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231122012212 = 2271323910092633
BaseRepresentation
bin1101011100111111110…
…0100000100000110100
3211002120021211201021101
43113033330200200310
512241314213342322
6254102002455444
722461263455330
oct3271774404064
9732507751241
10231122012212
118a022394653
1238962364584
1318a43ca1210
14b2875587c0
15602a831327
hex35cff20834

231122012212 has 96 divisors (see below), whose sum is σ = 500569574400. Its totient is φ = 90925535232.

The previous prime is 231122012179. The next prime is 231122012221. The reversal of 231122012212 is 212210221132.

231122012212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 231122012212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 87777648 + ... + 87780280.

It is an arithmetic number, because the mean of its divisors is an integer number (5214266400).

Almost surely, 2231122012212 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 231122012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250284787200).

231122012212 is an abundant number, since it is smaller than the sum of its proper divisors (269447562188).

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

231122012212 is a wasteful number, since it uses less digits than its factorization.

231122012212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3905 (or 3903 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 231122012212 its reverse (212210221132), we get a palindrome (443332233344).

The spelling of 231122012212 in words is "two hundred thirty-one billion, one hundred twenty-two million, twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 239 364 478 956 1009 1673 2018 2633 3107 3346 4036 5266 6214 6692 7063 10532 12428 13117 14126 18431 21749 26234 28252 34229 36862 43498 52468 68458 73724 86996 91819 136916 183638 239603 241151 367276 479206 482302 629287 958412 964604 1258574 1688057 2517148 2656697 3134963 3376114 4405009 5313394 6269926 6752228 8180731 8810018 10626788 12539852 16361462 17620036 18596879 21944741 32722924 34537061 37193758 43889482 57265117 69074122 74387516 87778964 114530234 138148244 229060468 241759427 483518854 634950583 967037708 1269901166 2539802332 4444654081 8254357579 8889308162 16508715158 17778616324 33017430316 57780503053 115561006106 231122012212