Search a number
-
+
21122112120010 = 25111723587836623
BaseRepresentation
bin1001100110101110111111…
…11111010110010011001010
32202210020212022101100121021
410303113133333112103022
510232031041200320020
6112531210411103054
74310010425456416
oct463273777262312
982706768340537
1021122112120010
116803923704080
122451734741a8a
13ba2a64209295
1453045c32dd46
1526967bc111aa
hex1335dffd64ca

21122112120010 has 128 divisors (see below), whose sum is σ = 45903430508544. Its totient is φ = 6902867727360.

The previous prime is 21122112120007. The next prime is 21122112120013. The reversal of 21122112120010 is 1002121122112.

It is an interprime number because it is at equal distance from previous prime (21122112120007) and next prime (21122112120013).

It is a super-2 number, since 2×211221121200102 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21122112120013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24828559 + ... + 25665181.

It is an arithmetic number, because the mean of its divisors is an integer number (358620550848).

Almost surely, 221122112120010 is an apocalyptic number.

21122112120010 is an abundant number, since it is smaller than the sum of its proper divisors (24781318388534).

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

21122112120010 is a wasteful number, since it uses less digits than its factorization.

21122112120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837268.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 21122112120010 its reverse (1002121122112), we get a palindrome (22124233242122).

The spelling of 21122112120010 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, ten".

Divisors: 1 2 5 10 11 17 22 23 34 46 55 85 110 115 170 187 230 253 374 391 506 587 782 935 1174 1265 1870 1955 2530 2935 3910 4301 5870 6457 8602 9979 12914 13501 19958 21505 27002 32285 43010 49895 64570 67505 99790 109769 135010 148511 219538 229517 297022 459034 548845 742555 836623 1097690 1147585 1485110 1673246 2295170 2524687 4183115 5049374 8366230 9202853 12623435 14222591 18405706 19242329 25246870 28445182 38484658 46014265 71112955 92028530 96211645 142225910 156448501 192423290 211665619 312897002 327119593 423331238 491097701 654239186 782242505 982195402 1058328095 1564485010 1635597965 2116656190 2455488505 3271195930 3598315523 4910977010 5402074711 7196631046 8348660917 10804149422 11295247123 16697321834 17991577615 22590494246 27010373555 35983155230 41743304585 54020747110 56476235615 83486609170 91835270087 112952471230 124247718353 183670540174 192019201091 248495436706 384038402182 459176350435 621238591765 918352700870 960096005455 1242477183530 1920192010910 2112211212001 4224422424002 10561056060005 21122112120010