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2002101332 = 2271122325693
BaseRepresentation
bin111011101010101…
…1010010001010100
312011112022021201012
41313111122101110
513100014220312
6530355551352
7100420403060
oct16725322124
95145267635
102002101332
11938152400
1247a5bb558
1325ba3195a
1414dc84aa0
15bab7a322
hex7755a454

2002101332 has 72 divisors (see below), whose sum is σ = 4592853888. Its totient is φ = 746095680.

The previous prime is 2002101319. The next prime is 2002101379. The reversal of 2002101332 is 2331012002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 65078 + ... + 90770.

Almost surely, 22002101332 is an apocalyptic number.

2002101332 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 2002101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2296426944).

2002101332 is an abundant number, since it is smaller than the sum of its proper divisors (2590752556).

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

2002101332 is a wasteful number, since it uses less digits than its factorization.

2002101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25749 (or 25736 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2002101332 is about 44744.8469882287. The cubic root of 2002101332 is about 1260.3621475188.

Adding to 2002101332 its reverse (2331012002), we get a palindrome (4333113334).

The spelling of 2002101332 in words is "two billion, two million, one hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 121 154 161 242 253 308 322 484 506 644 847 1012 1694 1771 2783 3388 3542 5566 7084 11132 19481 25693 38962 51386 77924 102772 179851 282623 359702 565246 590939 719404 1130492 1181878 1978361 2363756 3108853 3956722 4136573 6217706 6500329 7913444 8273146 12435412 13000658 16546292 21761971 26001316 43523942 45502303 71503619 87047884 91004606 143007238 182009212 286014476 500525333 1001050666 2002101332