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10200200020010 = 25711131516748351
BaseRepresentation
bin1001010001101110101101…
…0011001000000000101010
31100010010111110220000012022
42110123223103020000222
52314110002201120020
633405523542144442
72101640315421110
oct224335323100052
940103443800168
1010200200020010
113282975aa1210
121188a4a422122
1358cb4aa3ab20
142739999d9ab0
1512a4e5c27625
hex946eb4c802a

10200200020010 has 128 divisors (see below), whose sum is σ = 24814932000768. Its totient is φ = 2915287200000.

The previous prime is 10200200020007. The next prime is 10200200020033. The reversal of 10200200020010 is 1002000200201.

It is a self number, because there is not a number n which added to its sum of digits gives 10200200020010.

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, 1862666 + ... + 4885685.

It is an arithmetic number, because the mean of its divisors is an integer number (193866656256).

Almost surely, 210200200020010 is an apocalyptic number.

10200200020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10200200020010 is an abundant number, since it is smaller than the sum of its proper divisors (14614731980758).

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

10200200020010 is a wasteful number, since it uses less digits than its factorization.

10200200020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6748540.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200200020010 its reverse (1002000200201), we get a palindrome (11202200220211).

The spelling of 10200200020010 in words is "ten trillion, two hundred billion, two hundred million, twenty thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 151 154 182 286 302 385 455 715 755 770 910 1001 1057 1430 1510 1661 1963 2002 2114 3322 3926 5005 5285 8305 9815 10010 10570 11627 13741 16610 19630 21593 23254 27482 43186 58135 68705 107965 116270 137410 151151 215930 302302 755755 1511510 6748351 13496702 33741755 47238457 67483510 74231861 87728563 94476914 148463722 175457126 236192285 371159305 438642815 472384570 519623027 614099941 742318610 877285630 965014193 1019001001 1039246054 1228199882 1930028386 2038002002 2598115135 3070499705 4825070965 5095005005 5196230270 6140999410 6755099351 7133007007 9650141930 10190010010 11209011011 13247013013 13510198702 14266014014 22418022022 26494026026 33775496755 35665035035 56045055055 66235065065 67550993510 71330070070 78463077077 92729091091 112090110110 132470130130 145717143143 156926154154 185458182182 291434286286 392315385385 463645455455 728585715715 784630770770 927290910910 1020020002001 1457171431430 2040040004002 5100100010005 10200200020010