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1030001232 = 2431359101277
BaseRepresentation
bin111101011001001…
…001001001010000
32122210010111001210
4331121021021100
54102140014412
6250112300120
734344603021
oct7531111120
92583114053
101030001232
11489455197
12248b41640
131355128b0
149ab1ac48
156065a83c
hex3d649250

1030001232 has 160 divisors (see below), whose sum is σ = 2953560960. Its totient is φ = 307353600.

The previous prime is 1030001171. The next prime is 1030001237. The reversal of 1030001232 is 2321000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030001237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3718278 + ... + 3718554.

It is an arithmetic number, because the mean of its divisors is an integer number (18459756).

Almost surely, 21030001232 is an apocalyptic number.

1030001232 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 1030001232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476780480).

1030001232 is an abundant number, since it is smaller than the sum of its proper divisors (1923559728).

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

1030001232 is a wasteful number, since it uses less digits than its factorization.

1030001232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 1030001232 is about 32093.6322656068. The cubic root of 1030001232 is about 1009.9020367031.

Adding to 1030001232 its reverse (2321000301), we get a palindrome (3351001533).

The spelling of 1030001232 in words is "one billion, thirty million, one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 101 104 118 156 177 202 208 236 277 303 312 354 404 472 554 606 624 708 767 808 831 944 1108 1212 1313 1416 1534 1616 1662 2216 2301 2424 2626 2832 3068 3324 3601 3939 4432 4602 4848 5252 5959 6136 6648 7202 7878 9204 10504 10803 11918 12272 13296 14404 15756 16343 17877 18408 21008 21606 23836 27977 28808 31512 32686 35754 36816 43212 47672 49029 55954 57616 63024 65372 71508 77467 83931 86424 95344 98058 111908 130744 143016 154934 167862 172848 196116 212459 223816 232401 261488 286032 309868 335724 363701 392232 424918 447632 464802 619736 637377 671448 727402 784464 849836 929604 1091103 1239472 1274754 1342896 1454804 1650643 1699672 1859208 2182206 2549508 2909608 3301286 3399344 3718416 4364412 4951929 5099016 5819216 6602572 8728824 9903858 10198032 13205144 17457648 19807716 21458359 26410288 39615432 42916718 64375077 79230864 85833436 128750154 171666872 257500308 343333744 515000616 1030001232