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2221020111100 = 2252710743368483
BaseRepresentation
bin100000010100011111000…
…111010110000011111100
321212022211201011211001211
4200110133013112003330
5242342122122023400
64420153401014204
7316314643310560
oct40243707260374
97768751154054
102221020111100
11786a24a5062a
122ba547184364
131315976ba1bb
14796d851b6a0
153cb91a22dba
hex2051f1d60fc

2221020111100 has 144 divisors (see below), whose sum is σ = 5572528835328. Its totient is φ = 752622658560.

The previous prime is 2221020111091. The next prime is 2221020111131. The reversal of 2221020111100 is 11110201222.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32397459 + ... + 32465941.

It is an arithmetic number, because the mean of its divisors is an integer number (38698116912).

Almost surely, 22221020111100 is an apocalyptic number.

2221020111100 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 2221020111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2786264417664).

2221020111100 is an abundant number, since it is smaller than the sum of its proper divisors (3351508724228).

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

2221020111100 is a wasteful number, since it uses less digits than its factorization.

2221020111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69044 (or 69037 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2221020111100 its reverse (11110201222), we get a palindrome (2232130312322).

The spelling of 2221020111100 in words is "two trillion, two hundred twenty-one billion, twenty million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 107 140 175 214 350 428 433 535 700 749 866 1070 1498 1732 2140 2165 2675 2996 3031 3745 4330 5350 6062 7490 8660 10700 10825 12124 14980 15155 18725 21650 30310 37450 43300 46331 60620 68483 74900 75775 92662 136966 151550 185324 231655 273932 303100 324317 342415 463310 479381 648634 684830 926620 958762 1158275 1297268 1369660 1621585 1712075 1917524 2316550 2396905 3243170 3424150 4633100 4793810 6486340 6848300 7327681 8107925 9587620 11984525 14655362 16215850 23969050 29310724 29653139 32431700 36638405 47938100 51293767 59306278 73276810 102587534 118612556 146553620 148265695 183192025 205175068 207571973 256468835 296531390 366384050 415143946 512937670 593062780 732768100 741328475 830287892 1025875340 1037859865 1282344175 1482656950 2075719730 2564688350 2965313900 3172885873 4151439460 5129376700 5189299325 6345771746 10378598650 12691543492 15864429365 20757197300 22210201111 31728858730 44420402222 63457717460 79322146825 88840804444 111051005555 158644293650 222102011110 317288587300 444204022220 555255027775 1110510055550 2221020111100