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13033221230112 = 253296067771629
BaseRepresentation
bin1011110110101000100010…
…0001011000111000100000
31201010222000121002212122120
42331222020201120320200
53202014014113330422
643415213522504240
72513422241401566
oct275521041307040
951128017085576
1013033221230112
1141753a3677676
121565b13505080
13737048513325
14330b501c3a36
15179055ea445c
hexbda88858e20

13033221230112 has 96 divisors (see below), whose sum is σ = 35397816350400. Its totient is φ = 4193903121408.

The previous prime is 13033221230111. The next prime is 13033221230119. The reversal of 13033221230112 is 21103212233031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (13033221230111) 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, 16504714 + ... + 17276342.

It is an arithmetic number, because the mean of its divisors is an integer number (368727253650).

Almost surely, 213033221230112 is an apocalyptic number.

13033221230112 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 13033221230112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17698908175200).

13033221230112 is an abundant number, since it is smaller than the sum of its proper divisors (22364595120288).

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

13033221230112 is a wasteful number, since it uses less digits than its factorization.

13033221230112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777738 (or 777730 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 13033221230112 its reverse (21103212233031), we get a palindrome (34136433463143).

The spelling of 13033221230112 in words is "thirteen trillion, thirty-three billion, two hundred twenty-one million, two hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 6067 12134 18201 24268 36402 48536 72804 97072 145608 175943 194144 291216 351886 527829 582432 703772 771629 1055658 1407544 1543258 2111316 2314887 2815088 3086516 4222632 4629774 5630176 6173032 8445264 9259548 12346064 16890528 18519096 22377241 24692128 37038192 44754482 67131723 74076384 89508964 134263446 179017928 268526892 358035856 537053784 716071712 1074107568 2148215136 4681473143 9362946286 14044419429 18725892572 28088838858 37451785144 56177677716 74903570288 112355355432 135762721147 149807140576 224710710864 271525442294 407288163441 449421421728 543050884588 814576326882 1086101769176 1629152653764 2172203538352 3258305307528 4344407076704 6516610615056 13033221230112