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10220001222102 = 2373735982322259
BaseRepresentation
bin1001010010111000011110…
…0010101101110111010110
31100012000121110100021222120
42110232013202231313112
52314421030303101402
633423000450440410
72103241105025220
oct224560742556726
940160543307876
1010220001222102
113290307289441
121190855893106
1359198518c659
14274917733410
1512aca42c53bc
hex94b878addd6

10220001222102 has 128 divisors (see below), whose sum is σ = 24088496947200. Its totient is φ = 2829597929856.

The previous prime is 10220001222023. The next prime is 10220001222113. The reversal of 10220001222102 is 20122210002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 459129049 + ... + 459151307.

It is an arithmetic number, because the mean of its divisors is an integer number (188191382400).

Almost surely, 210220001222102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10220001222102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12044248473600).

10220001222102 is an abundant number, since it is smaller than the sum of its proper divisors (13868495725098).

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

10220001222102 is a wasteful number, since it uses less digits than its factorization.

10220001222102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10220001222102 its reverse (20122210002201), we get a palindrome (30342211224303).

The spelling of 10220001222102 in words is "ten trillion, two hundred twenty billion, one million, two hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 222 259 359 518 718 777 823 1077 1554 1646 2154 2469 2513 4938 5026 5761 7539 11522 13283 15078 17283 22259 26566 30451 34566 39849 44518 60902 66777 79698 91353 92981 133554 155813 182706 185962 213157 278943 295457 311626 426314 467439 557886 590914 639471 823583 886371 934878 1278942 1647166 1772742 2068199 2470749 4136398 4941498 5765081 6204597 7990981 10931909 11530162 12409194 15981962 17295243 18319157 21863818 23972943 32795727 34590486 36638314 47945886 54957471 55936867 65591454 76523363 109914942 111873734 128234099 153046726 167810601 229570089 256468198 295666297 335621202 384702297 459140178 591332594 677808809 769404594 886998891 1355617618 1773997782 2033426427 2069664079 4066852854 4139328158 4744661663 6208992237 6576577363 9489323326 12417984474 13153154726 14233984989 19729732089 28467969978 39459464178 46036041541 92072083082 138108124623 243333362431 276216249246 486666724862 730000087293 1460000174586 1703333537017 3406667074034 5110000611051 10220001222102