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1010322144 = 253213269851
BaseRepresentation
bin111100001110000…
…100101011100000
32121102002200102200
4330032010223200
54032120302034
6244130413200
734015411416
oct7416045340
92542080380
101010322144
11479333a87
12242431200
13131412570
14982772b6
155da6ea99
hex3c384ae0

1010322144 has 72 divisors (see below), whose sum is σ = 3094123032. Its totient is φ = 310867200.

The previous prime is 1010322143. The next prime is 1010322149. The reversal of 1010322144 is 4412230101.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010322143) 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, 131182 + ... + 138669.

It is an arithmetic number, because the mean of its divisors is an integer number (42973931).

Almost surely, 21010322144 is an apocalyptic number.

It is an amenable number.

1010322144 is an abundant number, since it is smaller than the sum of its proper divisors (2083800888).

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

1010322144 is a wasteful number, since it uses less digits than its factorization.

1010322144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269880 (or 269869 counting only the distinct ones).

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

The square root of 1010322144 is about 31785.5650256528. The cubic root of 1010322144 is about 1003.4289435739.

Adding to 1010322144 its reverse (4412230101), we get a palindrome (5422552245).

The spelling of 1010322144 in words is "one billion, ten million, three hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 269851 539702 809553 1079404 1619106 2158808 2428659 3238212 3508063 4317616 4857318 6476424 7016126 8635232 9714636 10524189 12952848 14032252 19429272 21048378 25905696 28064504 31572567 38858544 42096756 56129008 63145134 77717088 84193512 112258016 126290268 168387024 252580536 336774048 505161072 1010322144