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10001010110010 = 23561739210007
BaseRepresentation
bin1001000110001000101010…
…1001111010111000111010
31022102002100120221011021020
42101202022221322320322
52302324032042010020
633134222311123310
72051356232213403
oct221421251727072
938362316834236
1010001010110010
11320644a532687
12115631a073536
135771254c535a
142680a134c9aa
1512523896ec40
hex9188aa7ae3a

10001010110010 has 96 divisors (see below), whose sum is σ = 24431404540032. Its totient is φ = 2619404300160.

The previous prime is 10001010110009. The next prime is 10001010110027. The reversal of 10001010110010 is 1001101010001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 999396427 + ... + 999406433.

It is an arithmetic number, because the mean of its divisors is an integer number (254493797292).

Almost surely, 210001010110010 is an apocalyptic number.

10001010110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001010110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12215702270016).

10001010110010 is an abundant number, since it is smaller than the sum of its proper divisors (14430394430022).

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

10001010110010 is an equidigital number, since it uses as much as digits as its factorization.

10001010110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11556 (or 10817 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 10001010110010 its reverse (1001101010001), we get a palindrome (11002111120011).

The spelling of 10001010110010 in words is "ten trillion, one billion, ten million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 739 915 1478 1830 2217 3695 4434 7390 10007 11085 20014 22170 30021 45079 50035 60042 90158 100070 135237 150105 225395 270474 300210 450790 546121 610427 676185 1092242 1220854 1352370 1638363 1831281 2730605 3052135 3276726 3662562 5461210 6104270 7395173 8191815 9156405 14790346 16383630 18312810 22185519 33313381 36975865 44371038 66626762 73951730 99940143 110927595 166566905 199880286 221855190 333133810 451105553 499700715 902211106 999401430 1353316659 2255527765 2706633318 4511055530 5465032847 6766583295 10930065694 13533166590 16395098541 27325164235 32790197082 54650328470 81975492705 163950985410 333367003667 666734007334 1000101011001 1666835018335 2000202022002 3333670036670 5000505055005 10001010110010