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138027230204112 = 24321756383672469
BaseRepresentation
bin11111011000100011111000…
…000001101001000011010000
3200002201021101222211101100100
4133120203320001221003100
5121042414231413012422
61205320500103452400
741034065302510134
oct3730437001510320
9602637358741310
10138027230204112
113aa860240a6887
1213592728157100
135c02bb175b052
1426127a70853c4
1510e5611db77ac
hex7d88f80690d0

138027230204112 has 60 divisors (see below), whose sum is σ = 409007160097380. Its totient is φ = 43302660455424.

The previous prime is 138027230204107. The next prime is 138027230204113. The reversal of 138027230204112 is 211402032720831.

138027230204112 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 2 + 7 + 230 + 2 + 0 + 411 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 113476949333136 + 24550280870976 = 10652556^2 + 4954824^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138027230204113) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28191833787 + ... + 28191838682.

It is an arithmetic number, because the mean of its divisors is an integer number (6816786001623).

Almost surely, 2138027230204112 is an apocalyptic number.

138027230204112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138027230204112 is an abundant number, since it is smaller than the sum of its proper divisors (270979929893268).

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

138027230204112 is a wasteful number, since it uses less digits than its factorization.

138027230204112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56383672500 (or 56383672491 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 138027230204112 its reverse (211402032720831), we get a palindrome (349429262924943).

The spelling of 138027230204112 in words is "one hundred thirty-eight trillion, twenty-seven billion, two hundred thirty million, two hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 48 51 68 72 102 136 144 153 204 272 306 408 612 816 1224 2448 56383672469 112767344938 169151017407 225534689876 338302034814 451069379752 507453052221 676604069628 902138759504 958522431973 1014906104442 1353208139256 1917044863946 2029812208884 2706416278512 2875567295919 3834089727892 4059624417768 5751134591838 7668179455784 8119248835536 8626701887757 11502269183676 15336358911568 17253403775514 23004538367352 34506807551028 46009076734704 69013615102056 138027230204112