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1013233032 = 2332711317791
BaseRepresentation
bin111100011001001…
…011010110001000
32121121120120102100
4330121023112020
54033341424112
6244313033400
734052224110
oct7431132610
92547516370
101013233032
1147aa41a79
122433b5860
13131bc1496
14987d4040
155de472dc
hex3c64b588

1013233032 has 96 divisors (see below), whose sum is σ = 3164129280. Its totient is φ = 286917120.

The previous prime is 1013233021. The next prime is 1013233043. The reversal of 1013233032 is 2303323101.

It is an interprime number because it is at equal distance from previous prime (1013233021) and next prime (1013233043).

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

It is a junction number, because it is equal to n+sod(n) for n = 1013232996 and 1013233014.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48057 + ... + 65847.

It is an arithmetic number, because the mean of its divisors is an integer number (32959680).

Almost surely, 21013233032 is an apocalyptic number.

1013233032 is a gapful number since it is divisible by the number (12) 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 1013233032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582064640).

1013233032 is an abundant number, since it is smaller than the sum of its proper divisors (2150896248).

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

1013233032 is a wasteful number, since it uses less digits than its factorization.

1013233032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17923 (or 17916 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1013233032 is about 31831.3215559769. The cubic root of 1013233032 is about 1004.3916954436.

Adding to 1013233032 its reverse (2303323101), we get a palindrome (3316556133).

The spelling of 1013233032 in words is "one billion, thirteen million, two hundred thirty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 113 126 168 226 252 339 452 504 678 791 904 1017 1356 1582 2034 2373 2712 3164 4068 4746 6328 7119 8136 9492 14238 17791 18984 28476 35582 53373 56952 71164 106746 124537 142328 160119 213492 249074 320238 373611 426984 498148 640476 747222 996296 1120833 1280952 1494444 2010383 2241666 2988888 4020766 4483332 6031149 8041532 8966664 12062298 14072681 16083064 18093447 24124596 28145362 36186894 42218043 48249192 56290724 72373788 84436086 112581448 126654129 144747576 168872172 253308258 337744344 506616516 1013233032