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1102148652816 = 2432123718713307
BaseRepresentation
bin10000000010011101001…
…011011100111100010000
310220100211122010122021200
4100002131023130330100
5121024200023342231
62202153050351200
7142425161655321
oct20023513347420
93810748118250
101102148652816
113954671aa722
1215972b42b500
137cc16c9c283
143b4b69ba448
151da09428be6
hex1009d2dcf10

1102148652816 has 120 divisors (see below), whose sum is σ = 3089562862464. Its totient is φ = 366778748160.

The previous prime is 1102148652809. The next prime is 1102148652893. The reversal of 1102148652816 is 6182568412011.

1102148652816 is a `hidden beast` number, since 1 + 10 + 21 + 4 + 86 + 528 + 16 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333275835 + ... + 333279141.

Almost surely, 21102148652816 is an apocalyptic number.

1102148652816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1102148652816 is an abundant number, since it is smaller than the sum of its proper divisors (1987414209648).

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

1102148652816 is a wasteful number, since it uses less digits than its factorization.

1102148652816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6429 (or 6420 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 1102148652816 in words is "one trillion, one hundred two billion, one hundred forty-eight million, six hundred fifty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1237 1871 2474 3307 3711 3742 4948 5613 6614 7422 7484 9896 9921 11133 11226 13228 14844 14968 16839 19792 19842 22266 22452 26456 29688 29763 29936 33678 39684 44532 44904 52912 59376 59526 67356 79368 89064 89808 119052 134712 158736 178128 238104 269424 476208 2314427 4090759 4628854 6187397 6943281 8181518 9257708 12272277 12374794 13886562 16363036 18515416 18562191 20829843 24544554 24749588 27773124 32726072 36816831 37030832 37124382 41659686 49089108 49499176 55546248 55686573 65452144 73633662 74248764 83319372 98178216 98998352 111092496 111373146 147267324 148497528 166638744 196356432 222746292 294534648 296995056 333277488 445492584 589069296 890985168 7653810089 15307620178 22961430267 30615240356 45922860534 61230480712 68884290801 91845721068 122460961424 137768581602 183691442136 275537163204 367382884272 551074326408 1102148652816