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11133142130420 = 2251279767448769
BaseRepresentation
bin1010001000000010001011…
…1110110101111011110100
31110102022120211001200112222
42202000202332311323310
52424401133341133140
635402254521301512
72226225432465632
oct242004276657364
943368524050488
1011133142130420
1136025a2546142
1212b9816934898
13629b0a28504b
142a6bc0084352
151448ea2d95b5
hexa2022fb5ef4

11133142130420 has 48 divisors (see below), whose sum is σ = 23566154895360. Its totient is φ = 4417729634304.

The previous prime is 11133142130399. The next prime is 11133142130423. The reversal of 11133142130420 is 2403124133111.

11133142130420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×111331421304202 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11133142130420.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11133142130423) 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, 24583796 + ... + 25032564.

It is an arithmetic number, because the mean of its divisors is an integer number (490961560320).

Almost surely, 211133142130420 is an apocalyptic number.

11133142130420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133142130420 is an abundant number, since it is smaller than the sum of its proper divisors (12433012764940).

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

11133142130420 is a wasteful number, since it uses less digits than its factorization.

11133142130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458672 (or 458670 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 26.

Adding to 11133142130420 its reverse (2403124133111), we get a palindrome (13536266263531).

The spelling of 11133142130420 in words is "eleven trillion, one hundred thirty-three billion, one hundred forty-two million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 9767 19534 39068 48835 97670 195340 448769 897538 1240409 1795076 2243845 2480818 4487690 4961636 6202045 8975380 12404090 24808180 56993663 113987326 227974652 284968315 569936630 1139873260 4383126823 8766253646 17532507292 21915634115 43831268230 87662536460 556657106521 1113314213042 2226628426084 2783285532605 5566571065210 11133142130420