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102125412 = 22322836817
BaseRepresentation
bin1100001011001…
…00111101100100
321010011111201200
412011210331210
5202121003122
614044522500
72350023504
oct605447544
9233144650
10102125412
1152713374
122a250430
131820904c
14d7c5a04
158e745ac
hex6164f64

102125412 has 18 divisors (see below), whose sum is σ = 258150438. Its totient is φ = 34041792.

The previous prime is 102125411. The next prime is 102125423. The reversal of 102125412 is 214521201.

It can be written as a sum of positive squares in only one way, i.e., 102090816 + 34596 = 10104^2 + 186^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 (102125411) 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 5 ways as a sum of consecutive naturals, for example, 1418373 + ... + 1418444.

It is an arithmetic number, because the mean of its divisors is an integer number (14341691).

Almost surely, 2102125412 is an apocalyptic number.

102125412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102125412 is an abundant number, since it is smaller than the sum of its proper divisors (156025026).

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

102125412 is a wasteful number, since it uses less digits than its factorization.

102125412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836827 (or 2836822 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 102125412 is about 10105.7118502360. The cubic root of 102125412 is about 467.4242865938.

Adding to 102125412 its reverse (214521201), we get a palindrome (316646613).

The spelling of 102125412 in words is "one hundred two million, one hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 2836817 5673634 8510451 11347268 17020902 25531353 34041804 51062706 102125412