Search a number
-
+
100210012110 = 23351328549861
BaseRepresentation
bin101110101010011111…
…0110110111111001110
3100120122210211001201000
41131110332312333032
53120212230341420
6114011424201130
710145204022465
oct1352476667716
9316583731630
10100210012110
1139553a3732a
12175081691a6
1395b0190c70
144bc8ccb9dc
1529178c0690
hex1754fb6fce

100210012110 has 64 divisors (see below), whose sum is σ = 287782608960. Its totient is φ = 24667079040.

The previous prime is 100210012087. The next prime is 100210012129. The reversal of 100210012110 is 11210012001.

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 = 100210012092 and 100210012101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14271421 + ... + 14278440.

It is an arithmetic number, because the mean of its divisors is an integer number (4496603265).

Almost surely, 2100210012110 is an apocalyptic number.

100210012110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100210012110 is an abundant number, since it is smaller than the sum of its proper divisors (187572596850).

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

100210012110 is a wasteful number, since it uses less digits than its factorization.

100210012110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28549890 (or 28549884 counting only the distinct ones).

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

Adding to 100210012110 its reverse (11210012001), we get a palindrome (111420024111).

The spelling of 100210012110 in words is "one hundred billion, two hundred ten million, twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 28549861 57099722 85649583 142749305 171299166 256948749 285498610 371148193 428247915 513897498 742296386 770846247 856495830 1113444579 1284743745 1541692494 1855740965 2226889158 2569487490 3340333737 3711481930 3854231235 5567222895 6680667474 7708462470 10021001211 11134445790 16701668685 20042002422 33403337370 50105006055 100210012110