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114101616 = 2432377117
BaseRepresentation
bin1101100110100…
…00110101110000
321221200221222210
412303100311300
5213202222431
615153332120
72553563526
oct663206560
9257627883
10114101616
1159453262
1232267040
131a840265
1411222316
15a03cd46
hex6cd0d70

114101616 has 20 divisors (see below), whose sum is σ = 294762632. Its totient is φ = 38033856.

The previous prime is 114101591. The next prime is 114101641. The reversal of 114101616 is 616101411.

It is an interprime number because it is at equal distance from previous prime (114101591) and next prime (114101641).

It is a super-2 number, since 2×1141016162 = 26038357547622912, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114101592 and 114101601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1188511 + ... + 1188606.

Almost surely, 2114101616 is an apocalyptic number.

114101616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

114101616 is an abundant number, since it is smaller than the sum of its proper divisors (180661016).

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

114101616 is a wasteful number, since it uses less digits than its factorization.

114101616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377128 (or 2377122 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 114101616 is about 10681.8357972775. The cubic root of 114101616 is about 485.0247849310.

The spelling of 114101616 in words is "one hundred fourteen million, one hundred one thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 48 2377117 4754234 7131351 9508468 14262702 19016936 28525404 38033872 57050808 114101616