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33102304242112 = 267293252181133
BaseRepresentation
bin1111000011011001110110…
…00101011110100111000000
311100012112211111110000010101
413201230323011132213000
513314322004341221422
6154222553313412144
76654363646351660
oct741547305364700
9140175744400111
1033102304242112
11a602676851056
12386754686a054
1315616c2c7a851
148262353581a0
153c6100bb5c27
hex1e1b3b15e9c0

33102304242112 has 56 divisors (see below), whose sum is σ = 75327513450336. Its totient is φ = 14138282984448.

The previous prime is 33102304242097. The next prime is 33102304242127. The reversal of 33102304242112 is 21124240320133.

It is an interprime number because it is at equal distance from previous prime (33102304242097) and next prime (33102304242127).

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×331023042421122 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 125959303 + ... + 126221830.

It is an arithmetic number, because the mean of its divisors is an integer number (1345134168756).

Almost surely, 233102304242112 is an apocalyptic number.

33102304242112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33102304242112 is an abundant number, since it is smaller than the sum of its proper divisors (42225209208224).

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

33102304242112 is a wasteful number, since it uses less digits than its factorization.

33102304242112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252181445 (or 252181435 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 33102304242112 its reverse (21124240320133), we get a palindrome (54226544562245).

The spelling of 33102304242112 in words is "thirty-three trillion, one hundred two billion, three hundred four million, two hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 293 448 586 1172 2051 2344 4102 4688 8204 9376 16408 18752 32816 65632 131264 252181133 504362266 1008724532 1765267931 2017449064 3530535862 4034898128 7061071724 8069796256 14122143448 16139592512 28244286896 56488573792 73889071969 112977147584 147778143938 295556287876 517223503783 591112575752 1034447007566 1182225151504 2068894015132 2364450303008 4137788030264 4728900606016 8275576060528 16551152121056 33102304242112