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1010124032 = 285374449
BaseRepresentation
bin111100001101010…
…100010100000000
32121101201121200012
4330031110110000
54032042432112
6244122244052
734013625011
oct7415242400
92541647605
101010124032
11479209155
12242356628
13131373338
1498225008
155da31022
hex3c354500

1010124032 has 36 divisors (see below), whose sum is σ = 2054373300. Its totient is φ = 495525888.

The previous prime is 1010124023. The next prime is 1010124041. The reversal of 1010124032 is 2304210101.

It is an interprime number because it is at equal distance from previous prime (1010124023) and next prime (1010124041).

It can be written as a sum of positive squares in 2 ways, for example, as 349839616 + 660284416 = 18704^2 + 25696^2 .

It is a super-4 number, since 4×10101240324 (a number of 37 digits) contains 4444 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1010123998 and 1010124016.

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 3 ways as a sum of consecutive naturals, for example, 23657 + ... + 50792.

It is an arithmetic number, because the mean of its divisors is an integer number (57065925).

Almost surely, 21010124032 is an apocalyptic number.

It is an amenable number.

1010124032 is an abundant number, since it is smaller than the sum of its proper divisors (1044249268).

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

1010124032 is an frugal number, since it uses more digits than its factorization.

1010124032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74518 (or 74504 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 1010124032 is about 31782.4484896932. The cubic root of 1010124032 is about 1003.3633525110.

Adding to 1010124032 its reverse (2304210101), we get a palindrome (3314334133).

The spelling of 1010124032 in words is "one billion, ten million, one hundred twenty-four thousand, thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 848 1696 3392 6784 13568 74449 148898 297796 595592 1191184 2382368 3945797 4764736 7891594 9529472 15783188 19058944 31566376 63132752 126265504 252531008 505062016 1010124032