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220000012200010 = 257127251105193809
BaseRepresentation
bin110010000001011010111110…
…100100111110100001001010
31001211221210111010001101111101
4302001122332210332201022
5212313440011110400020
62055522335501052014
764224322251131110
oct6201327644764112
91054853433041441
10220000012200010
116410a532553439
1220811586b5700a
13959abb1c54953
143c480b3739ab0
151a67a8a03500a
hexc816be93e84a

220000012200010 has 128 divisors (see below), whose sum is σ = 458392895815680. Its totient is φ = 74464790400000.

The previous prime is 220000012199999. The next prime is 220000012200037. The reversal of 220000012200010 is 10002210000022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 220000012200010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2345143986 + ... + 2345237794.

It is an arithmetic number, because the mean of its divisors is an integer number (3581194498560).

Almost surely, 2220000012200010 is an apocalyptic number.

220000012200010 is an abundant number, since it is smaller than the sum of its proper divisors (238392883615670).

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

220000012200010 is a wasteful number, since it uses less digits than its factorization.

220000012200010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95252.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 220000012200010 its reverse (10002210000022), we get a palindrome (230002222200032).

The spelling of 220000012200010 in words is "two hundred twenty trillion, twelve million, two hundred thousand, ten".

Divisors: 1 2 5 7 10 14 35 70 127 251 254 502 635 889 1051 1255 1270 1757 1778 2102 2510 3514 4445 5255 7357 8785 8890 10510 14714 17570 31877 36785 63754 73570 93809 133477 159385 187618 223139 263801 266954 318770 446278 469045 527602 656663 667385 934339 938090 1115695 1313326 1319005 1334770 1846607 1868678 2231390 2638010 3283315 3693214 4671695 6566630 9233035 9343390 11913743 18466070 23546059 23827486 33502727 47092118 59568715 67005454 83396201 98593259 117730295 119137430 164822413 166792402 167513635 197186518 234519089 235460590 329644826 335027270 416981005 469038178 492966295 690152813 824112065 833962010 985932590 1172595445 1380305626 1648224130 2345190890 2990349493 3450764065 5980698986 6901528130 12521343893 14951747465 20932446451 24746908009 25042687786 29903494930 41864892902 49493816018 62606719465 87649407251 104662232255 123734540045 125213438930 173228356063 175298814502 209324464510 247469080090 346456712126 438247036255 866141780315 876494072510 1732283560630 3142857317143 6285714634286 15714286585715 22000001220001 31428573171430 44000002440002 110000006100005 220000012200010