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211221122013324 = 22341965352544293
BaseRepresentation
bin110000000001101010111111…
…111100100101100010001100
31000200212112122011100212120000
4300001222333330211202030
5210141121324213411244
62025121351025124300
762330136210561003
oct6001527774454214
91020775564325500
10211221122013324
1161335413942715
121b83409a489690
1390b20b2997327
143a2322a591c3a
15196452d1bc169
hexc01abff2588c

211221122013324 has 120 divisors (see below), whose sum is σ = 582125622595440. Its totient is φ = 66599259578496.

The previous prime is 211221122013283. The next prime is 211221122013359. The reversal of 211221122013324 is 423310221122112.

211221122013324 is a `hidden beast` number, since 2 + 1 + 1 + 22 + 112 + 201 + 3 + 324 = 666.

It is a super-2 number, since 2×2112211220133242 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22252279 + ... + 30292014.

It is an arithmetic number, because the mean of its divisors is an integer number (4851046854962).

Almost surely, 2211221122013324 is an apocalyptic number.

It is an amenable number.

211221122013324 is an abundant number, since it is smaller than the sum of its proper divisors (370904500582116).

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

211221122013324 is a wasteful number, since it uses less digits than its factorization.

211221122013324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52544981 (or 52544970 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 211221122013324 its reverse (423310221122112), we get a palindrome (634531343135436).

The spelling of 211221122013324 in words is "two hundred eleven trillion, two hundred twenty-one billion, one hundred twenty-two million, thirteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 513 653 684 1026 1306 1539 1959 2052 2612 3078 3918 5877 6156 7836 11754 12407 17631 23508 24814 35262 37221 49628 52893 70524 74442 105786 111663 148884 211572 223326 334989 446652 669978 1004967 1339956 2009934 4019868 52544293 105088586 157632879 210177172 315265758 472898637 630531516 945797274 998341567 1418695911 1891594548 1996683134 2837391822 2995024701 3993366268 4256087733 5674783644 5990049402 8512175466 8985074103 11980098804 17024350932 17970148206 26955222309 34311423329 35940296412 53910444618 68622846658 80865666927 102934269987 107820889236 137245693316 161731333854 205868539974 308802809961 323462667708 411737079948 617605619922 651917043251 926408429883 1235211239844 1303834086502 1852816859766 1955751129753 2607668173004 2779225289649 3705633719532 3911502259506 5558450579298 5867253389259 7823004519012 11116901158596 11734506778518 17601760167777 23469013557036 35203520335554 52805280503331 70407040671108 105610561006662 211221122013324