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101520342 = 23271189823
BaseRepresentation
bin1100000110100…
…01001111010110
321002000202201200
412003101033112
5201442122332
614023533330
72341623450
oct603211726
9232022650
10101520342
115233a810
1229bba246
1318056811
14d6a92d0
158da517c
hex60d13d6

101520342 has 96 divisors (see below), whose sum is σ = 277655040. Its totient is φ = 26040960.

The previous prime is 101520313. The next prime is 101520373. The reversal of 101520342 is 243025101.

101520342 is a `hidden beast` number, since 101 + 520 + 3 + 42 = 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122943 + ... + 123765.

It is an arithmetic number, because the mean of its divisors is an integer number (2892240).

Almost surely, 2101520342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101520342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138827520).

101520342 is an abundant number, since it is smaller than the sum of its proper divisors (176134698).

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

101520342 is a wasteful number, since it uses less digits than its factorization.

101520342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 101520342 is about 10075.7303457367. The cubic root of 101520342 is about 466.4993296861.

Adding to 101520342 its reverse (243025101), we get a palindrome (344545443).

The spelling of 101520342 in words is "one hundred one million, five hundred twenty thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 89 99 126 154 178 198 231 267 462 534 623 693 801 823 979 1246 1386 1602 1646 1869 1958 2469 2937 3738 4938 5607 5761 5874 6853 7407 8811 9053 11214 11522 13706 14814 17283 17622 18106 20559 27159 34566 41118 51849 54318 61677 63371 73247 81477 103698 123354 126742 146494 162954 190113 219741 380226 439482 512729 570339 659223 805717 1025458 1140678 1318446 1538187 1611434 2417151 3076374 4614561 4834302 5640019 7251453 9229122 11280038 14502906 16920057 33840114 50760171 101520342