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211000000120 = 235713337172009
BaseRepresentation
bin1100010010000010010…
…1000111111001111000
3202011121221201120220021
43010200211013321320
511424112000000440
6240533154140224
721146530260130
oct3044045077170
9664557646807
10211000000120
1181536aaa098
1234a87581674
1316b882468a0
14a2d8d91ac0
15574e01384a
hex3120947e78

211000000120 has 128 divisors (see below), whose sum is σ = 586044950400. Its totient is φ = 66579480576.

The previous prime is 211000000109. The next prime is 211000000129. The reversal of 211000000120 is 21000000112.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000000129) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1140676 + ... + 1312684.

It is an arithmetic number, because the mean of its divisors is an integer number (4578476175).

Almost surely, 2211000000120 is an apocalyptic number.

211000000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211000000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293022475200).

211000000120 is an abundant number, since it is smaller than the sum of its proper divisors (375044950280).

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

211000000120 is a wasteful number, since it uses less digits than its factorization.

211000000120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172377 (or 172373 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 211000000120 its reverse (21000000112), we get a palindrome (232000000232).

The spelling of 211000000120 in words is "two hundred eleven billion, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 337 364 455 520 674 728 910 1348 1685 1820 2359 2696 3370 3640 4381 4718 6740 8762 9436 11795 13480 17524 18872 21905 23590 30667 35048 43810 47180 61334 87620 94360 122668 153335 172009 175240 245336 306670 344018 613340 688036 860045 1204063 1226680 1376072 1720090 2236117 2408126 3440180 4472234 4816252 6020315 6880360 8944468 9632504 11180585 12040630 15652819 17888936 22361170 24081260 31305638 44722340 48162520 57967033 62611276 78264095 89444680 115934066 125222552 156528190 231868132 289835165 313056380 405769231 463736264 579670330 626112760 753571429 811538462 1159340660 1507142858 1623076924 2028846155 2318681320 3014285716 3246153848 3767857145 4057692310 5275000003 6028571432 7535714290 8115384620 10550000006 15071428580 16230769240 21100000012 26375000015 30142857160 42200000024 52750000030 105500000060 211000000120