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22101123400 = 23521091013813
BaseRepresentation
bin10100100101010101…
…000110000101001000
32010001021011101200221
4110211111012011020
5330230341422100
614053023435424
71411454310046
oct244525060510
963037141627
1022101123400
119411565144
124349755b74
132112a99c15
1410d9385396
1589545601a
hex525546148

22101123400 has 48 divisors (see below), whose sum is σ = 51856586100. Its totient is φ = 8759335680.

The previous prime is 22101123391. The next prime is 22101123403. The reversal of 22101123400 is 432110122.

It can be written as a sum of positive squares in 6 ways, for example, as 13972658436 + 8128464964 = 118206^2 + 90158^2 .

It is not an unprimeable number, because it can be changed into a prime (22101123403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485107 + ... + 528706.

Almost surely, 222101123400 is an apocalyptic number.

22101123400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101123400 is an abundant number, since it is smaller than the sum of its proper divisors (29755462700).

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

22101123400 is a wasteful number, since it uses less digits than its factorization.

22101123400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013938 (or 1013929 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 22101123400 its reverse (432110122), we get a palindrome (22533233522).

The spelling of 22101123400 in words is "twenty-two billion, one hundred one million, one hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 109 200 218 436 545 872 1090 2180 2725 4360 5450 10900 21800 1013813 2027626 4055252 5069065 8110504 10138130 20276260 25345325 40552520 50690650 101381300 110505617 202762600 221011234 442022468 552528085 884044936 1105056170 2210112340 2762640425 4420224680 5525280850 11050561700 22101123400