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2211230110032 = 2432139685716111
BaseRepresentation
bin100000001011010111100…
…101011101000101010000
321211101120102120020022200
4200023113211131011100
5242212044402010112
64411454115203200
7315520225546446
oct40132745350520
97741512506280
102211230110032
11782860828959
122b86745a6500
13130697378268
147904a220b96
153c7bc2e6cdc
hex202d795d150

2211230110032 has 120 divisors (see below), whose sum is σ = 6234189736320. Its totient is φ = 731621859840.

The previous prime is 2211230110027. The next prime is 2211230110099. The reversal of 2211230110032 is 2300110321122.

2211230110032 is a `hidden beast` number, since 221 + 12 + 301 + 100 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2211230109987 and 2211230110014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137241657 + ... + 137257767.

It is an arithmetic number, because the mean of its divisors is an integer number (51951581136).

Almost surely, 22211230110032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211230110032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117094868160).

2211230110032 is an abundant number, since it is smaller than the sum of its proper divisors (4022959626288).

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

2211230110032 is a wasteful number, since it uses less digits than its factorization.

2211230110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23121 (or 23112 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2211230110032 its reverse (2300110321122), we get a palindrome (4511340431154).

The spelling of 2211230110032 in words is "two trillion, two hundred eleven billion, two hundred thirty million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 6672 6857 10008 13714 16111 20016 20571 27428 32222 41142 48333 54856 61713 64444 82284 96666 109712 123426 128888 144999 164568 193332 246852 257776 289998 329136 386664 493704 579996 773328 953123 987408 1159992 1906246 2239429 2319984 2859369 3812492 4478858 5718738 6718287 7624984 8578107 8957716 11437476 13436574 15249968 17156214 17915432 20154861 22874952 26873148 34312428 35830864 40309722 45749904 53746296 68624856 80619444 107492592 110473127 137249712 161238888 220946254 322477776 331419381 441892508 662838762 883785016 994258143 1325677524 1767570032 1988516286 2651355048 3977032572 5302710096 7954065144 15355764653 15908130288 30711529306 46067293959 61423058612 92134587918 122846117224 138201881877 184269175836 245692234448 276403763754 368538351672 552807527508 737076703344 1105615055016 2211230110032