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135111623031 = 32711593304513
BaseRepresentation
bin111110111010101000…
…1111100000101110111
3110220202011100121012100
41331311101330011313
54203202033414111
6142022554553143
712522122563260
oct1756521740567
9426664317170
10135111623031
1152333a97180
12222287387b3
13c982bb6448
14677a305967
1537ab9b8756
hex1f7547c177

135111623031 has 48 divisors (see below), whose sum is σ = 247442008320. Its totient is φ = 68998210560.

The previous prime is 135111623021. The next prime is 135111623033. The reversal of 135111623031 is 130326111531.

It is a happy number.

135111623031 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 1 + 623 + 0 + 31 = 666.

It is not a de Polignac number, because 135111623031 - 27 = 135111622903 is a prime.

It is a super-2 number, since 2×1351116230312 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135111622986 and 135111623004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135111623033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1611370 + ... + 1693143.

It is an arithmetic number, because the mean of its divisors is an integer number (5155041840).

Almost surely, 2135111623031 is an apocalyptic number.

135111623031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135111623031 is a deficient number, since it is larger than the sum of its proper divisors (112330385289).

135111623031 is a wasteful number, since it uses less digits than its factorization.

135111623031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304596 (or 3304593 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 135111623031 its reverse (130326111531), we get a palindrome (265437734562).

The spelling of 135111623031 in words is "one hundred thirty-five billion, one hundred eleven million, six hundred twenty-three thousand, thirty-one".

Divisors: 1 3 7 9 11 21 33 59 63 77 99 177 231 413 531 649 693 1239 1947 3717 4543 5841 13629 40887 3304513 9913539 23131591 29740617 36349643 69394773 109048929 194966267 208184319 254447501 327146787 584898801 763342503 1364763869 1754696403 2144628937 2290027509 4094291607 6433886811 12282874821 15012402559 19301660433 45037207677 135111623031