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2120101110 = 2325172372203
BaseRepresentation
bin111111001011110…
…0010110011110110
312110202100021222100
41332113202303312
513320221213420
6550213042530
7103352363541
oct17627426366
95422307870
102120101110
11998818386
124b2026446
1327a3082ca
141617dd858
15c61d8190
hex7e5e2cf6

2120101110 has 144 divisors (see below), whose sum is σ = 6016576176. Its totient is φ = 517487616.

The previous prime is 2120101099. The next prime is 2120101133. The reversal of 2120101110 is 111010212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2120101092 and 2120101101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 961269 + ... + 963471.

It is an arithmetic number, because the mean of its divisors is an integer number (41781779).

Almost surely, 22120101110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120101110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3008288088).

2120101110 is an abundant number, since it is smaller than the sum of its proper divisors (3896475066).

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

2120101110 is a wasteful number, since it uses less digits than its factorization.

2120101110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2267 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2120101110 is about 46044.5557042307. Note that the first 3 decimals coincide. The cubic root of 2120101110 is about 1284.6520802034.

Adding to 2120101110 its reverse (111010212), we get a palindrome (2231111322).

The spelling of 2120101110 in words is "two billion, one hundred twenty million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 289 306 333 370 510 555 578 629 666 765 867 1110 1258 1445 1530 1665 1734 1887 2203 2601 2890 3145 3330 3774 4335 4406 5202 5661 6290 6609 8670 9435 10693 11015 11322 13005 13218 18870 19827 21386 22030 26010 28305 32079 33045 37451 39654 53465 56610 64158 66090 74902 81511 96237 99135 106930 112353 160395 163022 187255 192474 198270 224706 244533 320790 337059 374510 407555 481185 489066 561765 636667 674118 733599 815110 962370 1123530 1222665 1273334 1385687 1467198 1685295 1910001 2445330 2771374 3183335 3370590 3667995 3820002 4157061 5730003 6366670 6928435 7335990 8314122 9550005 11460006 12471183 13856870 19100010 20785305 23556679 24942366 28650015 41570610 47113358 57300030 62355915 70670037 117783395 124711830 141340074 212010111 235566790 353350185 424020222 706700370 1060050555 2120101110