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100212100110 = 232523941911119
BaseRepresentation
bin101110101010100011…
…0110100110000001110
3100120122221202010220100
41131111012310300032
53120213244200420
6114011541031530
710145230540113
oct1352506646016
9316587663810
10100212100110
1139555133051
12175089b55a6
1395b0742475
144bc92b290a
152917b84190
hex17551b4c0e

100212100110 has 96 divisors (see below), whose sum is σ = 262289664000. Its totient is φ = 26545514688.

The previous prime is 100212100099. The next prime is 100212100127. The reversal of 100212100110 is 11001212001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100212100092 and 100212100101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9007131 + ... + 9018249.

It is an arithmetic number, because the mean of its divisors is an integer number (2732184000).

Almost surely, 2100212100110 is an apocalyptic number.

100212100110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212100110 is an abundant number, since it is smaller than the sum of its proper divisors (162077563890).

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

100212100110 is a wasteful number, since it uses less digits than its factorization.

100212100110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790 (or 11787 counting only the distinct ones).

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

Adding to 100212100110 its reverse (11001212001), we get a palindrome (111213312111).

The spelling of 100212100110 in words is "one hundred billion, two hundred twelve million, one hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 239 419 478 717 838 1195 1257 1434 2095 2151 2390 2514 3585 3771 4190 4302 6285 7170 7542 10755 11119 12570 18855 21510 22238 33357 37710 55595 66714 100071 100141 111190 166785 200142 200282 300423 333570 500355 500705 600846 901269 1000710 1001410 1502115 1802538 2657441 3004230 4506345 4658861 5314882 7972323 9012690 9317722 13287205 13976583 15944646 23294305 23916969 26574410 27953166 39861615 41929749 46588610 47833938 69882915 79723230 83859498 119584845 139765830 209648745 239169690 419297490 1113467779 2226935558 3340403337 5567338895 6680806674 10021210011 11134677790 16702016685 20042420022 33404033370 50106050055 100212100110