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11210211022010 = 25711132351476351
BaseRepresentation
bin1010001100100001010010…
…1001010101010010111010
31110200200111212210000201012
42203020110221111102322
52432132003010201020
635501522211153522
72234624323323650
oct243102451252272
943620455700635
1011210211022010
113632250966080
121310744ba58a2
13634170076790
142aa81182add0
1514690b2c17c5
hexa3214a554ba

11210211022010 has 128 divisors (see below), whose sum is σ = 27104230637568. Its totient is φ = 3223936800000.

The previous prime is 11210211021941. The next prime is 11210211022013. The reversal of 11210211022010 is 1022011201211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11210211022013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23295335 + ... + 23771685.

It is an arithmetic number, because the mean of its divisors is an integer number (211751801856).

Almost surely, 211210211022010 is an apocalyptic number.

11210211022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11210211022010 is an abundant number, since it is smaller than the sum of its proper divisors (15894019615558).

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

11210211022010 is a wasteful number, since it uses less digits than its factorization.

11210211022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478740.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11210211022010 its reverse (1022011201211), we get a palindrome (12232222223221).

The spelling of 11210211022010 in words is "eleven trillion, two hundred ten billion, two hundred eleven million, twenty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 715 770 910 1001 1430 2002 2351 4702 5005 10010 11755 16457 23510 25861 30563 32914 51722 61126 82285 129305 152815 164570 181027 213941 258610 305630 336193 362054 427882 476351 672386 905135 952702 1069705 1680965 1810270 2139410 2353351 2381755 3334457 3361930 4706702 4763510 5239861 6192563 6668914 10479722 11766755 12385126 16672285 23533510 26199305 30962815 33344570 36679027 43347941 52398610 61925630 68118193 73358054 86695882 136236386 183395135 216739705 340590965 366790270 433479410 476827351 681181930 953654702 1119901201 2239802402 2384136755 4768273510 5599506005 7839308407 11199012010 12318913211 14558715613 15678616814 24637826422 29117431226 39196542035 61594566055 72793578065 78393084070 86232392477 101911009291 123189132110 145587156130 160145871743 172464784954 203822018582 320291743486 431161962385 509555046455 800729358715 862323924770 1019110092910 1121021102201 1601458717430 2242042204402 5605105511005 11210211022010