Search a number
-
+
2100632534 = 2711134912137
BaseRepresentation
bin111110100110101…
…0001101111010110
312102101201012002222
41331031101233112
513300230220114
6544235502342
7103025040050
oct17515215726
95371635088
102100632534
11988830350
124a75b79b2
1327627ca40
1415cdb28d0
15c463e98e
hex7d351bd6

2100632534 has 64 divisors (see below), whose sum is σ = 4241244672. Its totient is φ = 753580800.

The previous prime is 2100632507. The next prime is 2100632543. The reversal of 2100632534 is 4352360012.

It is a super-2 number, since 2×21006325342 = 8825314085798522312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 981914 + ... + 984050.

It is an arithmetic number, because the mean of its divisors is an integer number (66269448).

Almost surely, 22100632534 is an apocalyptic number.

2100632534 is an abundant number, since it is smaller than the sum of its proper divisors (2140612138).

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

2100632534 is a wasteful number, since it uses less digits than its factorization.

2100632534 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2661.

The product of its (nonzero) digits is 4320, while the sum is 26.

The square root of 2100632534 is about 45832.6579416904. The cubic root of 2100632534 is about 1280.7077250745.

Adding to 2100632534 its reverse (4352360012), we get a palindrome (6452992546).

The spelling of 2100632534 in words is "two billion, one hundred million, six hundred thirty-two thousand, five hundred thirty-four".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 491 982 1001 2002 2137 3437 4274 5401 6383 6874 10802 12766 14959 23507 27781 29918 37807 44681 47014 55562 70213 75614 89362 140426 164549 194467 305591 329098 388934 491491 611182 982982 1049267 2098534 2139137 4278274 7344869 11541937 13640471 14689738 23083874 27280942 80793559 95483297 150045181 161587118 190966594 300090362 1050316267 2100632534