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1012023232 = 261143101331
BaseRepresentation
bin111100010100100…
…011111111000000
32121112022002212221
4330110203333000
54033034220412
6244231100424
734036025023
oct7424437700
92545262787
101012023232
1147a296040
12242b11714
1313188991c
149859b1ba
155dca8b07
hex3c523fc0

1012023232 has 112 divisors (see below), whose sum is σ = 2270784384. Its totient is φ = 443520000.

The previous prime is 1012023193. The next prime is 1012023263. The reversal of 1012023232 is 2323202101.

1012023232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3057307 + ... + 3057637.

Almost surely, 21012023232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1012023232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135392192).

1012023232 is an abundant number, since it is smaller than the sum of its proper divisors (1258761152).

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

1012023232 is a wasteful number, since it uses less digits than its factorization.

1012023232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1012023232 is about 31812.3125849096. The cubic root of 1012023232 is about 1003.9917884230.

Adding to 1012023232 its reverse (2323202101), we get a palindrome (3335225333).

The spelling of 1012023232 in words is "one billion, twelve million, twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 43 44 64 86 88 101 172 176 202 331 344 352 404 473 662 688 704 808 946 1111 1324 1376 1616 1892 2222 2648 2752 3232 3641 3784 4343 4444 5296 6464 7282 7568 8686 8888 10592 14233 14564 15136 17372 17776 21184 28466 29128 30272 33431 34744 35552 47773 56932 58256 66862 69488 71104 95546 113864 116512 133724 138976 156563 191092 227728 233024 267448 277952 313126 367741 382184 455456 534896 626252 735482 764368 910912 1069792 1252504 1437533 1470964 1528736 2139584 2505008 2875066 2941928 3057472 5010016 5750132 5883856 10020032 11500264 11767712 15812863 23000528 23535424 31625726 46001056 63251452 92002112 126502904 253005808 506011616 1012023232