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101142036 = 223219314557
BaseRepresentation
bin1100000011101…
…00111000010100
321001022112210100
412001310320110
5201343021121
614011454100
72335456512
oct601647024
9231275710
10101142036
1152101566
1229a57330
1317c53578
14d60b4b2
158d2d026
hex6074e14

101142036 has 36 divisors (see below), whose sum is σ = 257006932. Its totient is φ = 33537024.

The previous prime is 101142029. The next prime is 101142037. The reversal of 101142036 is 630241101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20250000 + 80892036 = 4500^2 + 8994^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1011420362 = 20459422892450592, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101142037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331 + ... + 14226.

Almost surely, 2101142036 is an apocalyptic number.

It is an amenable number.

101142036 is an abundant number, since it is smaller than the sum of its proper divisors (155864896).

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

101142036 is a wasteful number, since it uses less digits than its factorization.

101142036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14760 (or 14755 counting only the distinct ones).

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

The square root of 101142036 is about 10056.9396935648. The cubic root of 101142036 is about 465.9191531478.

Adding to 101142036 its reverse (630241101), we get a palindrome (731383137).

The spelling of 101142036 in words is "one hundred one million, one hundred forty-two thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 193 386 579 772 1158 1737 2316 3474 6948 14557 29114 43671 58228 87342 131013 174684 262026 524052 2809501 5619002 8428503 11238004 16857006 25285509 33714012 50571018 101142036