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101102012102 = 27132537391091
BaseRepresentation
bin101111000101000100…
…1100100011011000110
3100122221222021100122202
41132022021210123012
53124024103341402
6114240130554502
710206254631530
oct1361211443306
9318858240582
10101102012102
11399714a5103
1217716a38a32
1396c2c16200
144c71564850
15296ad6bb02
hex178a2646c6

101102012102 has 96 divisors (see below), whose sum is σ = 191650717440. Its totient is φ = 39152730240.

The previous prime is 101102012101. The next prime is 101102012107. The reversal of 101102012102 is 201210201101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101102012101) 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 47 ways as a sum of consecutive naturals, for example, 92668577 + ... + 92669667.

It is an arithmetic number, because the mean of its divisors is an integer number (1996361640).

Almost surely, 2101102012102 is an apocalyptic number.

101102012102 is a deficient number, since it is larger than the sum of its proper divisors (90548705338).

101102012102 is a wasteful number, since it uses less digits than its factorization.

101102012102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102012102 its reverse (201210201101), we get a palindrome (302312213203).

The spelling of 101102012102 in words is "one hundred one billion, one hundred two million, twelve thousand, one hundred two".

Divisors: 1 2 7 13 14 26 53 91 106 169 182 338 371 689 739 742 1091 1183 1378 1478 2182 2366 4823 5173 7637 8957 9607 9646 10346 14183 15274 17914 19214 28366 39167 57823 62699 67249 78334 99281 115646 124891 125398 134498 184379 198562 249782 274169 368758 404761 509171 548338 751699 806249 809522 874237 1018342 1290653 1503398 1612498 1748474 2581306 3564197 5261893 5643743 6619223 7128394 9772087 10481237 10523786 11287486 13238446 19544174 20962474 42731197 46334561 68404609 73368659 85462394 92669122 136256081 136809218 146737318 272512162 299118379 555505561 598236758 953792567 1111011122 1907585134 3888538927 7221572293 7777077854 14443144586 50551006051 101102012102