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1012001232 = 243116728607
BaseRepresentation
bin111100010100011…
…110100111010000
32121112020222201010
4330110132213100
54033033014412
6244230410520
734035603624
oct7424364720
92545228633
101012001232
1147a280560
12242b00a40
1313187c8c8
1498593184
155dca233c
hex3c51e9d0

1012001232 has 80 divisors (see below), whose sum is σ = 2894671872. Its totient is φ = 302079360.

The previous prime is 1012001201. The next prime is 1012001257. The reversal of 1012001232 is 2321002101.

1012001232 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 (12).

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, 21073 + ... + 49679.

Almost surely, 21012001232 is an apocalyptic number.

1012001232 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 1012001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447335936).

1012001232 is an abundant number, since it is smaller than the sum of its proper divisors (1882670640).

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

1012001232 is a wasteful number, since it uses less digits than its factorization.

1012001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28696 (or 28690 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1012001232 is about 31811.9668049619. The cubic root of 1012001232 is about 1003.9845132344.

Adding to 1012001232 its reverse (2321002101), we get a palindrome (3333003333).

The spelling of 1012001232 in words is "one billion, twelve million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 67 88 132 134 176 201 264 268 402 528 536 737 804 1072 1474 1608 2211 2948 3216 4422 5896 8844 11792 17688 28607 35376 57214 85821 114428 171642 228856 314677 343284 457712 629354 686568 944031 1258708 1373136 1888062 1916669 2517416 3776124 3833338 5034832 5750007 7552248 7666676 11500014 15104496 15333352 21083359 23000028 30666704 42166718 46000056 63250077 84333436 92000112 126500154 168666872 253000308 337333744 506000616 1012001232