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13122000011322 = 2325345730097849
BaseRepresentation
bin1011111011110011010000…
…1001100100000000111010
31201110110011202001020112100
42332330310021210000322
53204442324000330242
643524055200124230
72523014251523526
oct276746411440072
951413152036470
1013122000011322
1141aa010a09a34
12157b16b306676
13742526322027
14335172c2ad86
1517b50000354c
hexbef3426403a

13122000011322 has 48 divisors (see below), whose sum is σ = 29030821021800. Its totient is φ = 4282081030656.

The previous prime is 13122000011321. The next prime is 13122000011339. The reversal of 13122000011322 is 22311000022131.

13122000011322 is a `hidden beast` number, since 1 + 312 + 20 + 0 + 0 + 0 + 11 + 322 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10677464634321 + 2444535377001 = 3267639^2 + 1563501^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13122000011295 and 13122000011304.

It is not an unprimeable number, because it can be changed into a prime (13122000011321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14612947 + ... + 15484902.

Almost surely, 213122000011322 is an apocalyptic number.

13122000011322 is an abundant number, since it is smaller than the sum of its proper divisors (15908821010478).

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

13122000011322 is a wasteful number, since it uses less digits than its factorization.

13122000011322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30098367 (or 30098364 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 13122000011322 its reverse (22311000022131), we get a palindrome (35433000033453).

The spelling of 13122000011322 in words is "thirteen trillion, one hundred twenty-two billion, eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 53 106 159 318 457 477 914 954 1371 2742 4113 8226 24221 48442 72663 145326 217989 435978 30097849 60195698 90293547 180587094 270880641 541761282 1595185997 3190371994 4785557991 9571115982 13754716993 14356673973 27509433986 28713347946 41264150979 82528301958 123792452937 247584905874 729000000629 1458000001258 2187000001887 4374000003774 6561000005661 13122000011322