Search a number
-
+
2102130654 = 2313377110259
BaseRepresentation
bin111110101001011…
…1111011111011110
312102111112022010220
41331102333133132
513301121140104
6544331542210
7103043546541
oct17522773736
95374468126
102102130654
11989663968
124a7bba966
132766858c0
1415d282858
15c48387d9
hex7d4bf7de

2102130654 has 64 divisors (see below), whose sum is σ = 4715988480. Its totient is φ = 620403840.

The previous prime is 2102130649. The next prime is 2102130673. The reversal of 2102130654 is 4560312012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199777 + ... + 210035.

It is an arithmetic number, because the mean of its divisors is an integer number (73687320).

Almost surely, 22102130654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102130654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2357994240).

2102130654 is an abundant number, since it is smaller than the sum of its proper divisors (2613857826).

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

2102130654 is a wasteful number, since it uses less digits than its factorization.

2102130654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2102130654 is about 45848.9983969116. The cubic root of 2102130654 is about 1281.0121092532.

Adding to 2102130654 its reverse (4560312012), we get a palindrome (6662442666).

The spelling of 2102130654 in words is "two billion, one hundred two million, one hundred thirty thousand, six hundred fifty-four".

Divisors: 1 2 3 6 13 26 37 39 71 74 78 111 142 213 222 426 481 923 962 1443 1846 2627 2769 2886 5254 5538 7881 10259 15762 20518 30777 34151 61554 68302 102453 133367 204906 266734 379583 400101 728389 759166 800202 1138749 1456778 2185167 2277498 4370334 4934579 9469057 9869158 14803737 18938114 26950393 28407171 29607474 53900786 56814342 80851179 161702358 350355109 700710218 1051065327 2102130654