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2101330220 = 22511175310601
BaseRepresentation
bin111110100111111…
…1100000100101100
312102110000122011012
41331033330010230
513300420031340
6544302444352
7103034004113
oct17517740454
95373018135
102101330220
11989167550
124a78936b8
13276465482
1415d114c7a
15c472b565
hex7d3fc12c

2101330220 has 96 divisors (see below), whose sum is σ = 5193792576. Its totient is φ = 705536000.

The previous prime is 2101330219. The next prime is 2101330223. The reversal of 2101330220 is 220331012.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2101330195 and 2101330204.

It is not an unprimeable number, because it can be changed into a prime (2101330223) 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, 192920 + ... + 203520.

It is an arithmetic number, because the mean of its divisors is an integer number (54102006).

Almost surely, 22101330220 is an apocalyptic number.

2101330220 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 2101330220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2596896288).

2101330220 is an abundant number, since it is smaller than the sum of its proper divisors (3092462356).

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

2101330220 is a wasteful number, since it uses less digits than its factorization.

2101330220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10691 (or 10689 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2101330220 is about 45840.2685419708. The cubic root of 2101330220 is about 1280.8494971250.

Adding to 2101330220 its reverse (220331012), we get a palindrome (2321661232).

The spelling of 2101330220 in words is "two billion, one hundred one million, three hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 53 55 68 85 106 110 170 187 212 220 265 340 374 530 583 748 901 935 1060 1166 1802 1870 2332 2915 3604 3740 4505 5830 9010 9911 10601 11660 18020 19822 21202 39644 42404 49555 53005 99110 106010 116611 180217 198220 212020 233222 360434 466444 561853 583055 720868 901085 1123706 1166110 1802170 1982387 2247412 2332220 2809265 3604340 3964774 5618530 6180383 7929548 9551501 9911935 11237060 12360766 19103002 19823870 24721532 30901915 38206004 39647740 47757505 61803830 95515010 105066511 123607660 191030020 210133022 420266044 525332555 1050665110 2101330220