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13212322123122 = 23212174679128903
BaseRepresentation
bin1100000001000011101111…
…0001000100110101110010
31201210002022110000220222100
43000100323301010311302
53212432313430414442
644033353524321230
72532362442022533
oct300207361046562
951702273026870
1013212322123122
114234350437421
121594777b43216
1374abbbab47b5
143396a081668a
1517da397aa84c
hexc043bc44d72

13212322123122 has 48 divisors (see below), whose sum is σ = 28656565741440. Its totient is φ = 4399513944576.

The previous prime is 13212322123111. The next prime is 13212322123171. The reversal of 13212322123122 is 22132122321231.

13212322123122 is a `hidden beast` number, since 1 + 3 + 2 + 12 + 322 + 12 + 312 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 102433723 + ... + 102562625.

It is an arithmetic number, because the mean of its divisors is an integer number (597011786280).

Almost surely, 213212322123122 is an apocalyptic number.

13212322123122 is an abundant number, since it is smaller than the sum of its proper divisors (15444243618318).

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

13212322123122 is a wasteful number, since it uses less digits than its factorization.

13212322123122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134807 (or 134804 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 13212322123122 its reverse (22132122321231), we get a palindrome (35344444444353).

The spelling of 13212322123122 in words is "thirteen trillion, two hundred twelve billion, three hundred twenty-two million, one hundred twenty-three thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1217 2434 3651 4679 7302 9358 10953 14037 21906 28074 42111 84222 128903 257806 386709 773418 1160127 2320254 5694343 11388686 17083029 34166058 51249087 102498174 156874951 313749902 470624853 603137137 941249706 1206274274 1411874559 1809411411 2823749118 3618822822 5428234233 10856468466 734017895729 1468035791458 2202053687187 4404107374374 6606161061561 13212322123122