Search a number
-
+
2102242621000 = 235371113262027
BaseRepresentation
bin11110100101110111011…
…011001011011001001000
321102222020220101010212211
4132211313123023121020
5233420343102333000
64245431255114504
7304611350305144
oct36456733133110
97388226333784
102102242621000
11740613177275
1229b518972a34
13123318878c92
1473a6b6c4224
1539a3e0527ba
hex1e9776cb648

2102242621000 has 128 divisors (see below), whose sum is σ = 5032698428160. Its totient is φ = 821713536000.

The previous prime is 2102242620991. The next prime is 2102242621021. The reversal of 2102242621000 is 1262422012.

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, 7891987 + ... + 8154013.

It is an arithmetic number, because the mean of its divisors is an integer number (39317956470).

Almost surely, 22102242621000 is an apocalyptic number.

2102242621000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102242621000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2516349214080).

2102242621000 is an abundant number, since it is smaller than the sum of its proper divisors (2930455807160).

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

2102242621000 is a wasteful number, since it uses less digits than its factorization.

2102242621000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262232 (or 262218 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The spelling of 2102242621000 in words is "two trillion, one hundred two billion, two hundred forty-two million, six hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 113 125 142 200 226 250 284 355 452 500 565 568 710 904 1000 1130 1420 1775 2260 2825 2840 3550 4520 5650 7100 8023 8875 11300 14125 14200 16046 17750 22600 28250 32092 35500 40115 56500 64184 71000 80230 113000 160460 200575 262027 320920 401150 524054 802300 1002875 1048108 1310135 1604600 2005750 2096216 2620270 4011500 5240540 6550675 8023000 10481080 13101350 18603917 26202700 29609051 32753375 37207834 52405400 59218102 65506750 74415668 93019585 118436204 131013500 148045255 148831336 186039170 236872408 262027000 296090510 372078340 465097925 592181020 740226275 744156680 930195850 1184362040 1480452550 1860391700 2102242621 2325489625 2960905100 3701131375 3720783400 4204485242 4650979250 5921810200 7402262750 8408970484 9301958500 10511213105 14804525500 16817940968 18603917000 21022426210 29609051000 42044852420 52556065525 84089704840 105112131050 210224262100 262780327625 420448524200 525560655250 1051121310500 2102242621000