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211112320223120 = 24523271811422113
BaseRepresentation
bin110000000000000101101010…
…110110101100011110010000
31000200111010210120121021000112
4300000011222312230132100
5210132331012434114440
62024555354441140452
762316235045611401
oct6000055266543620
91020433716537015
10211112320223120
11612a3261096338
121b816b94a8a728
1390a4a637b5b04
143a1bc685939a8
1519617b13a9965
hexc0016adac790

211112320223120 has 80 divisors (see below), whose sum is σ = 512179944135552. Its totient is φ = 80772920954880.

The previous prime is 211112320223107. The next prime is 211112320223177. The reversal of 211112320223120 is 21322023211112.

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

It is a Harshad number since it is a multiple of its sum of digits (23).

It is an unprimeable number.

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, 499921184 + ... + 500343296.

Almost surely, 2211112320223120 is an apocalyptic number.

211112320223120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211112320223120 is an abundant number, since it is smaller than the sum of its proper divisors (301067623912432).

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

211112320223120 is a wasteful number, since it uses less digits than its factorization.

211112320223120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693960 (or 693954 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 211112320223120 its reverse (21322023211112), we get a palindrome (232434343434232).

The spelling of 211112320223120 in words is "two hundred eleven trillion, one hundred twelve billion, three hundred twenty million, two hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 271811 422113 543622 844226 1087244 1359055 1688452 2110565 2174488 2718110 3376904 4221130 4348976 5436220 6251653 6753808 8442260 9708599 10872440 12503306 16884520 19417198 21744880 25006612 31258265 33769040 38834396 48542995 50013224 62516530 77668792 97085990 100026448 125033060 155337584 194171980 250066120 388343960 500132240 776687920 114734956643 229469913286 458939826572 573674783215 917879653144 1147349566430 1835759306288 2294699132860 2638904002789 4589398265720 5277808005578 9178796531440 10555616011156 13194520013945 21111232022312 26389040027890 42222464044624 52778080055780 105556160111560 211112320223120