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11302232211120 = 2435132637355049
BaseRepresentation
bin1010010001111000000110…
…0010010011111010110000
31111000111000222212210001110
42210132001202103322300
52440133432421223440
640012101312433320
72244362564453064
oct244360142237260
944014028783043
1011302232211120
113668282486494
121326546848840
1363ca46851836
142b1060d3baa4
15148ee4ce9080
hexa4781893eb0

11302232211120 has 80 divisors (see below), whose sum is σ = 35037282693600. Its totient is φ = 3013897377792.

The previous prime is 11302232211107. The next prime is 11302232211121. The reversal of 11302232211120 is 2111223220311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (11302232211121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31655356 + ... + 32010404.

It is an arithmetic number, because the mean of its divisors is an integer number (437966033670).

Almost surely, 211302232211120 is an apocalyptic number.

11302232211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11302232211120 is an abundant number, since it is smaller than the sum of its proper divisors (23735050482480).

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

11302232211120 is a wasteful number, since it uses less digits than its factorization.

11302232211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487702 (or 487696 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 11302232211120 its reverse (2111223220311), we get a palindrome (13413455431431).

The spelling of 11302232211120 in words is "eleven trillion, three hundred two billion, two hundred thirty-two million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 132637 265274 355049 397911 530548 663185 710098 795822 1061096 1065147 1326370 1420196 1591644 1775245 1989555 2122192 2130294 2652740 2840392 3183288 3550490 3979110 4260588 5305480 5325735 5680784 6366576 7100980 7958220 8521176 10610960 10651470 14201960 15916440 17042352 21302940 28403920 31832880 42605880 85211760 47092634213 94185268426 141277902639 188370536852 235463171065 282555805278 376741073704 470926342130 565111610556 706389513195 753482147408 941852684260 1130223221112 1412779026390 1883705368520 2260446442224 2825558052780 3767410737040 5651116105560 11302232211120