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11030311011024 = 24321571007948407
BaseRepresentation
bin1010000010000011000111…
…0001010000001011010000
31110001111011100011120121100
42200200301301100023100
52421210034104323044
635243131021424400
72215625250422004
oct240406161201320
943044140146540
1011030311011024
113572a24008148
1212a18b8a0b100
13620200070a36
142a1c2701c704
15141dcc769869
hexa0831c502d0

11030311011024 has 120 divisors (see below), whose sum is σ = 31069896399360. Its totient is φ = 3652913481984.

The previous prime is 11030311011017. The next prime is 11030311011047. The reversal of 11030311011024 is 42011011303011.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 11030311010988 and 11030311011006.

It is a congruent number.

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, 227841829 + ... + 227890235.

It is an arithmetic number, because the mean of its divisors is an integer number (258915803328).

Almost surely, 211030311011024 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 11030311011024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15534948199680).

11030311011024 is an abundant number, since it is smaller than the sum of its proper divisors (20039585388336).

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

11030311011024 is a wasteful number, since it uses less digits than its factorization.

11030311011024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58657 (or 58648 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11030311011024 its reverse (42011011303011), we get a palindrome (53041322314035).

The spelling of 11030311011024 in words is "eleven trillion, thirty billion, three hundred eleven million, eleven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 157 314 471 628 942 1256 1413 1884 2512 2826 3768 5652 7536 10079 11304 20158 22608 30237 40316 48407 60474 80632 90711 96814 120948 145221 161264 181422 193628 241896 290442 362844 387256 435663 483792 580884 725688 774512 871326 1161768 1451376 1582403 1742652 2323536 3164806 3485304 4747209 6329612 6970608 7599899 9494418 12659224 14241627 15199798 18988836 22799697 25318448 28483254 30399596 37977672 45599394 56966508 60799192 68399091 75955344 91198788 113933016 121598384 136798182 182397576 227866032 273596364 364795152 487894153 547192728 975788306 1094385456 1463682459 1951576612 2927364918 3903153224 4391047377 5854729836 7806306448 8782094754 11709459672 17564189508 23418919344 35128379016 70256758032 76599382021 153198764042 229798146063 306397528084 459596292126 612795056168 689394438189 919192584252 1225590112336 1378788876378 1838385168504 2757577752756 3676770337008 5515155505512 11030311011024