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2002041132 = 2237133159141
BaseRepresentation
bin111011101010100…
…1011100100101100
312011112012020010120
41313111023210230
513100010304012
6530354404540
7100420032420
oct16725134454
95145166116
102002041132
11938111153
1247a590750
1325ba10430
1414dc6ab80
15bab6758c
hex7754b92c

2002041132 has 96 divisors (see below), whose sum is σ = 5935017984. Its totient is φ = 510969600.

The previous prime is 2002041127. The next prime is 2002041203. The reversal of 2002041132 is 2311402002.

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, 4282 + ... + 63422.

It is an arithmetic number, because the mean of its divisors is an integer number (61823104).

Almost surely, 22002041132 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 2002041132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2967508992).

2002041132 is an abundant number, since it is smaller than the sum of its proper divisors (3932976852).

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

2002041132 is a wasteful number, since it uses less digits than its factorization.

2002041132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59199 (or 59197 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2002041132 is about 44744.1742800110. The cubic root of 2002041132 is about 1260.3495150310.

Adding to 2002041132 its reverse (2311402002), we get a palindrome (4313443134).

The spelling of 2002041132 in words is "two billion, two million, forty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 124 156 182 186 217 273 364 372 403 434 546 651 806 868 1092 1209 1302 1612 2418 2604 2821 4836 5642 8463 11284 16926 33852 59141 118282 177423 236564 354846 413987 709692 768833 827974 1241961 1537666 1655948 1833371 2306499 2483922 3075332 3666742 4612998 4967844 5381831 5500113 7333484 9225996 10763662 11000226 12833597 16145493 21527324 22000452 23833823 25667194 32290986 38500791 47667646 51334388 64581972 71501469 77001582 95335292 143002938 154003164 166836761 286005876 333673522 500510283 667347044 1001020566 2002041132