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1012230144 = 2113254917
BaseRepresentation
bin111100010101010…
…110100000000000
32121112200121201100
4330111112200000
54033112331034
6244235334400
734040546202
oct7425264000
92545617640
101012230144
1147a417542
12242bb1400
1313192cb63
1498612772
155dcea099
hex3c556800

1012230144 has 72 divisors (see below), whose sum is σ = 2923559730. Its totient is φ = 337403904.

The previous prime is 1012230113. The next prime is 1012230169. The reversal of 1012230144 is 4410322101.

It can be written as a sum of positive squares in only one way, i.e., 914457600 + 97772544 = 30240^2 + 9888^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

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 5 ways as a sum of consecutive naturals, for example, 9027 + ... + 45890.

Almost surely, 21012230144 is an apocalyptic number.

It is an amenable number.

1012230144 is an abundant number, since it is smaller than the sum of its proper divisors (1911329586).

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

1012230144 is an equidigital number, since it uses as much as digits as its factorization.

1012230144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54945 (or 54922 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1012230144 is about 31815.5644928705. The cubic root of 1012230144 is about 1004.0602070740.

Adding to 1012230144 its reverse (4410322101), we get a palindrome (5422552245).

The spelling of 1012230144 in words is "one billion, twelve million, two hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4608 6144 9216 18432 54917 109834 164751 219668 329502 439336 494253 659004 878672 988506 1318008 1757344 1977012 2636016 3514688 3954024 5272032 7029376 7908048 10544064 14058752 15816096 21088128 28117504 31632192 42176256 56235008 63264384 84352512 112470016 126528768 168705024 253057536 337410048 506115072 1012230144