300322120111020211210
5420032234321240000
611052042335534124
7464561111316331
oct60723025104544
912808805551827
103361220102500
111086538137107
1246351598a344
131b4c66acb120
14b8980971988
155c67681261a
hex30e98548964

3361220102500 has 120 divisors (see below), whose sum is σ = 7928601729048. Its totient is φ = 1239047040000.

The previous prime is 3361220102467. The next prime is 3361220102509. The reversal of 3361220102500 is 52010221633.

It can be written as a sum of positive squares in 20 ways, for example, as 1683412831296 + 1677807271204 = 1297464^2 + 1295302^2 .

It is a super-2 number, since 2×33612201025002 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (3361220102509) 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 39 ways as a sum of consecutive naturals, for example, 19968690 + ... + 20136310.

Almost surely, 23361220102500 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 3361220102500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3964300864524).

3361220102500 is an abundant number, since it is smaller than the sum of its proper divisors (4567381626548).

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

3361220102500 is a wasteful number, since it uses less digits than its factorization.

3361220102500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168275 (or 168258 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The spelling of 3361220102500 in words is "three trillion, three hundred sixty-one billion, two hundred twenty million, one hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 617 625 650 1234 1250 1300 1625 2468 2500 3085 3250 6170 6500 8021 8125 12340 15425 16042 16250 30850 32084 32500 40105 61700 77125 80210 154250 160420 167621 200525 308500 335242 385625 401050 670484 771250 802100 838105 1002625 1542500 1676210 2005250 2179073 3352420 4010500 4190525 4358146 5013125 8381050 8716292 10026250 10895365 16762100 20052500 20952625 21790730 41905250 43581460 54476825 83810500 103422157 104763125 108953650 206844314 209526250 217907300 272384125 413688628 419052500 517110785 544768250 1034221570 1089536500 1344488041 1361920625 2068443140 2585553925 2688976082 2723841250 5171107850 5377952164 5447682500 6722440205 10342215700 12927769625 13444880410 25855539250 26889760820 33612201025 51711078500 64638848125 67224402050 129277696250 134448804100 168061005125 258555392500 336122010250 672244020500 840305025625 1680610051250 3361220102500