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1014117182112 = 25389891117517
BaseRepresentation
bin11101100000111100001…
…10000010101010100000
310120221121120101120200210
432300132012002222200
5113103402444311422
62053513510414120
7133160524551246
oct16603606025240
93527546346623
101014117182112
113610a2790851
12144661961340
1374827c55b38
1437125304796
151b5a5ce510c
hexec1e182aa0

1014117182112 has 48 divisors (see below), whose sum is σ = 2662109870112. Its totient is φ = 338032423680.

The previous prime is 1014117182107. The next prime is 1014117182119. The reversal of 1014117182112 is 2112817114101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1014117182112.

It is not an unprimeable number, because it can be changed into a prime (1014117182119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8570778 + ... + 8688294.

It is an arithmetic number, because the mean of its divisors is an integer number (55460622294).

Almost surely, 21014117182112 is an apocalyptic number.

1014117182112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1014117182112 is an abundant number, since it is smaller than the sum of its proper divisors (1647992688000).

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

1014117182112 is a wasteful number, since it uses less digits than its factorization.

1014117182112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207421 (or 207413 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 30.

The spelling of 1014117182112 in words is "one trillion, fourteen billion, one hundred seventeen million, one hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 89891 117517 179782 235034 269673 352551 359564 470068 539346 705102 719128 940136 1078692 1410204 1438256 1880272 2157384 2820408 2876512 3760544 4314768 5640816 8629536 11281632 10563720647 21127441294 31691161941 42254882588 63382323882 84509765176 126764647764 169019530352 253529295528 338039060704 507058591056 1014117182112