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20011110120 = 23325291916773
BaseRepresentation
bin10010101000110000…
…010100111011101000
31220122121102201110200
4102220300110323220
5311440321010440
613105403312200
71305615425631
oct225060247350
956577381420
1020011110120
118539828241
123a6581b660
131b6ba97881
14d7b978888
157c1c12c30
hex4a8c14ee8

20011110120 has 96 divisors (see below), whose sum is σ = 67278767400. Its totient is φ = 5152283136.

The previous prime is 20011110113. The next prime is 20011110121. The reversal of 20011110120 is 2101111002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 14037984324 + 5973125796 = 118482^2 + 77286^2 .

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

It is not an unprimeable number, because it can be changed into a prime (20011110121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 947947 + ... + 968826.

Almost surely, 220011110120 is an apocalyptic number.

20011110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20011110120 is an abundant number, since it is smaller than the sum of its proper divisors (47267657280).

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

20011110120 is a wasteful number, since it uses less digits than its factorization.

20011110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916819 (or 1916812 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20011110120 its reverse (2101111002), we get a palindrome (22112221122).

The spelling of 20011110120 in words is "twenty billion, eleven million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 1916773 3833546 5750319 7667092 9583865 11500638 15334184 17250957 19167730 23001276 28751595 34501914 38335460 46002552 55586417 57503190 69003828 76670920 86254785 111172834 115006380 138007656 166759251 172509570 222345668 230012760 277932085 333518502 345019140 444691336 500277753 555864170 667037004 690038280 833796255 1000555506 1111728340 1334074008 1667592510 2001111012 2223456680 2501388765 3335185020 4002222024 5002777530 6670370040 10005555060 20011110120