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2011221102 = 2311273137277
BaseRepresentation
bin111011111100000…
…1100110001101110
312012011110121200110
41313320030301232
513104333033402
6531323240450
7100561045242
oct16770146156
95164417613
102011221102
11942311200
12481679126
132608a5977
1415117a422
15bb87c56c
hex77e0cc6e

2011221102 has 96 divisors (see below), whose sum is σ = 4530941856. Its totient is φ = 594570240.

The previous prime is 2011221073. The next prime is 2011221119.

2011221102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20112211022 = 8090020642260188808, which contains 22 as substring.

It is a congruent 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, 7260588 + ... + 7260864.

It is an arithmetic number, because the mean of its divisors is an integer number (47197311).

Almost surely, 22011221102 is an apocalyptic number.

2011221102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2011221102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265470928).

2011221102 is an abundant number, since it is smaller than the sum of its proper divisors (2519720754).

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

2011221102 is a wasteful number, since it uses less digits than its factorization.

2011221102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514 (or 503 counting only the distinct ones).

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

The square root of 2011221102 is about 44846.6398072364. The cubic root of 2011221102 is about 1262.2729406646.

It can be divided in two parts, 20112 and 21102, that added together give a palindrome (41214).

The spelling of 2011221102 in words is "two billion, eleven million, two hundred twenty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 66 73 121 137 146 219 242 274 277 363 411 438 554 726 803 822 831 1507 1606 1662 2409 3014 3047 4521 4818 6094 8833 9042 9141 10001 16577 17666 18282 20002 20221 26499 30003 33154 33517 37949 40442 49731 52998 60006 60663 67034 75898 99462 100551 110011 113847 121326 201102 220022 222431 227694 330033 417439 444862 660066 667293 834878 1210121 1252317 1334586 2420242 2446741 2504634 2770277 3630363 4591829 4893482 5540554 7260726 7340223 8310831 9183658 13775487 14680446 16621662 27550974 30473047 60946094 91419141 182838282 335203517 670407034 1005610551 2011221102