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101342302110 = 23257509316033
BaseRepresentation
bin101111001100001111…
…0001100111110011110
3100200120201102100120200
41132120132030332132
53130022112131420
6114320033124330
710215233232510
oct1363036147636
9320521370520
10101342302110
1139a850a6595
12177833b96a6
13973093904a
144c95433bb0
152981ed3b90
hex179878cf9e

101342302110 has 96 divisors (see below), whose sum is σ = 301723980480. Its totient is φ = 23118372864.

The previous prime is 101342302109. The next prime is 101342302153. The reversal of 101342302110 is 11203243101.

101342302110 is a `hidden beast` number, since 10 + 1 + 342 + 302 + 1 + 10 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 162654 + ... + 478686.

It is an arithmetic number, because the mean of its divisors is an integer number (3142958130).

Almost surely, 2101342302110 is an apocalyptic number.

101342302110 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 101342302110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150861990240).

101342302110 is an abundant number, since it is smaller than the sum of its proper divisors (200381678370).

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

101342302110 is a wasteful number, since it uses less digits than its factorization.

101342302110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316562 (or 316559 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101342302110 its reverse (11203243101), we get a palindrome (112545545211).

The spelling of 101342302110 in words is "one hundred one billion, three hundred forty-two million, three hundred two thousand, one hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 509 630 1018 1527 2545 3054 3563 4581 5090 7126 7635 9162 10689 15270 17815 21378 22905 32067 35630 45810 53445 64134 106890 160335 316033 320670 632066 948099 1580165 1896198 2212231 2844297 3160330 4424462 4740495 5688594 6636693 9480990 11061155 13273386 14221485 19910079 22122310 28442970 33183465 39820158 66366930 99550395 160860797 199100790 321721594 482582391 804303985 965164782 1126025579 1447747173 1608607970 2252051158 2412911955 2895494346 3378076737 4825823910 5630127895 6756153474 7238735865 10134230211 11260255790 14477471730 16890383685 20268460422 33780767370 50671151055 101342302110