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11222002100 = 2252112220021
BaseRepresentation
bin10100111001110001…
…00010100110110100
31001222002011202212102
422130320202212310
5140440313031400
65053314241232
7545043305201
oct123470424664
931862152772
1011222002100
114839589301
122212286218
13109ac1643a
1478657cca8
1545a2e29d5
hex29ce229b4

11222002100 has 18 divisors (see below), whose sum is σ = 24351744774. Its totient is φ = 4488800800.

The previous prime is 11222002087. The next prime is 11222002133. The reversal of 11222002100 is 120022211.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 38093584 + 11183908516 = 6172^2 + 105754^2 .

It is a super-2 number, since 2×112220021002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 56109911 + ... + 56110110.

Almost surely, 211222002100 is an apocalyptic number.

11222002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11222002100 is an abundant number, since it is smaller than the sum of its proper divisors (13129742674).

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

11222002100 is a wasteful number, since it uses less digits than its factorization.

11222002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112220035 (or 112220028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 11222002100 its reverse (120022211), we get a palindrome (11342024311).

The spelling of 11222002100 in words is "eleven billion, two hundred twenty-two million, two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 112220021 224440042 448880084 561100105 1122200210 2244400420 2805500525 5611001050 11222002100