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11220451100 = 22522322721491
BaseRepresentation
bin10100111001100101…
…00111111100011100
31001221222020222021222
422130302213330130
5140434413413400
65053221112512
7545024155265
oct123462477434
931858228258
1011220451100
114838719a91
122211858738
13109a7c24a1
1478629796c
1545a0d8185
hex29cca7f1c

11220451100 has 72 divisors (see below), whose sum is σ = 25520116608. Its totient is φ = 4273931200.

The previous prime is 11220451043. The next prime is 11220451117. The reversal of 11220451100 is 115402211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 511355 + ... + 532845.

It is an arithmetic number, because the mean of its divisors is an integer number (354446064).

Almost surely, 211220451100 is an apocalyptic number.

11220451100 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 11220451100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760058304).

11220451100 is an abundant number, since it is smaller than the sum of its proper divisors (14299665508).

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

11220451100 is a wasteful number, since it uses less digits than its factorization.

11220451100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21755 (or 21748 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

Adding to 11220451100 its reverse (115402211), we get a palindrome (11335853311).

The spelling of 11220451100 in words is "eleven billion, two hundred twenty million, four hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 227 230 454 460 575 908 1135 1150 2270 2300 4540 5221 5675 10442 11350 20884 21491 22700 26105 42982 52210 85964 104420 107455 130525 214910 261050 429820 494293 522100 537275 988586 1074550 1977172 2149100 2471465 4878457 4942930 9756914 9885860 12357325 19513828 24392285 24714650 48784570 49429300 97569140 112204511 121961425 224409022 243922850 448818044 487845700 561022555 1122045110 2244090220 2805112775 5610225550 11220451100