Search a number
-
+
2100125533110 = 23511101106958943
BaseRepresentation
bin11110100011111001001…
…111001000001110110110
321102202210100200221021020
4132203321033020032312
5233402024114024420
64244441230402010
7304505032331223
oct36437117101666
97382710627236
102100125533110
1173a727127860
1229b027960306
1312306c087357
147390a46a94a
1539968262340
hex1e8f93c83b6

2100125533110 has 128 divisors (see below), whose sum is σ = 5558240010240. Its totient is φ = 503600448000.

The previous prime is 2100125533081. The next prime is 2100125533133. The reversal of 2100125533110 is 113355210012.

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 63 ways as a sum of consecutive naturals, for example, 35600299 + ... + 35659241.

It is an arithmetic number, because the mean of its divisors is an integer number (43423750080).

Almost surely, 22100125533110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2100125533110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2779120005120).

2100125533110 is an abundant number, since it is smaller than the sum of its proper divisors (3458114477130).

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

2100125533110 is a wasteful number, since it uses less digits than its factorization.

2100125533110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60134.

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 2100125533110 in words is "two trillion, one hundred billion, one hundred twenty-five million, five hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 101 110 165 202 303 330 505 606 1010 1069 1111 1515 2138 2222 3030 3207 3333 5345 5555 6414 6666 10690 11110 11759 16035 16665 23518 32070 33330 35277 58795 58943 70554 107969 117590 117886 176385 176829 215938 294715 323907 352770 353658 539845 589430 647814 648373 884145 1079690 1187659 1296746 1619535 1768290 1945119 2375318 3239070 3241865 3562977 3890238 5938295 5953243 6483730 7125954 9725595 11876590 11906486 17814885 17859729 19451190 29766215 35629770 35719458 59532430 63010067 65485673 89298645 126020134 130971346 178597290 189030201 196457019 315050335 327428365 378060402 392914038 630100670 654856730 693110737 945151005 982285095 1386221474 1890302010 1964570190 2079332211 3465553685 4158664422 6364016767 6931107370 10396661055 12728033534 19092050301 20793322110 31820083835 38184100602 63640167670 70004184437 95460251505 140008368874 190920503010 210012553311 350020922185 420025106622 700041844370 1050062766555 2100125533110