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114012141 = 31931113571
BaseRepresentation
bin1101100101110…
…10111111101101
321221112102020220
412302322333231
5213141342031
615151401553
72553041625
oct662727755
9257472226
10114012141
11593a2011
12322232b9
131a80b609
14111db885
15a021596
hex6cbafed

114012141 has 32 divisors (see below), whose sum is σ = 166932480. Its totient is φ = 68947200.

The previous prime is 114012121. The next prime is 114012161. The reversal of 114012141 is 141210411.

It is an interprime number because it is at equal distance from previous prime (114012121) and next prime (114012161).

It is not a de Polignac number, because 114012141 - 29 = 114011629 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 114012141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114012121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199386 + ... + 199956.

It is an arithmetic number, because the mean of its divisors is an integer number (5216640).

Almost surely, 2114012141 is an apocalyptic number.

It is an amenable number.

114012141 is a deficient number, since it is larger than the sum of its proper divisors (52920339).

114012141 is a wasteful number, since it uses less digits than its factorization.

114012141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 114012141 is about 10677.6467913113. The cubic root of 114012141 is about 484.8979712399.

Adding to 114012141 its reverse (141210411), we get a palindrome (255222552).

The spelling of 114012141 in words is "one hundred fourteen million, twelve thousand, one hundred forty-one".

Divisors: 1 3 19 31 57 93 113 339 571 589 1713 1767 2147 3503 6441 10509 10849 17701 32547 53103 64523 66557 193569 199671 336319 1008957 1225937 2000213 3677811 6000639 38004047 114012141