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11222220100 = 22527213315683
BaseRepresentation
bin10100111001110010…
…10111110101000100
31001222002120211220111
422130321113311010
5140440342020400
65053323042404
7545045203600
oct123471276504
931862524814
1011222220100
114839718073
122212370404
13109ac91730
147865d8500
1545a3373ba
hex29ce57d44

11222220100 has 216 divisors, whose sum is σ = 31496817408. Its totient is φ = 3436473600.

The previous prime is 11222220077. The next prime is 11222220143. The reversal of 11222220100 is 102222211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1971859 + ... + 1977541.

Almost surely, 211222220100 is an apocalyptic number.

11222220100 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 11222220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15748408704).

11222220100 is an abundant number, since it is smaller than the sum of its proper divisors (20274597308).

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

11222220100 is a wasteful number, since it uses less digits than its factorization.

11222220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5755 (or 5741 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 11222220100 its reverse (102222211), we get a palindrome (11324442311).

It can be divided in two parts, 1122 and 2220100, that added together give a palindrome (2221222).

The spelling of 11222220100 in words is "eleven billion, two hundred twenty-two million, two hundred twenty thousand, one hundred".