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11000120220 = 22335157129749
BaseRepresentation
bin10100011111010100…
…01000001110011100
31001101121200000011000
422033222020032130
5140012012321340
65015310430300
7536410323225
oct121752101634
931347600130
1011000120220
114735310151
12216bb02390
131063c6a29b
14764d0224c
15445ab4d30
hex28fa8839c

11000120220 has 96 divisors (see below), whose sum is σ = 34440840000. Its totient is φ = 2914659072.

The previous prime is 11000120213. The next prime is 11000120269. The reversal of 11000120220 is 2202100011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19906 + ... + 149654.

It is an arithmetic number, because the mean of its divisors is an integer number (358758750).

Almost surely, 211000120220 is an apocalyptic number.

11000120220 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 11000120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17220420000).

11000120220 is an abundant number, since it is smaller than the sum of its proper divisors (23440719780).

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

11000120220 is a wasteful number, since it uses less digits than its factorization.

11000120220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129924 (or 129916 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 11000120220 its reverse (2202100011), we get a palindrome (13202220231).

The spelling of 11000120220 in words is "eleven billion, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 157 180 270 314 471 540 628 785 942 1413 1570 1884 2355 2826 3140 4239 4710 5652 7065 8478 9420 14130 16956 21195 28260 42390 84780 129749 259498 389247 518996 648745 778494 1167741 1297490 1556988 1946235 2335482 2594980 3503223 3892470 4670964 5838705 7006446 7784940 11677410 14012892 17516115 20370593 23354820 35032230 40741186 61111779 70064460 81482372 101852965 122223558 183335337 203705930 244447116 305558895 366670674 407411860 550006011 611117790 733341348 916676685 1100012022 1222235580 1833353370 2200024044 2750030055 3666706740 5500060110 11000120220