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211141121141112 = 2331011131021754981
BaseRepresentation
bin110000000000100000011111…
…100001011110100101111000
31000200120220010202121111002220
4300000200133201132211320
5210133314004003003422
62025020520400524040
762321304545434341
oct6000403741364570
91020526122544086
10211141121141112
11613044a04a02a8
121b820692320620
1390a76a3618516
143a1d3db66b0c8
1519623e9ac9e5c
hexc0081f85e978

211141121141112 has 128 divisors (see below), whose sum is σ = 538324030278720. Its totient is φ = 68999132160000.

The previous prime is 211141121141081. The next prime is 211141121141129.

211141121141112 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 279286662 + ... + 280041642.

Almost surely, 2211141121141112 is an apocalyptic number.

It is an amenable number.

211141121141112 is an abundant number, since it is smaller than the sum of its proper divisors (327182909137608).

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

211141121141112 is a wasteful number, since it uses less digits than its factorization.

211141121141112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756225 (or 756221 counting only the distinct ones).

The product of its digits is 128, while the sum is 24.

The spelling of 211141121141112 in words is "two hundred eleven trillion, one hundred forty-one billion, one hundred twenty-one million, one hundred forty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 101 113 202 226 303 339 404 452 606 678 808 904 1021 1212 1356 2042 2424 2712 3063 4084 6126 8168 11413 12252 22826 24504 34239 45652 68478 91304 103121 115373 136956 206242 230746 273912 309363 346119 412484 461492 618726 692238 754981 824968 922984 1237452 1384476 1509962 2264943 2474904 2768952 3019924 4529886 6039848 9059772 11652673 18119544 23305346 34958019 46610692 69916038 76253081 85312853 93221384 139832076 152506162 170625706 228759243 255938559 279664152 305012324 341251412 457518486 511877118 610024648 682502824 770835601 915036972 1023754236 1541671202 1830073944 2047508472 2312506803 3083342404 4625013606 6166684808 8616598153 9250027212 17233196306 18500054424 25849794459 34466392612 51699588918 68932785224 77854395701 87104422913 103399177836 155708791402 174208845826 206798355672 233563187103 261313268739 311417582804 348417691652 467126374206 522626537478 622835165608 696835383304 934252748412 1045253074956 1868505496824 2090506149912 8797546714213 17595093428426 26392640142639 35190186856852 52785280285278 70380373713704 105570560570556 211141121141112