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101110220120 = 23572133968219
BaseRepresentation
bin101111000101010100…
…0111000010101011000
3100122222112201100221102
41132022220320111120
53124033204020440
6114241022530532
710206414455600
oct1361250702530
9318875640842
10101110220120
11399760a0998
1217719736a48
1396c482b220
144c7269dc00
15296b93db15
hex178aa38558

101110220120 has 96 divisors (see below), whose sum is σ = 284997560400. Its totient is φ = 31999709952.

The previous prime is 101110220063. The next prime is 101110220149. The reversal of 101110220120 is 21022011101.

It is a super-2 number, since 2×1011102201202 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1958630 + ... + 2009589.

Almost surely, 2101110220120 is an apocalyptic number.

101110220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110220120 is an abundant number, since it is smaller than the sum of its proper divisors (183887340280).

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

101110220120 is a wasteful number, since it uses less digits than its factorization.

101110220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3968257 (or 3968246 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101110220120 its reverse (21022011101), we get a palindrome (122132231221).

The spelling of 101110220120 in words is "one hundred one billion, one hundred ten million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 49 52 56 65 70 91 98 104 130 140 182 196 245 260 280 364 392 455 490 520 637 728 910 980 1274 1820 1960 2548 3185 3640 5096 6370 12740 25480 3968219 7936438 15872876 19841095 27777533 31745752 39682190 51586847 55555066 79364380 103173694 111110132 138887665 158728760 194442731 206347388 222220264 257934235 277775330 361107929 388885462 412694776 515868470 555550660 722215858 777770924 972213655 1031736940 1111101320 1444431716 1555541848 1805539645 1944427310 2063473880 2527755503 2888863432 3611079290 3888854620 5055511006 7222158580 7777709240 10111022012 12638777515 14444317160 20222044024 25277555030 50555110060 101110220120