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1331207226128 = 241317599363659
BaseRepresentation
bin10011010111110010001…
…000100100001100010000
311201021002010020210112002
4103113302020210030100
5133302303022214003
62455314222453132
7165114361503053
oct23276210441420
94637063223462
101331207226128
1147361a85806a
12195bb67341a8
13986bc613b10
1448606084a9a
1524963a15a88
hex135f2224310

1331207226128 has 40 divisors (see below), whose sum is σ = 2777780544000. Its totient is φ = 614366734464.

The previous prime is 1331207226101. The next prime is 1331207226149. The reversal of 1331207226128 is 8216227021331.

It is a super-2 number, since 2×13312072261282 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1331207226091 and 1331207226100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3478763 + ... + 3842421.

It is an arithmetic number, because the mean of its divisors is an integer number (69444513600).

Almost surely, 21331207226128 is an apocalyptic number.

It is an amenable number.

1331207226128 is an abundant number, since it is smaller than the sum of its proper divisors (1446573317872).

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

1331207226128 is a wasteful number, since it uses less digits than its factorization.

1331207226128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381279 (or 381273 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 38.

The spelling of 1331207226128 in words is "one trillion, three hundred thirty-one billion, two hundred seven million, two hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 17599 35198 70396 140792 228787 281584 363659 457574 727318 915148 1454636 1830296 2909272 3660592 4727567 5818544 9455134 18910268 37820536 75641072 6400034741 12800069482 25600138964 51200277928 83200451633 102400555856 166400903266 332801806532 665603613064 1331207226128