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11131332030 = 23257132104549
BaseRepresentation
bin10100101110111101…
…01010010110111110
31001201202120020220200
422113132222112332
5140244110111110
65040315024330
7542562522030
oct122736522676
931652506820
1011131332030
1147a238a565
1221a7a3b0a6
1310851bb500
147784d9c50
154523826c0
hex2977aa5be

11131332030 has 144 divisors (see below), whose sum is σ = 35816320800. Its totient is φ = 2348566272.

The previous prime is 11131332013. The next prime is 11131332067. The reversal of 11131332030 is 3023313111.

It is a happy number.

11131332030 is a `hidden beast` number, since 1 + 1 + 1 + 313 + 320 + 30 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11131331994 and 11131332012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 54196 + ... + 158744.

It is an arithmetic number, because the mean of its divisors is an integer number (248724450).

Almost surely, 211131332030 is an apocalyptic number.

11131332030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131332030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17908160400).

11131332030 is an abundant number, since it is smaller than the sum of its proper divisors (24684988770).

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

11131332030 is a wasteful number, since it uses less digits than its factorization.

11131332030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104595 (or 104579 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 11131332030 its reverse (3023313111), we get a palindrome (14154645141).

The spelling of 11131332030 in words is "eleven billion, one hundred thirty-one million, three hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 30 35 39 42 45 63 65 70 78 90 91 105 117 126 130 169 182 195 210 234 273 315 338 390 455 507 546 585 630 819 845 910 1014 1170 1183 1365 1521 1638 1690 2366 2535 2730 3042 3549 4095 5070 5915 7098 7605 8190 10647 11830 15210 17745 21294 35490 53235 104549 106470 209098 313647 522745 627294 731843 940941 1045490 1359137 1463686 1568235 1881882 2195529 2718274 3136470 3659215 4077411 4391058 4704705 6586587 6795685 7318430 8154822 9409410 9513959 10977645 12232233 13173174 13591370 17668781 19027918 20387055 21955290 24464466 28541877 32932935 35337562 40774110 47569795 53006343 57083754 61161165 65865870 85625631 88343905 95139590 106012686 122322330 123681467 142709385 159019029 171251262 176687810 247362934 265031715 285418770 318038058 371044401 428128155 530063430 618407335 742088802 795095145 856256310 1113133203 1236814670 1590190290 1855222005 2226266406 3710444010 5565666015 11131332030