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231121320210 = 232511268387013
BaseRepresentation
bin1101011100111111100…
…1110111100100010010
3211002120020112120000200
43113033321313210102
512241314024221320
6254101540000030
722461254543664
oct3271771674422
9732506476020
10231121320210
118a021a61750
1238962090016
1318a43abb251
14b287418534
15602a746290
hex35cfe77912

231121320210 has 96 divisors (see below), whose sum is σ = 655795977408. Its totient is φ = 56007884160.

The previous prime is 231121320091. The next prime is 231121320223. The reversal of 231121320210 is 12023121132.

231121320210 is a `hidden beast` number, since 2 + 311 + 21 + 320 + 2 + 10 = 666.

It is a super-2 number, since 2×2311213202102 (a number of 24 digits) contains 22 as substring.

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

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 47 ways as a sum of consecutive naturals, for example, 2612664 + ... + 2699676.

It is an arithmetic number, because the mean of its divisors is an integer number (6831208098).

Almost surely, 2231121320210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231121320210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327897988704).

231121320210 is an abundant number, since it is smaller than the sum of its proper divisors (424674657198).

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

231121320210 is a wasteful number, since it uses less digits than its factorization.

231121320210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89720 (or 89717 counting only the distinct ones).

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

Adding to 231121320210 its reverse (12023121132), we get a palindrome (243144441342).

The spelling of 231121320210 in words is "two hundred thirty-one billion, one hundred twenty-one million, three hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 330 495 990 2683 5366 8049 13415 16098 24147 26830 29513 40245 48294 59026 80490 87013 88539 120735 147565 174026 177078 241470 261039 265617 295130 435065 442695 522078 531234 783117 870130 885390 957143 1305195 1328085 1566234 1914286 2610390 2656170 2871429 3915585 4785715 5742858 7831170 8614287 9571430 14357145 17228574 28714290 43071435 86142870 233455879 466911758 700367637 1167279395 1400735274 2101102911 2334558790 2568014669 3501838185 4202205822 5136029338 7003676370 7704044007 10505514555 12840073345 15408088014 21011029110 23112132021 25680146690 38520220035 46224264042 77040440070 115560660105 231121320210