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2001126132 = 22321923131971
BaseRepresentation
bin111011101000110…
…1100001011110100
312011110110201222200
41313101230023310
513044242014012
6530323024500
7100406201655
oct16721541364
95143421880
102001126132
11937646755
1247a20b130
1325b77cb05
1414daad52c
15baa363dc
hex7746c2f4

2001126132 has 144 divisors (see below), whose sum is σ = 5604318720. Its totient is φ = 599227200.

The previous prime is 2001126089. The next prime is 2001126133. The reversal of 2001126132 is 2316211002.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001126133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2060407 + ... + 2061377.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 22001126132 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 2001126132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2802159360).

2001126132 is an abundant number, since it is smaller than the sum of its proper divisors (3603192588).

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

2001126132 is a wasteful number, since it uses less digits than its factorization.

2001126132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 2001126132 is about 44733.9483166867. The cubic root of 2001126132 is about 1260.1574784274.

Adding to 2001126132 its reverse (2316211002), we get a palindrome (4317337134).

The spelling of 2001126132 in words is "two billion, one million, one hundred twenty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 131 138 171 207 228 262 276 342 393 414 437 524 684 786 828 874 971 1179 1311 1572 1748 1942 2358 2489 2622 2913 3013 3884 3933 4716 4978 5244 5826 6026 7467 7866 8739 9039 9956 11652 12052 14934 15732 17478 18078 18449 22333 22401 27117 29868 34956 36156 36898 44666 44802 54234 55347 57247 66999 73796 89332 89604 108468 110694 114494 127201 133998 166041 171741 200997 221388 228988 254402 267996 332082 343482 381603 401994 424327 508804 515223 664164 686964 763206 803988 848654 1030446 1144809 1272981 1526412 1697308 2060892 2289618 2416819 2545962 2925623 3818943 4579236 4833638 5091924 5851246 7250457 7637886 8776869 9667276 11702492 14500914 15275772 17553738 21751371 26330607 29001828 35107476 43502742 52661214 55586837 87005484 105322428 111173674 166760511 222347348 333521022 500281533 667042044 1000563066 2001126132