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116252100 = 223252129169
BaseRepresentation
bin1101110110111…
…01110111000100
322002202012220100
412323131313010
5214230031400
615311404100
72611061256
oct673356704
9262665810
10116252100
115a691a18
1232b23630
131b114033
1411621cd6
15a315100
hex6edddc4

116252100 has 54 divisors (see below), whose sum is σ = 364388570. Its totient is φ = 31000320.

The previous prime is 116252099. The next prime is 116252107. The reversal of 116252100 is 1252611.

It can be written as a sum of positive squares in 3 ways, for example, as 576 + 116251524 = 24^2 + 10782^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (116252107) 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 17 ways as a sum of consecutive naturals, for example, 63685 + ... + 65484.

Almost surely, 2116252100 is an apocalyptic number.

116252100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

116252100 is an abundant number, since it is smaller than the sum of its proper divisors (248136470).

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

116252100 is a wasteful number, since it uses less digits than its factorization.

116252100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129189 (or 129179 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 116252100 is about 10782.0267111522. The cubic root of 116252100 is about 488.0529426123.

The spelling of 116252100 in words is "one hundred sixteen million, two hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 129169 258338 387507 516676 645845 775014 1162521 1291690 1550028 1937535 2325042 2583380 3229225 3875070 4650084 5812605 6458450 7750140 9687675 11625210 12916900 19375350 23250420 29063025 38750700 58126050 116252100