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10029292929110 = 2571341268809781
BaseRepresentation
bin1001000111110010000001…
…1100010100000001010110
31022111210100200001020021202
42101330200130110001112
52303304442442212420
633155221002112502
72053410141212060
oct221744034240126
938453320036252
1010029292929110
113217443439244
12115b8b1aab732
135799b1ba6980
142695c56bc730
15125d4194e575
hex91f20714056

10029292929110 has 64 divisors (see below), whose sum is σ = 22760661861504. Its totient is φ = 3096688665600.

The previous prime is 10029292929053. The next prime is 10029292929113. The reversal of 10029292929110 is 1192929292001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10029292929113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134367581 + ... + 134442200.

It is an arithmetic number, because the mean of its divisors is an integer number (355635341586).

Almost surely, 210029292929110 is an apocalyptic number.

10029292929110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10029292929110 is an abundant number, since it is smaller than the sum of its proper divisors (12731368932394).

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

10029292929110 is a wasteful number, since it uses less digits than its factorization.

10029292929110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268809849.

The product of its (nonzero) digits is 104976, while the sum is 47.

The spelling of 10029292929110 in words is "ten trillion, twenty-nine billion, two hundred ninety-two million, nine hundred twenty-nine thousand, one hundred ten".

Divisors: 1 2 5 7 10 13 14 26 35 41 65 70 82 91 130 182 205 287 410 455 533 574 910 1066 1435 2665 2870 3731 5330 7462 18655 37310 268809781 537619562 1344048905 1881668467 2688097810 3494527153 3763336934 6989054306 9408342335 11021201021 17472635765 18816684670 22042402042 24461690071 34945271530 48923380142 55106005105 77148407147 110212010210 122308450355 143275613273 154296814294 244616900710 286551226546 385742035735 716378066365 771484071470 1002929292911 1432756132730 2005858585822 5014646464555 10029292929110