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116102835 = 3353172713
BaseRepresentation
bin1101110101110…
…01011010110011
322002110122011000
412322321122303
5214210242320
615304253043
72606600142
oct672713263
9262418130
10116102835
115a59a862
1232a71183
131b091104
14115c3759
15a2d5c90
hex6eb96b3

116102835 has 32 divisors (see below), whose sum is σ = 207132480. Its totient is φ = 61703424.

The previous prime is 116102803. The next prime is 116102839. The reversal of 116102835 is 538201611.

116102835 is a `hidden beast` number, since 11 + 610 + 2 + 8 + 35 = 666.

It is not a de Polignac number, because 116102835 - 25 = 116102803 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 116102799 and 116102808.

It is not an unprimeable number, because it can be changed into a prime (116102839) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 41439 + ... + 44151.

It is an arithmetic number, because the mean of its divisors is an integer number (6472890).

Almost surely, 2116102835 is an apocalyptic number.

116102835 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

116102835 is a deficient number, since it is larger than the sum of its proper divisors (91029645).

116102835 is a wasteful number, since it uses less digits than its factorization.

116102835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044 (or 3038 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 116102835 is about 10775.1025517162. The cubic root of 116102835 is about 487.8439702621.

The spelling of 116102835 in words is "one hundred sixteen million, one hundred two thousand, eight hundred thirty-five".

Divisors: 1 3 5 9 15 27 45 135 317 951 1585 2713 2853 4755 8139 8559 13565 14265 24417 40695 42795 73251 122085 366255 860021 2580063 4300105 7740189 12900315 23220567 38700945 116102835