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212000101128 = 2332171025916883
BaseRepresentation
bin1100010101110000110…
…0001101001100001000
3202021012122120222120100
43011130030031030020
511433134011214003
6241220321525400
721213363061404
oct3053414151410
9667178528510
10212000101128
11819aa591852
12351064a3860
1316cb74baa2a
14a391b28104
1557abc14ba3
hex315c30d308

212000101128 has 96 divisors (see below), whose sum is σ = 608036738400. Its totient is φ = 66499413504.

The previous prime is 212000101003. The next prime is 212000101129. The reversal of 212000101128 is 821101000212.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212000101128.

It is not an unprimeable number, because it can be changed into a prime (212000101129) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12548575 + ... + 12565457.

It is an arithmetic number, because the mean of its divisors is an integer number (6333716025).

Almost surely, 2212000101128 is an apocalyptic number.

It is an amenable number.

212000101128 is an abundant number, since it is smaller than the sum of its proper divisors (396036637272).

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

212000101128 is a wasteful number, since it uses less digits than its factorization.

212000101128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27171 (or 27164 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The spelling of 212000101128 in words is "two hundred twelve billion, one hundred one thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 10259 16883 20518 30777 33766 41036 50649 61554 67532 82072 92331 101298 123108 135064 151947 174403 184662 202596 246216 287011 303894 348806 369324 405192 523209 574022 607788 697612 738648 861033 1046418 1148044 1215576 1395224 1569627 1722066 2092836 2296088 2583099 3139254 3444132 4185672 5166198 6278508 6888264 10332396 12557016 20664792 173202697 346405394 519608091 692810788 1039216182 1385621576 1558824273 2078432364 2944445849 3117648546 4156864728 5888891698 6235297092 8833337547 11777783396 12470594184 17666675094 23555566792 26500012641 35333350188 53000025282 70666700376 106000050564 212000101128