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101045412 = 223213215909
BaseRepresentation
bin1100000010111…
…01010010100100
321001010122020200
412001131102210
5201331423122
614005430500
72334605016
oct601352244
9231118220
10101045412
1152045a06
1229a0b430
1317c1b5b0
14d5c41b6
158d0e5ac
hex605d4a4

101045412 has 36 divisors (see below), whose sum is σ = 275069340. Its totient is φ = 31090752.

The previous prime is 101045411. The next prime is 101045419. The reversal of 101045412 is 214540101.

It can be written as a sum of positive squares in 2 ways, for example, as 4691556 + 96353856 = 2166^2 + 9816^2 .

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 not an unprimeable number, because it can be changed into a prime (101045411) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 107487 + ... + 108422.

It is an arithmetic number, because the mean of its divisors is an integer number (7640815).

Almost surely, 2101045412 is an apocalyptic number.

101045412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101045412 is an abundant number, since it is smaller than the sum of its proper divisors (174023928).

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

101045412 is a wasteful number, since it uses less digits than its factorization.

101045412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215932 (or 215927 counting only the distinct ones).

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

The square root of 101045412 is about 10052.1346986598. The cubic root of 101045412 is about 465.7707370601.

Adding to 101045412 its reverse (214540101), we get a palindrome (315585513).

The spelling of 101045412 in words is "one hundred one million, forty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 215909 431818 647727 863636 1295454 1943181 2590908 2806817 3886362 5613634 7772724 8420451 11227268 16840902 25261353 33681804 50522706 101045412