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210100011011010 = 232535313814788673
BaseRepresentation
bin101111110001010110111000…
…100001100000101111000010
31000112220100212000020001220200
4233301112320201200233002
5210014234310304323020
62022502340153350030
762153140063360521
oct5761267041405702
91015810760201820
10210100011011010
1160a42a06a1317a
121b692958708316
1390304662b0913
1439c4c7543c4b8
1519452b4194590
hexbf15b8860bc2

210100011011010 has 96 divisors (see below), whose sum is σ = 548204296459248. Its totient is φ = 55827487457280.

The previous prime is 210100011010991. The next prime is 210100011011053. The reversal of 210100011011010 is 10110110001012.

It can be written as a sum of positive squares in 8 ways, for example, as 45658089583929 + 164441921427081 = 6757077^2 + 12823491^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210100011010983 and 210100011011001.

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 47 ways as a sum of consecutive naturals, for example, 41480034 + ... + 46268706.

Almost surely, 2210100011011010 is an apocalyptic number.

210100011011010 is an abundant number, since it is smaller than the sum of its proper divisors (338104285448238).

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

210100011011010 is a wasteful number, since it uses less digits than its factorization.

210100011011010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4790420 (or 4790417 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 210100011011010 its reverse (10110110001012), we get a palindrome (220210121012022).

The spelling of 210100011011010 in words is "two hundred ten trillion, one hundred billion, eleven million, eleven thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 353 706 1059 1381 1765 2118 2762 3177 3530 4143 5295 6354 6905 8286 10590 12429 13810 15885 20715 24858 31770 41430 62145 124290 487493 974986 1462479 2437465 2924958 4387437 4788673 4874930 7312395 8774874 9577346 14366019 14624790 21937185 23943365 28732038 43098057 43874370 47886730 71830095 86196114 143660190 215490285 430980570 1690401569 3380803138 5071204707 6613157413 8452007845 10142409414 13226314826 15213614121 16904015690 19839472239 25356023535 30427228242 33065787065 39678944478 50712047070 59518416717 66131574130 76068070605 99197361195 119036833434 152136141210 198394722390 297592083585 595184167170 2334444566789 4668889133578 7003333700367 11672222833945 14006667400734 21010001101101 23344445667890 35016668501835 42020002202202 70033337003670 105050005505505 210100011011010