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13111023132 = 22322341467827
BaseRepresentation
bin11000011010111101…
…00101011000011100
31020211201200222120100
430031132211120130
5203322410220012
610004554421100
7642621600144
oct141536453034
936751628510
1013111023132
115618915809
12265aa31790
13130c3a496c
148c53c9924
1551b0828dc
hex30d7a561c

13111023132 has 144 divisors (see below), whose sum is σ = 35544966912. Its totient is φ = 4064712960.

The previous prime is 13111023103. The next prime is 13111023143. The reversal of 13111023132 is 23132011131.

13111023132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15853303 + ... + 15854129.

It is an arithmetic number, because the mean of its divisors is an integer number (246840048).

Almost surely, 213111023132 is an apocalyptic number.

13111023132 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 13111023132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772483456).

13111023132 is an abundant number, since it is smaller than the sum of its proper divisors (22433943780).

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

13111023132 is a wasteful number, since it uses less digits than its factorization.

13111023132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1368 (or 1363 counting only the distinct ones).

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

Adding to 13111023132 its reverse (23132011131), we get a palindrome (36243034263).

The spelling of 13111023132 in words is "thirteen billion, one hundred eleven million, twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 41 46 69 82 92 123 138 164 207 246 276 369 414 467 492 738 827 828 934 943 1401 1476 1654 1868 1886 2481 2802 2829 3308 3772 4203 4962 5604 5658 7443 8406 8487 9924 10741 11316 14886 16812 16974 19021 19147 21482 29772 32223 33907 33948 38042 38294 42964 57063 57441 64446 67814 76084 76588 96669 101721 114126 114882 128892 135628 171189 172323 193338 203442 228252 229764 305163 342378 344646 386209 386676 406884 440381 610326 684756 689292 772418 779861 880762 1158627 1220652 1321143 1544836 1559722 1761524 2317254 2339583 2642286 3119444 3475881 3963429 4634508 4679166 5284572 6951762 7018749 7926858 8882807 9358332 13903524 14037498 15834569 15853716 17765614 26648421 28074996 31669138 35531228 47503707 53296842 63338276 79945263 95007414 106593684 142511121 159890526 190014828 285022242 319781052 364195087 570044484 728390174 1092585261 1456780348 2185170522 3277755783 4370341044 6555511566 13111023132