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2210021121220 = 22511103187152127
BaseRepresentation
bin100000001010001111100…
…001100001110011000100
321211021110011122020110021
4200022033201201303010
5242202110401334340
64411134130304524
7315445245402643
oct40121741416304
97737404566407
102210021121220
117822a0342750
122b8397728144
13130533a57573
1478d7383135a
153c74b0d2e4a
hex2028f861cc4

2210021121220 has 96 divisors (see below), whose sum is σ = 5114942816256. Its totient is φ = 795401059200.

The previous prime is 2210021121167. The next prime is 2210021121227. The reversal of 2210021121220 is 221211200122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2210021121194 and 2210021121203.

It is not an unprimeable number, because it can be changed into a prime (2210021121227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42370797 + ... + 42422923.

It is an arithmetic number, because the mean of its divisors is an integer number (53280654336).

Almost surely, 22210021121220 is an apocalyptic number.

2210021121220 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 2210021121220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2557471408128).

2210021121220 is an abundant number, since it is smaller than the sum of its proper divisors (2904921695036).

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

2210021121220 is a wasteful number, since it uses less digits than its factorization.

2210021121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54121 (or 54119 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2210021121220 its reverse (221211200122), we get a palindrome (2431232321342).

The spelling of 2210021121220 in words is "two trillion, two hundred ten billion, twenty-one million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 103 110 206 220 412 515 1030 1133 1871 2060 2266 3742 4532 5665 7484 9355 11330 18710 20581 22660 37420 41162 52127 82324 102905 104254 192713 205810 208508 260635 385426 411620 521270 573397 770852 963565 1042540 1146794 1927130 2119843 2293588 2866985 3854260 4239686 5369081 5733970 8479372 10599215 10738162 11467940 21198430 21476324 26845405 42396860 53690810 59059891 97529617 107381620 118119782 195059234 236239564 295299455 390118468 487648085 590598910 975296170 1072825787 1181197820 1950592340 2145651574 4291303148 5364128935 10045550551 10728257870 20091101102 21456515740 40182202204 50227752755 100455505510 110501056061 200911011020 221002112122 442004224244 552505280305 1105010560610 2210021121220