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12011100231104 = 2613176173137567
BaseRepresentation
bin1010111011001000110101…
…0111001101010111000000
31120112020202020010021020222
42232302031113031113000
53033242213124343404
641313453454322212
72346526155302222
oct256621527152700
946466666107228
1012011100231104
113910973a51817
12141b9b91b9368
1369184630bc80
142d74a9d00412
1515c6826acdbe
hexaec8d5cd5c0

12011100231104 has 112 divisors (see below), whose sum is σ = 27182432003328. Its totient is φ = 5216608370688.

The previous prime is 12011100231089. The next prime is 12011100231107. The reversal of 12011100231104 is 40113200111021.

12011100231104 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 (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12011100231107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87242129 + ... + 87379695.

It is an arithmetic number, because the mean of its divisors is an integer number (242700285744).

Almost surely, 212011100231104 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 12011100231104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13591216001664).

12011100231104 is an abundant number, since it is smaller than the sum of its proper divisors (15171331772224).

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

12011100231104 is a wasteful number, since it uses less digits than its factorization.

12011100231104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143782 (or 143772 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12011100231104 its reverse (40113200111021), we get a palindrome (52124300342125).

The spelling of 12011100231104 in words is "twelve trillion, eleven billion, one hundred million, two hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 136 208 221 272 416 442 544 832 884 1088 1768 3536 6173 7072 12346 14144 24692 49384 80249 98768 104941 137567 160498 197536 209882 275134 320996 395072 419764 550268 641992 839528 1100536 1283984 1364233 1679056 1788371 2201072 2338639 2567968 2728466 3358112 3576742 4402144 4677278 5135936 5456932 6716224 7153484 8804288 9354556 10913864 14306968 18709112 21827728 28613936 30402307 37418224 43655456 57227872 60804614 74836448 87310912 114455744 121609228 149672896 243218456 486436912 849201091 972873824 1698402182 1945747648 3396804364 6793608728 11039614183 13587217456 14436418547 22079228366 27174434912 28872837094 44158456732 54348869824 57745674188 88316913464 115491348376 176633826928 187673441111 230982696752 353267653856 375346882222 461965393504 706535307712 750693764444 923930787008 1501387528888 3002775057776 6005550115552 12011100231104