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2143132002 = 2321130735257
BaseRepresentation
bin111111110111101…
…1001100101100010
312112100200101102100
41333233121211202
513342120211002
6552354431230
7104052215154
oct17757314542
95470611370
102143132002
119aa818880
124b9892516
1328201015b
141648b6ad4
15c823711c
hex7fbd9962

2143132002 has 48 divisors (see below), whose sum is σ = 5082229152. Its totient is φ = 647300160.

The previous prime is 2143131983. The next prime is 2143132003. The reversal of 2143132002 is 2002313412.

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 (2143132003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43158 + ... + 78414.

It is an arithmetic number, because the mean of its divisors is an integer number (105879774).

Almost surely, 22143132002 is an apocalyptic number.

2143132002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143132002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541114576).

2143132002 is an abundant number, since it is smaller than the sum of its proper divisors (2939097150).

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

2143132002 is a wasteful number, since it uses less digits than its factorization.

2143132002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35583 (or 35580 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2143132002 is about 46293.9737114886. The cubic root of 2143132002 is about 1289.2871092637.

Adding to 2143132002 its reverse (2002313412), we get a palindrome (4145445414).

The spelling of 2143132002 in words is "two billion, one hundred forty-three million, one hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 307 614 921 1842 2763 3377 5526 6754 10131 20262 30393 35257 60786 70514 105771 211542 317313 387827 634626 775654 1163481 2326962 3490443 6980886 10823899 21647798 32471697 64943394 97415091 119062889 194830182 238125778 357188667 714377334 1071566001 2143132002