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211141222141112 = 23101661544972551
BaseRepresentation
bin110000000000100000100101…
…100010110000110010111000
31000200120220101210122211001122
4300000200211202300302320
5210133314210332003422
62025020534405404412
762321310213063104
oct6000404542606270
91020526353584048
10211141222141112
116130454250507a
121b820700109708
1390a76bb51c233
143a1d40ac3c904
1519624038cad42
hexc008258b0cb8

211141222141112 has 64 divisors (see below), whose sum is σ = 400493352024000. Its totient is φ = 104346633600000.

The previous prime is 211141222141111. The next prime is 211141222141243.

211141222141112 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211141222141111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2910209237 + ... + 2910281787.

It is an arithmetic number, because the mean of its divisors is an integer number (6257708625375).

Almost surely, 2211141222141112 is an apocalyptic number.

It is an amenable number.

211141222141112 is a deficient number, since it is larger than the sum of its proper divisors (189352129882888).

211141222141112 is a wasteful number, since it uses less digits than its factorization.

211141222141112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78768 (or 78764 counting only the distinct ones).

The product of its digits is 512, while the sum is 26.

The spelling of 211141222141112 in words is "two hundred eleven trillion, one hundred forty-one billion, two hundred twenty-two million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 101 202 404 661 808 1322 2644 5288 5449 10898 21796 43592 66761 72551 133522 145102 267044 290204 534088 550349 580408 1100698 2201396 3601789 4402792 7203578 7327651 14407156 14655302 28814312 29310604 47956211 58621208 95912422 191824844 363780689 383649688 395330399 727561378 790660798 1455122756 1581321596 2910245512 3162643192 4843577311 9687154622 19374309244 38748618488 39928370299 79856740598 159713481196 261313393739 319426962392 522626787478 1045253574956 2090507149912 26392652767639 52785305535278 105570611070556 211141222141112