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11034312204432 = 2431117272312521
BaseRepresentation
bin1010000010010010000001…
…0000100110000010010000
31110001212111012010021002210
42200210200100212002100
52421241232411020212
635245032033112120
72216126354125626
oct240444020460220
943055435107083
1011034312204432
113574697636a60
1212a26349b8640
136206b9cbc6ba
142a20c65a3516
15142063b7853c
hexa0920426090

11034312204432 has 120 divisors (see below), whose sum is σ = 33033517049952. Its totient is φ = 3147040870400.

The previous prime is 11034312204403. The next prime is 11034312204437. The reversal of 11034312204432 is 23440221343011.

It is a self number, because there is not a number n which added to its sum of digits gives 11034312204432.

It is not an unprimeable number, because it can be changed into a prime (11034312204437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36003669 + ... + 36308852.

Almost surely, 211034312204432 is an apocalyptic number.

11034312204432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11034312204432 is an abundant number, since it is smaller than the sum of its proper divisors (21999204845520).

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

11034312204432 is a wasteful number, since it uses less digits than its factorization.

11034312204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72312577 (or 72312554 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 11034312204432 its reverse (23440221343011), we get a palindrome (34474533547443).

The spelling of 11034312204432 in words is "eleven trillion, thirty-four billion, three hundred twelve million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 289 374 408 528 561 578 748 816 867 1122 1156 1496 1734 2244 2312 2992 3179 3468 4488 4624 6358 6936 8976 9537 12716 13872 19074 25432 38148 50864 76296 152592 72312521 144625042 216937563 289250084 433875126 578500168 795437731 867750252 1157000336 1229312857 1590875462 1735500504 2386313193 2458625714 3181750924 3471001008 3687938571 4772626386 4917251428 6363501848 7375877142 9545252772 9834502856 12727003696 13522441427 14751754284 19090505544 19669005712 20898318569 27044882854 29503508568 38181011088 40567324281 41796637138 54089765708 59007017136 62694955707 81134648562 83593274276 108179531416 125389911414 162269297124 167186548552 216359062832 229881504259 250779822828 324538594248 334373097104 459763008518 501559645656 649077188496 689644512777 919526017036 1003119291312 1379289025554 1839052034072 2758578051108 3678104068144 5517156102216 11034312204432