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11011001010984 = 23321323132891101
BaseRepresentation
bin1010000000111011001011…
…0011011100101100101000
31102222122022120222221100200
42200032302303130230220
52420401012224322414
635230214541232200
72214342604216542
oct240166263345450
942878276887320
1011011001010984
113565815018327
12129a009b62660
1361b443613900
142a0d1462a692
1514164c398109
hexa03b2cdcb28

11011001010984 has 144 divisors (see below), whose sum is σ = 32395058109180. Its totient is φ = 3377174860800.

The previous prime is 11011001010937. The next prime is 11011001011013. The reversal of 11011001010984 is 48901010011011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1359396900 + 11009641614084 = 36870^2 + 3318078^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2363034 + ... + 5254134.

Almost surely, 211011001010984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11011001010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16197529054590).

11011001010984 is an abundant number, since it is smaller than the sum of its proper divisors (21384057098196).

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

11011001010984 is a wasteful number, since it uses less digits than its factorization.

11011001010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891452 (or 2891432 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 27.

Adding to 11011001010984 its reverse (48901010011011), we get a palindrome (59912011021995).

The spelling of 11011001010984 in words is "eleven trillion, eleven billion, one million, ten thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 169 234 312 313 338 468 507 626 676 936 939 1014 1252 1352 1521 1878 2028 2504 2817 3042 3756 4056 4069 5634 6084 7512 8138 11268 12168 12207 16276 22536 24414 32552 36621 48828 52897 73242 97656 105794 146484 158691 211588 292968 317382 423176 476073 634764 952146 1269528 1904292 2891101 3808584 5782202 8673303 11564404 17346606 23128808 26019909 34693212 37584313 52039818 69386424 75168626 104079636 112752939 150337252 208159272 225505878 300674504 338258817 451011756 488596069 676517634 902023512 904914613 977192138 1353035268 1465788207 1809829226 1954384276 2706070536 2714743839 2931576414 3619658452 3908768552 4397364621 5429487678 5863152828 7239316904 8144231517 8794729242 10858975356 11726305656 11763889969 16288463034 17589458484 21717950712 23527779938 32576926068 35178916968 35291669907 47055559876 65153852136 70583339814 94111119752 105875009721 141166679628 152930569597 211750019442 282333359256 305861139194 423500038884 458791708791 611722278388 847000077768 917583417582 1223444556776 1376375126373 1835166835164 2752750252746 3670333670328 5505500505492 11011001010984