Search a number
-
+
2002130310 = 235374341947
BaseRepresentation
bin111011101010110…
…0001010110000110
312011112100202110110
41313111201112012
513100021132220
6530400333450
7100420553415
oct16725412606
95145322413
102002130310
11938172154
1247a614286
1325ba41bbb
1414dc9147c
15bab83be0
hex77561586

2002130310 has 64 divisors (see below), whose sum is σ = 5049868032. Its totient is φ = 507378816.

The previous prime is 2002130303. The next prime is 2002130323. The reversal of 2002130310 is 130312002.

It is a happy number.

It is a super-2 number, since 2×20021303102 = 8017051556441392200, which contains 22 as substring.

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, 26757 + ... + 68703.

It is an arithmetic number, because the mean of its divisors is an integer number (78904188).

Almost surely, 22002130310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002130310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2524934016).

2002130310 is an abundant number, since it is smaller than the sum of its proper divisors (3047737722).

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

2002130310 is a wasteful number, since it uses less digits than its factorization.

2002130310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42037.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2002130310 is about 44745.1708008808. The cubic root of 2002130310 is about 1260.3682282297.

Adding to 2002130310 its reverse (130312002), we get a palindrome (2132442312).

The spelling of 2002130310 in words is "two billion, two million, one hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 43 74 86 111 129 185 215 222 258 370 430 555 645 1110 1290 1591 3182 4773 7955 9546 15910 23865 41947 47730 83894 125841 209735 251682 419470 629205 1258410 1552039 1803721 3104078 3607442 4656117 5411163 7760195 9018605 9312234 10822326 15520390 18037210 23280585 27055815 46561170 54111630 66737677 133475354 200213031 333688385 400426062 667376770 1001065155 2002130310