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111802406720 = 2651720551913
BaseRepresentation
bin110100000011111110…
…0010101011101000000
3101200120200221201120112
41220013330111131000
53312432404003340
6123210013330452
711035365530354
oct1500774253500
9350520851515
10111802406720
11434625a8a44
1219802496a28
13a709a50564
1455a8725464
152d95479065
hex1a07f15740

111802406720 has 56 divisors (see below), whose sum is σ = 281890052424. Its totient is φ = 42090315776.

The previous prime is 111802406711. The next prime is 111802406759. The reversal of 111802406720 is 27604208111.

It is a happy number.

111802406720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12239439424 + 99562967296 = 110632^2 + 315536^2 .

It is a super-3 number, since 3×1118024067203 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 10270517 + ... + 10281396.

Almost surely, 2111802406720 is an apocalyptic number.

111802406720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

111802406720 is an abundant number, since it is smaller than the sum of its proper divisors (170087645704).

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

111802406720 is a wasteful number, since it uses less digits than its factorization.

111802406720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20551947 (or 20551937 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 111802406720 in words is "one hundred eleven billion, eight hundred two million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 20551913 41103826 82207652 102759565 164415304 205519130 328830608 349382521 411038260 657661216 698765042 822076520 1315322432 1397530084 1644153040 1746912605 2795060168 3288306080 3493825210 5590120336 6576612160 6987650420 11180240672 13975300840 22360481344 27950601680 55901203360 111802406720