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2100210010220 = 2257273190115443
BaseRepresentation
bin11110100011111110010…
…001011000100001101100
321102210000020122211002002
4132203332101120201230
5233402212230311340
64244453445151432
7304510106352200
oct36437621304154
97383006584062
102100210010220
1173a76a886753
1229b0500bb578
131230837244ca
147391777ab00
153997089c715
hex1e8fe45886c

2100210010220 has 144 divisors (see below), whose sum is σ = 5203866796128. Its totient is φ = 709788441600.

The previous prime is 2100210010181. The next prime is 2100210010231. The reversal of 2100210010220 is 220100120012.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135989819 + ... + 136005261.

It is an arithmetic number, because the mean of its divisors is an integer number (36137963862).

Almost surely, 22100210010220 is an apocalyptic number.

2100210010220 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 2100210010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2601933398064).

2100210010220 is an abundant number, since it is smaller than the sum of its proper divisors (3103656785908).

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

2100210010220 is a wasteful number, since it uses less digits than its factorization.

2100210010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17440 (or 17431 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2100210010220 its reverse (220100120012), we get a palindrome (2320310130232).

The spelling of 2100210010220 in words is "two trillion, one hundred billion, two hundred ten million, ten thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 73 98 140 146 196 245 292 365 490 511 730 980 1022 1460 1901 2044 2555 3577 3802 5110 7154 7604 9505 10220 13307 14308 15443 17885 19010 26614 30886 35770 38020 53228 61772 66535 71540 77215 93149 108101 133070 138773 154430 186298 216202 266140 277546 308860 372596 432404 465745 540505 555092 693865 756707 931490 971411 1081010 1127339 1387730 1513414 1862980 1942822 2162020 2254678 2775460 3026828 3783535 3885644 4509356 4857055 5636695 6799877 7567070 7891373 9714110 11273390 13599754 15134140 15782746 19428220 22546780 27199508 29357143 31565492 33999385 39456865 55239611 58714286 67998770 78913730 110479222 117428572 135997540 146785715 157827460 205500001 220958444 276198055 293571430 411000002 552396110 587142860 822000004 1027500005 1104792220 1438500007 2055000010 2143071439 2877000014 4110000020 4286142878 5754000028 7192500035 8572285756 10715357195 14385000070 15001500073 21430714390 28770000140 30003000146 42861428780 60006000292 75007500365 105010500511 150015000730 210021001022 300030001460 420042002044 525052502555 1050105005110 2100210010220