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11335820103192 = 23313311172024411
BaseRepresentation
bin1010010011110101001110…
…0001111100111000011000
31111010200201210102111002010
42210331103201330320120
52441211224421300232
640035334233505520
72246662122024504
oct244752341747030
944120653374063
1011335820103192
113680548a18982
121330b5b2722a0
13642c6a3478a0
142b2929aa3304
15149d0d8e20cc
hexa4f5387ce18

11335820103192 has 64 divisors (see below), whose sum is σ = 31504016194560. Its totient is φ = 3375430300800.

The previous prime is 11335820103089. The next prime is 11335820103193. The reversal of 11335820103192 is 29130102853311.

11335820103192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11335820103192.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335820103193) 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, 586002534 + ... + 586021877.

It is an arithmetic number, because the mean of its divisors is an integer number (492250253040).

Almost surely, 211335820103192 is an apocalyptic number.

11335820103192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11335820103192 is an abundant number, since it is smaller than the sum of its proper divisors (20168196091368).

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

11335820103192 is a wasteful number, since it uses less digits than its factorization.

11335820103192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172024464 (or 1172024460 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The spelling of 11335820103192 in words is "eleven trillion, three hundred thirty-five billion, eight hundred twenty million, one hundred three thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 9672 1172024411 2344048822 3516073233 4688097644 7032146466 9376195288 14064292932 15236317343 28128585864 30472634686 36332756741 45708952029 60945269372 72665513482 91417904058 108998270223 121890538744 145331026964 182835808116 217996540446 290662053928 365671616232 435993080892 472325837633 871986161784 944651675266 1416977512899 1889303350532 2833955025798 3778606701064 5667910051596 11335820103192