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2132003052 = 223331718969
BaseRepresentation
bin111111100010011…
…1100100011101100
312111120201222101000
41333010330203230
513331243044202
6551320120300
7103555504224
oct17704744354
95446658330
102132003052
119a45074a3
124b6006090
1327c91478a
1416321b084
15c728991c
hex7f13c8ec

2132003052 has 96 divisors (see below), whose sum is σ = 5786726400. Its totient is φ = 677980800.

The previous prime is 2132003051. The next prime is 2132003059. The reversal of 2132003052 is 2503002312.

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

It is not an unprimeable number, because it can be changed into a prime (2132003051) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233224 + ... + 242192.

It is an arithmetic number, because the mean of its divisors is an integer number (60278400).

Almost surely, 22132003052 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 2132003052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2893363200).

2132003052 is an abundant number, since it is smaller than the sum of its proper divisors (3654723348).

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

2132003052 is a wasteful number, since it uses less digits than its factorization.

2132003052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9084 (or 9076 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 2132003052 is about 46173.6185716476. The cubic root of 2132003052 is about 1287.0515462318.

Adding to 2132003052 its reverse (2503002312), we get a palindrome (4635005364).

The spelling of 2132003052 in words is "two billion, one hundred thirty-two million, three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 71 93 108 124 142 186 213 279 284 372 426 558 639 837 852 1116 1278 1674 1917 2201 2556 3348 3834 4402 6603 7668 8804 8969 13206 17938 19809 26412 26907 35876 39618 53814 59427 79236 80721 107628 118854 161442 237708 242163 278039 322884 484326 556078 636799 834117 968652 1112156 1273598 1668234 1910397 2502351 2547196 3336468 3820794 5004702 5731191 7507053 7641588 10009404 11462382 15014106 17193573 19740769 22924764 30028212 34387146 39481538 59222307 68774292 78963076 118444614 177666921 236889228 355333842 533000763 710667684 1066001526 2132003052