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231121120212 = 2232137293159937
BaseRepresentation
bin1101011100111111100…
…1000110101111010100
3211002120020011101200100
43113033321012233110
512241314001321322
6254101531414100
722461253051623
oct3271771065724
9732506141610
10231121120212
118a021935464
1238961bb4330
1318a43a4b1c8
14b2873a56ba
15602a706dac
hex35cfe46bd4

231121120212 has 72 divisors (see below), whose sum is σ = 590499412776. Its totient is φ = 76216541184.

The previous prime is 231121120201. The next prime is 231121120247. The reversal of 231121120212 is 212021121132.

231121120212 is a `hidden beast` number, since 2 + 311 + 21 + 120 + 212 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140305681476 + 90815438736 = 374574^2 + 301356^2 .

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

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1365108 + ... + 1525044.

It is an arithmetic number, because the mean of its divisors is an integer number (8201380733).

Almost surely, 2231121120212 is an apocalyptic number.

It is an amenable number.

231121120212 is an abundant number, since it is smaller than the sum of its proper divisors (359378292564).

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

231121120212 is a wasteful number, since it uses less digits than its factorization.

231121120212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160377 (or 160372 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 231121120212 its reverse (212021121132), we get a palindrome (443142241344).

The spelling of 231121120212 in words is "two hundred thirty-one billion, one hundred twenty-one million, one hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 293 411 548 586 822 879 1172 1233 1644 1758 2466 2637 3516 4932 5274 10548 40141 80282 120423 159937 160564 240846 319874 361269 479811 481692 639748 722538 959622 1439433 1445076 1919244 2878866 5757732 21911369 43822738 46861541 65734107 87645476 93723082 131468214 140584623 187446164 197202321 262936428 281169246 394404642 421753869 562338492 788809284 843507738 1687015476 6420031117 12840062234 19260093351 25680124468 38520186702 57780280053 77040373404 115560560106 231121120212