Search a number
-
+
2141210010 = 235179743283
BaseRepresentation
bin111111110100000…
…0100010110011010
312112020001201221110
41333220010112122
513341122210020
6552245321150
7104026661532
oct17750042632
95466051843
102141210010
119a9725855
124b91061b6
132817b9394
141645364c2
15c7ea78e0
hex7fa0459a

2141210010 has 64 divisors (see below), whose sum is σ = 5497414272. Its totient is φ = 531849216.

The previous prime is 2141210003. The next prime is 2141210033. The reversal of 2141210010 is 100121412.

It is a happy 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, 27829 + ... + 71111.

It is an arithmetic number, because the mean of its divisors is an integer number (85897098).

Almost surely, 22141210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2748707136).

2141210010 is an abundant number, since it is smaller than the sum of its proper divisors (3356204262).

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

2141210010 is a wasteful number, since it uses less digits than its factorization.

2141210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43407.

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2141210010 is about 46273.2105002452. The cubic root of 2141210010 is about 1288.9015768365.

Adding to 2141210010 its reverse (100121412), we get a palindrome (2241331422).

The spelling of 2141210010 in words is "two billion, one hundred forty-one million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 97 102 170 194 255 291 485 510 582 970 1455 1649 2910 3298 4947 8245 9894 16490 24735 43283 49470 86566 129849 216415 259698 432830 649245 735811 1298490 1471622 2207433 3679055 4198451 4414866 7358110 8396902 11037165 12595353 20992255 22074330 25190706 41984510 62976765 71373667 125953530 142747334 214121001 356868335 428242002 713736670 1070605005 2141210010