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101000020110 = 23511315716111
BaseRepresentation
bin101111000010000010…
…0100000000010001110
3100122200212100121221120
41132010010200002032
53123322001120420
6114222044541410
710203606002013
oct1360404400216
9318625317846
10101000020110
1139919973000
12176a8851866
1396a7a55b12
144c61bb570a
152961e21d40
hex178412008e

101000020110 has 128 divisors (see below), whose sum is σ = 268336723968. Its totient is φ = 24327388800.

The previous prime is 101000020103. The next prime is 101000020139. The reversal of 101000020110 is 11020000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6260955 + ... + 6277065.

It is an arithmetic number, because the mean of its divisors is an integer number (2096380656).

Almost surely, 2101000020110 is an apocalyptic number.

101000020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101000020110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134168361984).

101000020110 is an abundant number, since it is smaller than the sum of its proper divisors (167336703858).

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

101000020110 is a wasteful number, since it uses less digits than its factorization.

101000020110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16311 (or 16289 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000020110 its reverse (11020000101), we get a palindrome (112020020211).

The spelling of 101000020110 in words is "one hundred one billion, twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 121 157 165 242 314 330 363 471 605 726 785 942 1210 1331 1570 1727 1815 2355 2662 3454 3630 3993 4710 5181 6655 7986 8635 10362 13310 16111 17270 18997 19965 25905 32222 37994 39930 48333 51810 56991 80555 94985 96666 113982 161110 177221 189970 208967 241665 284955 354442 417934 483330 531663 569910 626901 886105 1044835 1063326 1253802 1772210 1949431 2089670 2529427 2658315 3134505 3898862 5058854 5316630 5848293 6269010 7588281 9747155 11696586 12647135 15176562 19494310 21443741 25294270 27823697 29241465 37941405 42887482 55647394 58482930 64331223 75882810 83471091 107218705 128662446 139118485 166942182 214437410 278236970 306060667 321656115 417355455 612121334 643312230 834710910 918182001 1530303335 1836364002 3060606670 3366667337 4590910005 6733334674 9181820010 10100002011 16833336685 20200004022 33666673370 50500010055 101000020110