Search a number
-
+
211021110101100 = 223521324162152073
BaseRepresentation
bin101111111110110000101110…
…010011101100010001101100
31000200011102100222122222120010
4233332300232103230101230
5210124332213141213400
62024445432031453220
762306525553431325
oct5776605623542154
91020142328588503
10211021110101100
1161268606385702
121b80137a987210
139099289067100
143a17694a8d44c
15195e223b93450
hexbfec2e4ec46c

211021110101100 has 108 divisors (see below), whose sum is σ = 661132884042456. Its totient is φ = 51943657858560.

The previous prime is 211021110101077. The next prime is 211021110101107. The reversal of 211021110101100 is 1101011120112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (211021110101107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2081025337 + ... + 2081126736.

Almost surely, 2211021110101100 is an apocalyptic number.

211021110101100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211021110101100 is an abundant number, since it is smaller than the sum of its proper divisors (450111773941356).

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

211021110101100 is a wasteful number, since it uses less digits than its factorization.

211021110101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4162152116 (or 4162152096 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 211021110101100 its reverse (1101011120112), we get a palindrome (212122121221212).

The spelling of 211021110101100 in words is "two hundred eleven trillion, twenty-one billion, one hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 50700 4162152073 8324304146 12486456219 16648608292 20810760365 24972912438 41621520730 49945824876 54107976949 62432281095 83243041460 104053801825 108215953898 124864562190 162323930847 208107603650 216431907796 249729124380 270539884745 312161405475 324647861694 416215207300 541079769490 624322810950 649295723388 703403700337 811619654235 1082159538980 1248645621900 1352699423725 1406807400674 1623239308470 2110211101011 2705398847450 2813614801348 3246478616940 3517018501685 4058098271175 4220422202022 5410797694900 7034037003370 8116196542350 8440844404044 10551055505055 14068074006740 16232393084700 17585092508425 21102111010110 35170185016850 42204222020220 52755277525275 70340370033700 105510555050550 211021110101100