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211133001121312 = 2529941241778969
BaseRepresentation
bin110000000000011000111011…
…100010000011111000100000
31000200120010011212100201222211
4300000120323202003320200
5210133200341241340222
62025013054532411504
762320566406421254
oct6000307342037040
91020503155321884
10211133001121312
11613010039a8236
121b81aba6a76b94
1390a69ab27248a
143a1cc6b080264
1519620c1cc3277
hexc0063b883e20

211133001121312 has 48 divisors (see below), whose sum is σ = 430458442608600. Its totient is φ = 101817959004160.

The previous prime is 211133001121307. The next prime is 211133001121333. The reversal of 211133001121312 is 213121100331112.

It can be written as a sum of positive squares in 4 ways, for example, as 211063830017296 + 69171104016 = 14528036^2 + 263004^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120016237 + ... + 121762732.

Almost surely, 2211133001121312 is an apocalyptic number.

It is an amenable number.

211133001121312 is an abundant number, since it is smaller than the sum of its proper divisors (219325441487288).

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

211133001121312 is a wasteful number, since it uses less digits than its factorization.

211133001121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241779949 (or 241779941 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 22.

Adding to 211133001121312 its reverse (213121100331112), we get a palindrome (424254101452424).

The spelling of 211133001121312 in words is "two hundred eleven trillion, one hundred thirty-three billion, one million, one hundred twenty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 116 232 464 928 941 1882 3764 7528 15056 27289 30112 54578 109156 218312 436624 873248 241778969 483557938 967115876 1934231752 3868463504 7011590101 7736927008 14023180202 28046360404 56092720808 112185441616 224370883232 227514009829 455028019658 910056039316 1820112078632 3640224157264 6597906285041 7280448314528 13195812570082 26391625140164 52783250280328 105566500560656 211133001121312