Search a number
-
+
2001351352 = 2371113491509
BaseRepresentation
bin111011101001010…
…0011001010111000
312011110220011221011
41313102203022320
513044321220402
6530331523304
7100411130410
oct16722431270
95143804834
102001351352
1193778a990
1247a2b9534
1325b82b490
1414db2b640
15baa7ced7
hex774a32b8

2001351352 has 128 divisors (see below), whose sum is σ = 5058547200. Its totient is φ = 716889600.

The previous prime is 2001351323. The next prime is 2001351389. The reversal of 2001351352 is 2531531002.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3931674 + ... + 3932182.

It is an arithmetic number, because the mean of its divisors is an integer number (39519900).

Almost surely, 22001351352 is an apocalyptic number.

2001351352 is a gapful number since it is divisible by the number (22) 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 2001351352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2529273600).

2001351352 is an abundant number, since it is smaller than the sum of its proper divisors (3057195848).

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

2001351352 is a wasteful number, since it uses less digits than its factorization.

2001351352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1037 (or 1033 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 2001351352 is about 44736.4655734000. The cubic root of 2001351352 is about 1260.2047521460.

Adding to 2001351352 its reverse (2531531002), we get a palindrome (4532882354).

It can be divided in two parts, 2001 and 351352, that added together give a palindrome (353353).

The spelling of 2001351352 in words is "two billion, one million, three hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 491 509 572 616 728 982 1001 1018 1144 1964 2002 2036 3437 3563 3928 4004 4072 5401 5599 6383 6617 6874 7126 8008 10802 11198 12766 13234 13748 14252 21604 22396 25532 26468 27496 28504 37807 39193 43208 44681 44792 46319 51064 52936 70213 72787 75614 78386 89362 92638 140426 145574 151228 156772 178724 185276 249919 280852 291148 302456 313544 357448 370552 491491 499838 509509 561704 582296 982982 999676 1019018 1749433 1965964 1999352 2038036 2749109 3248947 3498866 3931928 4076072 5498218 6497894 6997732 10996436 12995788 13995464 19243763 21992872 22742629 25991576 35738417 38487526 45485258 71476834 76975052 90970516 142953668 153950104 181941032 250168919 285907336 500337838 1000675676 2001351352