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13111032132 = 223211434631663
BaseRepresentation
bin11000011010111101…
…00111100101000100
31020211201201102220200
430031132213211010
5203322411012012
610004554530500
7642621635322
oct141536474504
936751642820
1013111032132
115618921550
12265aa36a30
13130c3a8aa3
148c53ccd12
1551b0853dc
hex30d7a7944

13111032132 has 144 divisors (see below), whose sum is σ = 37097668608. Its totient is φ = 3869933760.

The previous prime is 13111032127. The next prime is 13111032173. The reversal of 13111032132 is 23123011131.

13111032132 is a `hidden beast` number, since 1 + 311 + 1 + 0 + 321 + 32 = 666.

13111032132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131110321323 (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

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, 7883133 + ... + 7884795.

Almost surely, 213111032132 is an apocalyptic number.

13111032132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13111032132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18548834304).

13111032132 is an abundant number, since it is smaller than the sum of its proper divisors (23986636476).

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

13111032132 is a wasteful number, since it uses less digits than its factorization.

13111032132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2185 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13111032132 its reverse (23123011131), we get a palindrome (36234043263).

The spelling of 13111032132 in words is "thirteen billion, one hundred eleven million, thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 463 473 516 774 926 946 1389 1419 1548 1663 1852 1892 2778 2838 3326 4167 4257 4989 5093 5556 5676 6652 8334 8514 9978 10186 14967 15279 16668 17028 18293 19909 19956 20372 29934 30558 36586 39818 45837 54879 59727 59868 61116 71509 73172 79636 91674 109758 119454 143018 164637 179181 183348 214527 218999 219516 238908 286036 329274 358362 429054 437998 643581 656997 658548 716724 769969 786599 858108 875996 1287162 1313994 1539938 1573198 1970991 2309907 2359797 2574324 2627988 3079876 3146396 3941982 4619814 4719594 6929721 7079391 7883964 8469659 9239628 9439188 13859442 14158782 16939318 25408977 27718884 28317564 33108667 33878636 50817954 66217334 76226931 99326001 101635908 132434668 152453862 198652002 297978003 304907724 364195337 397304004 595956006 728390674 1092586011 1191912012 1456781348 2185172022 3277758033 4370344044 6555516066 13111032132