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11120022100 = 22521183912049
BaseRepresentation
bin10100101101100111…
…00001001001010100
31001200222021122121101
422112303201021110
5140233211201400
65035232355444
7542364425335
oct122663411124
931628248541
1011120022100
114796a65210
1221a40a5b84
131082a5b645
14776bd428c
1545139b56a
hex296ce1254

11120022100 has 72 divisors (see below), whose sum is σ = 26357688000. Its totient is φ = 4038489600.

The previous prime is 11120022097. The next prime is 11120022157. The reversal of 11120022100 is 122002111.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 916876 + ... + 928924.

It is an arithmetic number, because the mean of its divisors is an integer number (366079000).

Almost surely, 211120022100 is an apocalyptic number.

11120022100 is a gapful number since it is divisible by the number (10) 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 11120022100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13178844000).

11120022100 is an abundant number, since it is smaller than the sum of its proper divisors (15237665900).

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

11120022100 is a wasteful number, since it uses less digits than its factorization.

11120022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913 (or 12906 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 11120022100 its reverse (122002111), we get a palindrome (11242024211).

The spelling of 11120022100 in words is "eleven billion, one hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 839 1100 1678 3356 4195 8390 9229 12049 16780 18458 20975 24098 36916 41950 46145 48196 60245 83900 92290 120490 132539 184580 230725 240980 265078 301225 461450 530156 602450 662695 922900 1204900 1325390 2650780 3313475 6626950 10109111 13253900 20218222 40436444 50545555 101091110 111200221 202182220 222400442 252727775 444800884 505455550 556001105 1010911100 1112002210 2224004420 2780005525 5560011050 11120022100