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22120022120 = 2357791019901
BaseRepresentation
bin10100100110011101…
…001100000001101000
32010002120201112212112
4110212131030001220
5330300211201440
614054540501452
71412104041260
oct244635140150
963076645775
1022120022120
1194211a3019
124353b4a888
132116985cb1
1410dbaa47a0
15896e3a965
hex52674c068

22120022120 has 128 divisors (see below), whose sum is σ = 58176230400. Its totient is φ = 7413120000.

The previous prime is 22120022101. The next prime is 22120022123. The reversal of 22120022120 is 2122002122.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 22120022095 and 22120022104.

It is not an unprimeable number, because it can be changed into a prime (22120022123) 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, 2229170 + ... + 2239070.

It is an arithmetic number, because the mean of its divisors is an integer number (454501800).

Almost surely, 222120022120 is an apocalyptic number.

22120022120 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 22120022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29088115200).

22120022120 is an abundant number, since it is smaller than the sum of its proper divisors (36056208280).

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

22120022120 is a wasteful number, since it uses less digits than its factorization.

22120022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10099 (or 10095 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 22120022120 its reverse (2122002122), we get a palindrome (24242024242).

It can be divided in two parts, 2212002 and 2120, that added together give a palindrome (2214122).

The spelling of 22120022120 in words is "twenty-two billion, one hundred twenty million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 79 101 140 158 202 280 316 395 404 505 553 632 707 790 808 1010 1106 1414 1580 2020 2212 2765 2828 3160 3535 4040 4424 5530 5656 7070 7979 9901 11060 14140 15958 19802 22120 28280 31916 39604 39895 49505 55853 63832 69307 79208 79790 99010 111706 138614 159580 198020 223412 277228 279265 319160 346535 396040 446824 554456 558530 693070 782179 1000001 1117060 1386140 1564358 2000002 2234120 2772280 3128716 3910895 4000004 5000005 5475253 6257432 7000007 7821790 8000008 10000010 10950506 14000014 15643580 20000020 21901012 27376265 28000028 31287160 35000035 40000040 43802024 54752530 56000056 70000070 79000079 109505060 140000140 158000158 219010120 280000280 316000316 395000395 553000553 632000632 790000790 1106001106 1580001580 2212002212 2765002765 3160003160 4424004424 5530005530 11060011060 22120022120