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114101532 = 22324373709
BaseRepresentation
bin1101100110100…
…00110100011100
321221200221212200
412303100310130
5213202222112
615153331500
72553563346
oct663206434
9257627780
10114101532
1159453196
1232266b90
131a8401cc
1411222296
15a03ccdc
hex6cd0d1c

114101532 has 36 divisors (see below), whose sum is σ = 295134840. Its totient is φ = 37148832.

The previous prime is 114101513. The next prime is 114101539. The reversal of 114101532 is 235101411.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114101539) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 35307 + ... + 38402.

It is an arithmetic number, because the mean of its divisors is an integer number (8198190).

Almost surely, 2114101532 is an apocalyptic number.

114101532 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114101532 is an abundant number, since it is smaller than the sum of its proper divisors (181033308).

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

114101532 is a wasteful number, since it uses less digits than its factorization.

114101532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73762 (or 73757 counting only the distinct ones).

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

The square root of 114101532 is about 10681.8318653684. The cubic root of 114101532 is about 485.0246659082.

Adding to 114101532 its reverse (235101411), we get a palindrome (349202943).

The spelling of 114101532 in words is "one hundred fourteen million, one hundred one thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 43 86 129 172 258 387 516 774 1548 73709 147418 221127 294836 442254 663381 884508 1326762 2653524 3169487 6338974 9508461 12677948 19016922 28525383 38033844 57050766 114101532