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2121020220 = 2235115036389
BaseRepresentation
bin111111001101100…
…0011001100111100
312110211001222202110
41332123003030330
513320440121340
6550244454020
7103363242264
oct17633031474
95424058673
102121020220
11999295980
124b23aa310
1327a56a767
1416199c7a4
15c631a680
hex7e6c333c

2121020220 has 96 divisors (see below), whose sum is σ = 6492648960. Its totient is φ = 513084160.

The previous prime is 2121020219. The next prime is 2121020221. The reversal of 2121020220 is 220201212.

It is an interprime number because it is at equal distance from previous prime (2121020219) and next prime (2121020221).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2121020196 and 2121020205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121020221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328786 + ... + 335174.

It is an arithmetic number, because the mean of its divisors is an integer number (67631760).

Almost surely, 22121020220 is an apocalyptic number.

2121020220 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 2121020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3246324480).

2121020220 is an abundant number, since it is smaller than the sum of its proper divisors (4371628740).

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

2121020220 is a wasteful number, since it uses less digits than its factorization.

2121020220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6915 (or 6913 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 2121020220 is about 46054.5352815551. The cubic root of 2121020220 is about 1284.8376949340.

Adding to 2121020220 its reverse (220201212), we get a palindrome (2341221432).

The spelling of 2121020220 in words is "two billion, one hundred twenty-one million, twenty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 503 660 1006 1509 2012 2515 3018 5030 5533 6036 6389 7545 10060 11066 12778 15090 16599 19167 22132 25556 27665 30180 31945 33198 38334 55330 63890 66396 70279 76668 82995 95835 110660 127780 140558 165990 191670 210837 281116 331980 351395 383340 421674 702790 843348 1054185 1405580 2108370 3213667 4216740 6427334 9641001 12854668 16068335 19282002 32136670 35350337 38564004 48205005 64273340 70700674 96410010 106051011 141401348 176751685 192820020 212102022 353503370 424204044 530255055 707006740 1060510110 2121020220