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11122000100 = 22521747139199
BaseRepresentation
bin10100101101110110…
…00100000011100100
31001201010000010220122
422112323010003210
5140234213000400
65035343021112
7542420304161
oct122673040344
931633003818
1011122000100
114798096322
1221a489a798
1310832a1a63
1477718b068
1545163c685
hex296ec40e4

11122000100 has 72 divisors (see below), whose sum is σ = 26098329600. Its totient is φ = 4097989120.

The previous prime is 11122000081. The next prime is 11122000103. The reversal of 11122000100 is 100022111.

It is not an unprimeable number, because it can be changed into a prime (11122000103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10301 + ... + 149499.

It is an arithmetic number, because the mean of its divisors is an integer number (362476800).

Almost surely, 211122000100 is an apocalyptic number.

11122000100 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 11122000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13049164800).

11122000100 is an abundant number, since it is smaller than the sum of its proper divisors (14976329500).

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

11122000100 is a wasteful number, since it uses less digits than its factorization.

11122000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139277 (or 139270 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 11122000100 its reverse (100022111), we get a palindrome (11222022211).

The spelling of 11122000100 in words is "eleven billion, one hundred twenty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 17 20 25 34 47 50 68 85 94 100 170 188 235 340 425 470 799 850 940 1175 1598 1700 2350 3196 3995 4700 7990 15980 19975 39950 79900 139199 278398 556796 695995 1391990 2366383 2783980 3479975 4732766 6542353 6959950 9465532 11831915 13084706 13919900 23663830 26169412 32711765 47327660 59159575 65423530 111220001 118319150 130847060 163558825 222440002 236638300 327117650 444880004 556100005 654235300 1112200010 2224400020 2780500025 5561000050 11122000100