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2001122032 = 247132983571
BaseRepresentation
bin111011101000110…
…1011001011110000
312011110110112100211
41313101223023300
513044241401112
6530322553504
7100406154010
oct16721531360
95143415324
102001122032
11937643668
1247a208894
1325b77aca0
1414daabc40
15baa350a7
hex7746b2f0

2001122032 has 160 divisors (see below), whose sum is σ = 5004679680. Its totient is φ = 753822720.

The previous prime is 2001121999. The next prime is 2001122069. The reversal of 2001122032 is 2302211002.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3504307 + ... + 3504877.

It is an arithmetic number, because the mean of its divisors is an integer number (31279248).

Almost surely, 22001122032 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 2001122032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502339840).

2001122032 is an abundant number, since it is smaller than the sum of its proper divisors (3003557648).

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

2001122032 is a wasteful number, since it uses less digits than its factorization.

2001122032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 711 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2001122032 is about 44733.9024901696. The cubic root of 2001122032 is about 1260.1566178038.

Adding to 2001122032 its reverse (2302211002), we get a palindrome (4303333034).

The spelling of 2001122032 in words is "two billion, one million, one hundred twenty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 52 56 58 83 91 104 112 116 166 182 203 208 232 332 364 377 406 464 571 581 664 728 754 812 1079 1142 1162 1328 1456 1508 1624 2158 2284 2324 2407 2639 3016 3248 3997 4316 4568 4648 4814 5278 6032 7423 7553 7994 8632 9136 9296 9628 10556 14846 15106 15988 16559 16849 17264 19256 21112 29692 30212 31291 31976 33118 33698 38512 42224 47393 51961 59384 60424 62582 63952 66236 67396 94786 103922 115913 118768 120848 125164 132472 134792 189572 207844 215267 219037 231826 250328 264944 269584 331751 379144 415688 430534 438074 463652 500656 616109 663502 758288 831376 861068 876148 927304 1232218 1327004 1374397 1506869 1722136 1752296 1854608 2464436 2654008 2748794 3013738 3444272 3504592 4312763 4928872 5308016 5497588 6027476 8625526 9620779 9857744 10995176 12054952 17251052 17867161 19241558 21990352 24109904 34502104 35734322 38483116 69004208 71468644 76966232 125070127 142937288 153932464 250140254 285874576 500280508 1000561016 2001122032