Search a number
-
+
1100010010212 = 2232372063400307
BaseRepresentation
bin10000000000011101101…
…101001011011001100100
310220011022120220100011100
4100000131231023121210
5121010310030311322
62201200532040100
7142321162545561
oct20003555133144
93804276810140
101100010010212
11394569a788a3
12159233163030
137c965ba1689
143b352951868
151d9317cbdac
hex1001db4b664

1100010010212 has 72 divisors (see below), whose sum is σ = 2857123092096. Its totient is φ = 356586179904.

The previous prime is 1100010010193. The next prime is 1100010010237. The reversal of 1100010010212 is 2120100100011.

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 = 1100010010194 and 1100010010203.

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, 2547763 + ... + 2948069.

It is an arithmetic number, because the mean of its divisors is an integer number (39682265168).

Almost surely, 21100010010212 is an apocalyptic number.

1100010010212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010010212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1428561546048).

1100010010212 is an abundant number, since it is smaller than the sum of its proper divisors (1757113081884).

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

1100010010212 is a wasteful number, since it uses less digits than its factorization.

1100010010212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402417 (or 402412 counting only the distinct ones).

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

Adding to 1100010010212 its reverse (2120100100011), we get a palindrome (3220110110223).

The spelling of 1100010010212 in words is "one trillion, one hundred billion, ten million, ten thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2063 4126 6189 8252 12378 18567 24756 37134 74268 76331 152662 228993 305324 400307 457986 686979 800614 915972 1200921 1373958 1601228 2401842 2747916 3602763 4803684 7205526 14411052 14811359 29622718 44434077 59245436 88868154 133302231 177736308 266604462 533208924 825833341 1651666682 2477500023 3303333364 4955000046 7432500069 9910000092 14865000138 29730000276 30555833617 61111667234 91667500851 122223334468 183335001702 275002502553 366670003404 550005005106 1100010010212