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2121110220 = 22351910717389
BaseRepresentation
bin111111001101101…
…1001001011001100
312110211020120012210
41332123121023030
513321001011340
6550250430420
7103364065545
oct17633311314
95424216183
102121110220
11999347559
124b2432410
1327a59c708
141619c34cc
15c6337180
hex7e6d92cc

2121110220 has 96 divisors (see below), whose sum is σ = 6310483200. Its totient is φ = 530820864.

The previous prime is 2121110219. The next prime is 2121110237. The reversal of 2121110220 is 220111212.

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 = 2121110196 and 2121110205.

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, 113286 + ... + 130674.

It is an arithmetic number, because the mean of its divisors is an integer number (65734200).

Almost surely, 22121110220 is an apocalyptic number.

2121110220 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 2121110220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155241600).

2121110220 is an abundant number, since it is smaller than the sum of its proper divisors (4189372980).

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

2121110220 is a wasteful number, since it uses less digits than its factorization.

2121110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17527 (or 17525 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2121110220 is about 46055.5123736562. The cubic root of 2121110220 is about 1284.8558675970.

Adding to 2121110220 its reverse (220111212), we get a palindrome (2341221432).

The spelling of 2121110220 in words is "two billion, one hundred twenty-one million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 107 114 190 214 228 285 321 380 428 535 570 642 1070 1140 1284 1605 2033 2140 3210 4066 6099 6420 8132 10165 12198 17389 20330 24396 30495 34778 40660 52167 60990 69556 86945 104334 121980 173890 208668 260835 330391 347780 521670 660782 991173 1043340 1321564 1651955 1860623 1982346 3303910 3721246 3964692 4955865 5581869 6607820 7442492 9303115 9911730 11163738 18606230 19823460 22327476 27909345 35351837 37212460 55818690 70703674 106055511 111637380 141407348 176759185 212111022 353518370 424222044 530277555 707036740 1060555110 2121110220