Search a number
-
+
100022110221000 = 23353113030973037
BaseRepresentation
bin10110101111100000110110…
…010110010111001011001000
3111010011000112211121010112210
4112233200312112113023020
5101102230240204033000
6552421304553305120
730032234064003042
oct2657406626271310
9433130484533483
10100022110221000
11299631587154a0
12b274b564051a0
1343a7076a79a56
141a9b14b484a92
15b86c10921350
hex5af8365972c8

100022110221000 has 128 divisors (see below), whose sum is σ = 340438891628160. Its totient is φ = 24247784288000.

The previous prime is 100022110220933. The next prime is 100022110221017. The reversal of 100022110221000 is 122011220001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1515453519 + ... + 1515519518.

It is an arithmetic number, because the mean of its divisors is an integer number (2659678840845).

Almost surely, 2100022110221000 is an apocalyptic number.

100022110221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022110221000 is an abundant number, since it is smaller than the sum of its proper divisors (240416781407160).

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

100022110221000 is a wasteful number, since it uses less digits than its factorization.

100022110221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3030973072 (or 3030973058 counting only the distinct ones).

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

Adding to 100022110221000 its reverse (122011220001), we get a palindrome (100144121441001).

Subtracting from 100022110221000 its reverse (122011220001), we obtain a palindrome (99900099000999).

The spelling of 100022110221000 in words is "one hundred trillion, twenty-two billion, one hundred ten million, two hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 660 750 825 1000 1100 1320 1375 1500 1650 2200 2750 3000 3300 4125 5500 6600 8250 11000 16500 33000 3030973037 6061946074 9092919111 12123892148 15154865185 18185838222 24247784296 30309730370 33340703407 36371676444 45464595555 60619460740 66681406814 72743352888 75774325925 90929191110 100022110221 121238921480 133362813628 151548651850 166703517035 181858382220 200044220442 227322977775 266725627256 303097303700 333407034070 363716764440 378871629625 400088440884 454645955550 500110551105 606194607400 666814068140 757743259250 800176881768 833517585175 909291911100 1000221102210 1136614888875 1333628136280 1515486518500 1667035170350 1818583822200 2000442204420 2273229777750 2500552755525 3030973037000 3334070340700 4000884408840 4167587925875 4546459555500 5001105511050 6668140681400 8335175851750 9092919111000 10002211022100 12502763777625 16670351703500 20004422044200 25005527555250 33340703407000 50011055110500 100022110221000