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1316223106352 = 2472112118711689
BaseRepresentation
bin10011001001110101000…
…000101011110100110000
311122211101211222122101222
4103021311000223310300
5133031111103400402
62444355313044212
7164044143543500
oct23116500536460
94584354878358
101316223106352
114682306a2100
12193114556668
1397172167c5b
14479c3dd5a00
15243882db7a2
hex1327502bd30

1316223106352 has 180 divisors, whose sum is σ = 3263766964920. Its totient is φ = 512338337280.

The previous prime is 1316223106351. The next prime is 1316223106379. The reversal of 1316223106352 is 2536013226131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1316223106351) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112597724 + ... + 112609412.

It is an arithmetic number, because the mean of its divisors is an integer number (18132038694).

Almost surely, 21316223106352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1316223106352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1631883482460).

1316223106352 is an abundant number, since it is smaller than the sum of its proper divisors (1947543858568).

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

1316223106352 is a wasteful number, since it uses less digits than its factorization.

1316223106352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12920 (or 12896 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 1316223106352 in words is "one trillion, three hundred sixteen billion, two hundred twenty-three million, one hundred six thousand, three hundred fifty-two".