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11525221511020 = 22571371388343283
BaseRepresentation
bin1010011110110110110010…
…1110111110111101101100
31111210210121111120220100201
42213231230232332331230
53002312123201323040
640302340315203244
72266445506313050
oct247555456767554
944723544526321
1011525221511020
113743901098998
1213617b9446524
13657a92954739
142bbb76323c60
1514ebe6667a9a
hexa7b6cbbef6c

11525221511020 has 96 divisors (see below), whose sum is σ = 27865084036608. Its totient is φ = 3922288246272.

The previous prime is 11525221510997. The next prime is 11525221511033. The reversal of 11525221511020 is 2011512252511.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 11525221511020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266254299 + ... + 266297581.

It is an arithmetic number, because the mean of its divisors is an integer number (290261292048).

Almost surely, 211525221511020 is an apocalyptic number.

11525221511020 is a gapful number since it is divisible by the number (10) 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 11525221511020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13932542018304).

11525221511020 is an abundant number, since it is smaller than the sum of its proper divisors (16339862525588).

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

11525221511020 is a wasteful number, since it uses less digits than its factorization.

11525221511020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57319 (or 57317 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 28.

Adding to 11525221511020 its reverse (2011512252511), we get a palindrome (13536733763531).

The spelling of 11525221511020 in words is "eleven trillion, five hundred twenty-five billion, two hundred twenty-one million, five hundred eleven thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 137 140 274 548 685 959 1370 1918 2740 3836 4795 9590 13883 19180 27766 43283 55532 69415 86566 97181 138830 173132 194362 216415 277660 302981 388724 432830 485905 605962 865660 971810 1211924 1514905 1901971 1943620 3029810 3803942 5929771 6059620 7607884 9509855 11859542 13313797 19019710 23719084 26627594 29648855 38039420 41508397 53255188 59297710 66568985 83016794 118595420 133137970 166033588 207541985 266275940 415083970 600897889 830167940 1201795778 2403591556 3004489445 4206285223 6008978890 8412570446 12017957780 16825140892 21031426115 42062852230 82323010793 84125704460 164646021586 329292043172 411615053965 576261075551 823230107930 1152522151102 1646460215860 2305044302204 2881305377755 5762610755510 11525221511020