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20012110200 = 23325213184869
BaseRepresentation
bin10010101000110100…
…001001000101111000
31220122200022112022200
4102220310021011320
5311441100011300
613105440550200
71305630062415
oct225064110570
956580275280
1020012110200
11853a350655
123a66022360
131b6c057b34
14d7bb5910c
157c1d5e200
hex4a8d09178

20012110200 has 144 divisors (see below), whose sum is σ = 67721167800. Its totient is φ = 5295763200.

The previous prime is 20012110199. The next prime is 20012110253. The reversal of 20012110200 is 201121002.

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 35 ways as a sum of consecutive naturals, for example, 193366 + ... + 278234.

Almost surely, 220012110200 is an apocalyptic number.

20012110200 is a gapful number since it is divisible by the number (20) 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 20012110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33860583900).

20012110200 is an abundant number, since it is smaller than the sum of its proper divisors (47709057600).

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

20012110200 is a wasteful number, since it uses less digits than its factorization.

20012110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85022 (or 85010 counting only the distinct ones).

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

Adding to 20012110200 its reverse (201121002), we get a palindrome (20213231202).

It can be divided in two parts, 200 and 12110200, that added together give a square (12110400 = 34802).

The spelling of 20012110200 in words is "twenty billion, twelve million, one hundred ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 131 150 180 200 225 262 300 360 393 450 524 600 655 786 900 1048 1179 1310 1572 1800 1965 2358 2620 3144 3275 3930 4716 5240 5895 6550 7860 9432 9825 11790 13100 15720 19650 23580 26200 29475 39300 47160 58950 78600 84869 117900 169738 235800 254607 339476 424345 509214 678952 763821 848690 1018428 1273035 1527642 1697380 2036856 2121725 2546070 3055284 3394760 3819105 4243450 5092140 6110568 6365175 7638210 8486900 10184280 11117839 12730350 15276420 16973800 19095525 22235678 25460700 30552840 33353517 38191050 44471356 50921400 55589195 66707034 76382100 88942712 100060551 111178390 133414068 152764200 166767585 200121102 222356780 266828136 277945975 333535170 400242204 444713560 500302755 555891950 667070340 800484408 833837925 1000605510 1111783900 1334140680 1667675850 2001211020 2223567800 2501513775 3335351700 4002422040 5003027550 6670703400 10006055100 20012110200