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11022120122100 = 2235241896107327
BaseRepresentation
bin1010000001100100100110…
…0011011111011011110100
31110000201000111120022022220
42200121021203133123310
52421041300222401400
635235254142322340
72215215261132243
oct240311143373364
943021014508286
1011022120122100
11356a50051005a
1212a01b18893b0
1361c4c61136b9
142a168b26495a
15141a9d6147a0
hexa06498df6f4

11022120122100 has 72 divisors (see below), whose sum is σ = 32668488749568. Its totient is φ = 2867543443200.

The previous prime is 11022120122071. The next prime is 11022120122113. The reversal of 11022120122100 is 122102122011.

11022120122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11022120122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448041364 + ... + 448065963.

Almost surely, 211022120122100 is an apocalyptic number.

11022120122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022120122100 is an abundant number, since it is smaller than the sum of its proper divisors (21646368627468).

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

11022120122100 is a wasteful number, since it uses less digits than its factorization.

11022120122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896107385 (or 896107378 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 11022120122100 its reverse (122102122011), we get a palindrome (11144222244111).

The spelling of 11022120122100 in words is "eleven trillion, twenty-two billion, one hundred twenty million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 150 164 205 246 300 410 492 615 820 1025 1230 2050 2460 3075 4100 6150 12300 896107327 1792214654 2688321981 3584429308 4480536635 5376643962 8961073270 10753287924 13441609905 17922146540 22402683175 26883219810 36740400407 44805366350 53766439620 67208049525 73480800814 89610732700 110221201221 134416099050 146961601628 183702002035 220442402442 268832198100 367404004070 440884804884 551106006105 734808008140 918510010175 1102212012210 1837020020350 2204424024420 2755530030525 3674040040700 5511060061050 11022120122100