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145010112 = 26313241109
BaseRepresentation
bin10001010010010…
…10110111000000
3101002212021110220
420221022313000
5244110310422
622220023040
73410365002
oct1051126700
9332767426
10145010112
1174944275
1240691a80
1324072900
141538a372
15cae5e5c
hex8a4adc0

145010112 has 168 divisors, whose sum is σ = 429493680. Its totient is φ = 43130880.

The previous prime is 145010093. The next prime is 145010137. The reversal of 145010112 is 211010541.

It is a happy number.

145010112 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145010091 and 145010100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330314 + ... + 1330422.

It is an arithmetic number, because the mean of its divisors is an integer number (2556510).

Almost surely, 2145010112 is an apocalyptic number.

145010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214746840).

145010112 is an abundant number, since it is smaller than the sum of its proper divisors (284483568).

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

145010112 is a wasteful number, since it uses less digits than its factorization.

145010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 145010112 is about 12042.0144494183. The cubic root of 145010112 is about 525.3709994437.

Adding to 145010112 its reverse (211010541), we get a palindrome (356020653).

The spelling of 145010112 in words is "one hundred forty-five million, ten thousand, one hundred twelve".