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11206001101104 = 2432711583692387
BaseRepresentation
bin1010001100010001100110…
…1101110000100100110000
31110200021122111001212220200
42203010121231300210300
52432044342240213404
635455544342035200
72234415103513035
oct243043155604460
943607574055820
1011206001101104
1136304905331a7
12130b96b118b00
1363394bb06214
142aa53267138c
151467618d2839
hexa3119b70930

11206001101104 has 120 divisors (see below), whose sum is σ = 31823083049472. Its totient is φ = 3680391630720.

The previous prime is 11206001101093. The next prime is 11206001101123. The reversal of 11206001101104 is 40110110060211.

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

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, 15838399 + ... + 16530785.

Almost surely, 211206001101104 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 11206001101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15911541524736).

11206001101104 is an abundant number, since it is smaller than the sum of its proper divisors (20617081948368).

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

11206001101104 is a wasteful number, since it uses less digits than its factorization.

11206001101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694055 (or 694046 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 11206001101104 its reverse (40110110060211), we get a palindrome (51316111161315).

The spelling of 11206001101104 in words is "eleven trillion, two hundred six billion, one million, one hundred one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1583 1704 2556 3166 3408 4749 5112 6332 9498 10224 12664 14247 18996 25328 28494 37992 56988 75984 112393 113976 224786 227952 337179 449572 674358 692387 899144 1011537 1348716 1384774 1798288 2023074 2077161 2697432 2769548 4046148 4154322 5394864 5539096 6231483 8092296 8308644 11078192 12462966 16184592 16617288 24925932 33234576 49159477 49851864 98318954 99703728 147478431 196637908 294956862 393275816 442435293 589913724 786551632 884870586 1096048621 1179827448 1769741172 2192097242 2359654896 3288145863 3539482344 4384194484 6576291726 7078964688 8768388968 9864437589 13152583452 17536777936 19728875178 26305166904 39457750356 52610333808 77819452091 78915500712 155638904182 157831001424 233458356273 311277808364 466916712546 622555616728 700375068819 933833425092 1245111233456 1400750137638 1867666850184 2801500275276 3735333700368 5603000550552 11206001101104