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11331330123132 = 22326746211016641
BaseRepresentation
bin1010010011100100011111…
…1010000010010101111100
31111010021010212201212100100
42210321013322002111330
52441123031002420012
640033312522001100
72246442631565565
oct244710772022574
944107125655310
1011331330123132
1136796544a1458
121330107646190
1364270306ba56
142b262164516c
15149b496328dc
hexa4e47e8257c

11331330123132 has 72 divisors (see below), whose sum is σ = 29076912776912. Its totient is φ = 3719926425600.

The previous prime is 11331330123097. The next prime is 11331330123149. The reversal of 11331330123132 is 23132103313311.

11331330123132 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 1 + 330 + 12 + 313 + 2 = 666.

11331330123132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11331330123096 and 11331330123105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10637532 + ... + 11654172.

Almost surely, 211331330123132 is an apocalyptic number.

11331330123132 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 11331330123132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14538456388456).

11331330123132 is an abundant number, since it is smaller than the sum of its proper divisors (17745582653780).

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

11331330123132 is a wasteful number, since it uses less digits than its factorization.

11331330123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021339 (or 1021334 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331330123132 its reverse (23132103313311), we get a palindrome (34463433436443).

The spelling of 11331330123132 in words is "eleven trillion, three hundred thirty-one billion, three hundred thirty million, one hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 201 268 402 603 804 1206 2412 4621 9242 13863 18484 27726 41589 55452 83178 166356 309607 619214 928821 1016641 1238428 1857642 2033282 2786463 3049923 3715284 4066564 5572926 6099846 9149769 11145852 12199692 18299538 36599076 68114947 136229894 204344841 272459788 408689682 613034523 817379364 1226069046 2452138092 4697898061 9395796122 14093694183 18791592244 28187388366 42281082549 56374776732 84562165098 169124330196 314759170087 629518340174 944277510261 1259036680348 1888555020522 2832832530783 3777110041044 5665665061566 11331330123132