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1220110020 = 223357433041
BaseRepresentation
bin100100010111001…
…0110011011000100
310011000212000022000
41020232112123010
54444322010040
6321023105300
742143523033
oct11056263304
93130760260
101220110020
115767a1798
122a0742230
13165a159bc
14b808671a
15721ae130
hex48b966c4

1220110020 has 96 divisors (see below), whose sum is σ = 3802256640. Its totient is φ = 324817920.

The previous prime is 1220110013. The next prime is 1220110033. The reversal of 1220110020 is 200110221.

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

It is a junction number, because it is equal to n+sod(n) for n = 1220109984 and 1220110011.

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, 399700 + ... + 402740.

It is an arithmetic number, because the mean of its divisors is an integer number (39606840).

Almost surely, 21220110020 is an apocalyptic number.

1220110020 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 1220110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901128320).

1220110020 is an abundant number, since it is smaller than the sum of its proper divisors (2582146620).

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

1220110020 is a wasteful number, since it uses less digits than its factorization.

1220110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3802 (or 3794 counting only the distinct ones).

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

The square root of 1220110020 is about 34930.0732893591. The cubic root of 1220110020 is about 1068.5618493039.

Adding to 1220110020 its reverse (200110221), we get a palindrome (1420220241).

The spelling of 1220110020 in words is "one billion, two hundred twenty million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 743 1486 2229 2972 3041 3715 4458 6082 6687 7430 8916 9123 11145 12164 13374 14860 15205 18246 20061 22290 26748 27369 30410 33435 36492 40122 44580 45615 54738 60820 66870 80244 82107 91230 100305 109476 133740 136845 164214 182460 200610 273690 328428 401220 410535 547380 821070 1642140 2259463 4518926 6778389 9037852 11297315 13556778 20335167 22594630 27113556 33891945 40670334 45189260 61005501 67783890 81340668 101675835 122011002 135567780 203351670 244022004 305027505 406703340 610055010 1220110020