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1010135224 = 23737598263
BaseRepresentation
bin111100001101010…
…111000010111000
32121101202012000201
4330031113002320
54032043311344
6244122411544
734014002440
oct7415270270
92541665021
101010135224
114792165aa
12242360bb4
13131378467
1498229120
155da344d4
hex3c3570b8

1010135224 has 64 divisors (see below), whose sum is σ = 2261030400. Its totient is φ = 414025344.

The previous prime is 1010135207. The next prime is 1010135227. The reversal of 1010135224 is 4225310101.

1010135224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010135227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118117 + ... + 126379.

It is an arithmetic number, because the mean of its divisors is an integer number (35328600).

Almost surely, 21010135224 is an apocalyptic number.

1010135224 is a gapful number since it is divisible by the number (14) 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 1010135224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130515200).

1010135224 is an abundant number, since it is smaller than the sum of its proper divisors (1250895176).

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

1010135224 is a wasteful number, since it uses less digits than its factorization.

1010135224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8372 (or 8368 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1010135224 is about 31782.6245612284. The cubic root of 1010135224 is about 1003.3670581949.

Adding to 1010135224 its reverse (4225310101), we get a palindrome (5235445325).

The spelling of 1010135224 in words is "one billion, ten million, one hundred thirty-five thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 28 37 56 59 74 118 148 236 259 296 413 472 518 826 1036 1652 2072 2183 3304 4366 8263 8732 15281 16526 17464 30562 33052 57841 61124 66104 115682 122248 231364 305731 462728 487517 611462 975034 1222924 1950068 2140117 2445848 3412619 3900136 4280234 6825238 8560468 13650476 17120936 18038129 27300952 36076258 72152516 126266903 144305032 252533806 505067612 1010135224